Pub Date : 2019-01-30DOI: 10.3329/dujs.v67i1.54570
Md Morshadur Rahman, Md Akhtar Hossain
Antenatal care (ANC) utilization has a great role in reducing pregnancy-related complications and maternal mortality. Besides individual demographic and socio-economic factors, community characteristics can influence a mother‟s decision to seek antenatal care visits. This study makes an attempt to determine the influence of community education on adequate ANC visits in Bangladesh by using Bangladesh Demographic and Health Survey (BDHS) 2014 data. Multilevel logistic regression model has been employed for the purpose of the analysis. Study findings showed a significant positive association of community education on adequate ANC visits. Other community and individual level covariates such as place of residence, region of residence, birth order, mother‟s age at birth, household wealth, media access, husband‟s education, decision making on health care also showed significant association with adequate ANC visits. Dhaka Univ. J. Sci. 67(1): 41-46, 2019 (January)
{"title":"Impact of Community Education on Antenatal Care Visits in Bangladesh: A Multilevel Analysis","authors":"Md Morshadur Rahman, Md Akhtar Hossain","doi":"10.3329/dujs.v67i1.54570","DOIUrl":"https://doi.org/10.3329/dujs.v67i1.54570","url":null,"abstract":"Antenatal care (ANC) utilization has a great role in reducing pregnancy-related complications and maternal mortality. Besides individual demographic and socio-economic factors, community characteristics can influence a mother‟s decision to seek antenatal care visits. This study makes an attempt to determine the influence of community education on adequate ANC visits in Bangladesh by using Bangladesh Demographic and Health Survey (BDHS) 2014 data. Multilevel logistic regression model has been employed for the purpose of the analysis. Study findings showed a significant positive association of community education on adequate ANC visits. Other community and individual level covariates such as place of residence, region of residence, birth order, mother‟s age at birth, household wealth, media access, husband‟s education, decision making on health care also showed significant association with adequate ANC visits. \u0000Dhaka Univ. J. Sci. 67(1): 41-46, 2019 (January)","PeriodicalId":11280,"journal":{"name":"Dhaka University Journal of Science","volume":"41 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91184069","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-01-30DOI: 10.3329/dujs.v67i1.54565
Sadia Masud, N. C. Roy
We examine the conjugate effects of thermal and mass diffusion on the unsteady natural convection flow from a heated sphere. The mathematical model of the problem is made into a system of nonsimilar partial differential equations introducing appropriate transformations. We solve this system employing the implicit finite difference technique. Numerical solutions have been elucidated with the skin friction as well as heat and mass transfer for varying Prandtl number, Schmidt number, combined buoyancy parameter, and heat generation or absorption parameter. Dhaka Univ. J. Sci. 67(1): 13-20, 2019 (January)
{"title":"Conjugate Effects of Thermal and Mass Diffusion on Natural Convection Flow from a Heated Sphere with Internal Heat Generation or Absorption","authors":"Sadia Masud, N. C. Roy","doi":"10.3329/dujs.v67i1.54565","DOIUrl":"https://doi.org/10.3329/dujs.v67i1.54565","url":null,"abstract":"We examine the conjugate effects of thermal and mass diffusion on the unsteady natural convection flow from a heated sphere. The mathematical model of the problem is made into a system of nonsimilar partial differential equations introducing appropriate transformations. We solve this system employing the implicit finite difference technique. Numerical solutions have been elucidated with the skin friction as well as heat and mass transfer for varying Prandtl number, Schmidt number, combined buoyancy parameter, and heat generation or absorption parameter. \u0000Dhaka Univ. J. Sci. 67(1): 13-20, 2019 (January)","PeriodicalId":11280,"journal":{"name":"Dhaka University Journal of Science","volume":"5 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88728672","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-01-01DOI: 10.3329/dujs.v67i2.54588
M. Hossain, Md. Anwarul Islam, S. Begum, Maksuda Parvin
The as-triazines containing iron(II) methine chromophoric group; 3-(2-pyridyl)-5,6-diphenyl-as-triazine (PDT), and 3-(2- pyridyl)-5,6-bis(p-methoxyphenyl)-as-triazine (PBMPT) have been prepared from commercially available relatively cheaper reagents. The absorptiometric characteristics of the iron(II) complexes with PDT and PBMPT have been re-evaluated. The interference of copper ion on the determination of iron with these selective reagents and its masking has also been studied. The application of these spectrophotometric reagents for determination of iron in water samples based on the formation of extractable PDT-iron(II) and PBMPT-iron(II) complexes in chloroform medium has been described. Standard addition technique was used to verify the reliability of the method. Repeated determinations gave results with a very small standard deviation. Dhaka Univ. J. Sci. 67(2): 145-150, 2019 (July)
{"title":"Determination of Trace Amount of Iron with as-Triazine Containing Ferroin- Functional Group","authors":"M. Hossain, Md. Anwarul Islam, S. Begum, Maksuda Parvin","doi":"10.3329/dujs.v67i2.54588","DOIUrl":"https://doi.org/10.3329/dujs.v67i2.54588","url":null,"abstract":"The as-triazines containing iron(II) methine chromophoric group; 3-(2-pyridyl)-5,6-diphenyl-as-triazine (PDT), and 3-(2- pyridyl)-5,6-bis(p-methoxyphenyl)-as-triazine (PBMPT) have been prepared from commercially available relatively cheaper reagents. The absorptiometric characteristics of the iron(II) complexes with PDT and PBMPT have been re-evaluated. The interference of copper ion on the determination of iron with these selective reagents and its masking has also been studied. The application of these spectrophotometric reagents for determination of iron in water samples based on the formation of extractable PDT-iron(II) and PBMPT-iron(II) complexes in chloroform medium has been described. Standard addition technique was used to verify the reliability of the method. Repeated determinations gave results with a very small standard deviation. Dhaka Univ. J. Sci. 67(2): 145-150, 2019 (July)","PeriodicalId":11280,"journal":{"name":"Dhaka University Journal of Science","volume":"12 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81133800","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-01-01DOI: 10.3329/dujs.v67i2.54580
M. N. Dhali, Nandita Barman, M. B. Hasan
There are many trade time series parade having seasonality. This paper ponders on taking the appropriate smoothing constants of seasonal time series data using Holt-Winter’s exponential smoothing method in demand forecasting of toy production in a company. It is a quantitative technique in forecasting. This forecasting method is used three constants that assign weights to current demands and previous forecasts to decide on a new forecast. We have demonstrated the techniques how to choose these constants by presenting a real life example and calculated corresponding forecast value of this technique for the optimal smoothing constants. Dhaka Univ. J. Sci. 67(2): 99-104, 2019 (July)
{"title":"Determination of Optimal Smoothing Constants for Holt - Winter’s Multiplicative Method","authors":"M. N. Dhali, Nandita Barman, M. B. Hasan","doi":"10.3329/dujs.v67i2.54580","DOIUrl":"https://doi.org/10.3329/dujs.v67i2.54580","url":null,"abstract":"There are many trade time series parade having seasonality. This paper ponders on taking the appropriate smoothing constants of seasonal time series data using Holt-Winter’s exponential smoothing method in demand forecasting of toy production in a company. It is a quantitative technique in forecasting. This forecasting method is used three constants that assign weights to current demands and previous forecasts to decide on a new forecast. We have demonstrated the techniques how to choose these constants by presenting a real life example and calculated corresponding forecast value of this technique for the optimal smoothing constants. Dhaka Univ. J. Sci. 67(2): 99-104, 2019 (July)","PeriodicalId":11280,"journal":{"name":"Dhaka University Journal of Science","volume":"6 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89903000","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-01-01DOI: 10.3329/dujs.v67i2.54583
N. Ahmed, T. S. Mallick
In medical science, pharmaceutical studies, public health and socio-economic researches we often encounter the situation of excess of zeros in count data. This preponderance of zeros leads to overdispersion. In such cases traditional count data regression models like Poisson and negative binomial (NB) regression may not be pertinent for inference. The two most commonly used types of model that have been developed to adjust for excessivezeros in count data are Hurdle and zero-inflated models. In this study we have analyzed the antenatal care (ANC) visit data of pregnant women in Bangladesh using traditional and zero-modified count models. Based on the model selection criteria, we found that negative binomial hurdle model fits the data best. Through this analysis,we have perceived that the variables age of mother, division, birth order (order a child is born), place of residence, economic condition, media exposure of the mother, mainaccess road to village and education gap between husband and wife have significant impact on the mean number of ANC visits taken. Dhaka Univ. J. Sci. 67(2): 117-122, 2019 (July)
{"title":"Analysis of Antenatal Care Visit Data in Bangladesh Using Zero Modified Count Regression Model","authors":"N. Ahmed, T. S. Mallick","doi":"10.3329/dujs.v67i2.54583","DOIUrl":"https://doi.org/10.3329/dujs.v67i2.54583","url":null,"abstract":"In medical science, pharmaceutical studies, public health and socio-economic researches we often encounter the situation of excess of zeros in count data. This preponderance of zeros leads to overdispersion. In such cases traditional count data regression models like Poisson and negative binomial (NB) regression may not be pertinent for inference. The two most commonly used types of model that have been developed to adjust for excessivezeros in count data are Hurdle and zero-inflated models. In this study we have analyzed the antenatal care (ANC) visit data of pregnant women in Bangladesh using traditional and zero-modified count models. Based on the model selection criteria, we found that negative binomial hurdle model fits the data best. Through this analysis,we have perceived that the variables age of mother, division, birth order (order a child is born), place of residence, economic condition, media exposure of the mother, mainaccess road to village and education gap between husband and wife have significant impact on the mean number of ANC visits taken. Dhaka Univ. J. Sci. 67(2): 117-122, 2019 (July)","PeriodicalId":11280,"journal":{"name":"Dhaka University Journal of Science","volume":"12 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87998141","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-01-01DOI: 10.3329/dujs.v67i1.54564
H. Hena, Jenita Jahangir, Md. Showkat Ali
The calculus of differential forms has been applied to electromagnetic field theory in several papers and texts, some of which are cited in the references. Differential forms are underused in applied electromagnetic research. Differential forms represent unique visual appliance with graphical apprehension of electromagnetic fields. We study the calculus of differential forms and other fundamental principle of electromagnetic field theory. We hope to show in this paper that differential forms make Maxwell’s laws and some of their basic applications more intuitive and are a natural and powerful research tool in applied electromagnetics. Dhaka Univ. J. Sci. 67(1): 1-4, 2019 (January)
{"title":"Electromagnetics in Terms of Differential Forms","authors":"H. Hena, Jenita Jahangir, Md. Showkat Ali","doi":"10.3329/dujs.v67i1.54564","DOIUrl":"https://doi.org/10.3329/dujs.v67i1.54564","url":null,"abstract":"The calculus of differential forms has been applied to electromagnetic field theory in several papers and texts, some of which are cited in the references. Differential forms are underused in applied electromagnetic research. Differential forms represent unique visual appliance with graphical apprehension of electromagnetic fields. We study the calculus of differential forms and other fundamental principle of electromagnetic field theory. We hope to show in this paper that differential forms make Maxwell’s laws and some of their basic applications more intuitive and are a natural and powerful research tool in applied electromagnetics. Dhaka Univ. J. Sci. 67(1): 1-4, 2019 (January)","PeriodicalId":11280,"journal":{"name":"Dhaka University Journal of Science","volume":"1984 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91429554","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-01-01DOI: 10.3329/dujs.v67i2.54587
Mahfuzur Rahman Khokan
In this paper, it has been examined the effect of preceding birth interval on nutritional status in the form of Stunting of the children aged under 5 years of age in Bangladesh.For the purpose of the analysis, Bangladesh Demographic and Health Survey (BDHS), 2014 data has been used. The study cases are the children under 5 years aged born during last delivery of their mother. The response variable is Nutritional Status of under 5 year children in the form of stunting. The key independent variables is the length of the preceding birth interval, measured as the number of months between the births of the child under study.Bivariate analysis along with a Chi-square test has been performed to examine the association between preceding birth interval and stunting of the children. To determine the effect of preceding birth interval, three different logistic regression models (Model-I: considering only the preceding birth intervals, Model-II: covariate of model-I along with demographic and socioeconomic factors and Model-III: covariates of model-II along with health related factors) were considered. The occurrence of stunting has been found to be inversely related with the preceding birth interval for the children aged under 5 years in Bangladesh. This inverse association has been found statistically significant for three models.After adjusting the demographic, socio-economic and health-related factors, the OR (odds ratio) shows that the percentage of being stunted is 73% higher for the children whose preceding birth interval is less than 24 (<24) while it is 37% higher for the children whose preceding birth interval is between months compared to whose birth interval is more than 60 (60>) months with 99% confidence interval (1.27, 2.36)***and (1.07, 1.45)***respectively. Dhaka Univ. J. Sci. 67(2): 139-144, 2019 (July)
{"title":"The Effects of Birth Spacing on Nutritional Status in the form of Stunting of Under Five Children in Bangladesh: Evidence Based on BDHS, 2014 Data","authors":"Mahfuzur Rahman Khokan","doi":"10.3329/dujs.v67i2.54587","DOIUrl":"https://doi.org/10.3329/dujs.v67i2.54587","url":null,"abstract":"In this paper, it has been examined the effect of preceding birth interval on nutritional status in the form of Stunting of the children aged under 5 years of age in Bangladesh.For the purpose of the analysis, Bangladesh Demographic and Health Survey (BDHS), 2014 data has been used. The study cases are the children under 5 years aged born during last delivery of their mother. The response variable is Nutritional Status of under 5 year children in the form of stunting. The key independent variables is the length of the preceding birth interval, measured as the number of months between the births of the child under study.Bivariate analysis along with a Chi-square test has been performed to examine the association between preceding birth interval and stunting of the children. To determine the effect of preceding birth interval, three different logistic regression models (Model-I: considering only the preceding birth intervals, Model-II: covariate of model-I along with demographic and socioeconomic factors and Model-III: covariates of model-II along with health related factors) were considered. The occurrence of stunting has been found to be inversely related with the preceding birth interval for the children aged under 5 years in Bangladesh. This inverse association has been found statistically significant for three models.After adjusting the demographic, socio-economic and health-related factors, the OR (odds ratio) shows that the percentage of being stunted is 73% higher for the children whose preceding birth interval is less than 24 (<24) while it is 37% higher for the children whose preceding birth interval is between months compared to whose birth interval is more than 60 (60>) months with 99% confidence interval (1.27, 2.36)***and (1.07, 1.45)***respectively. Dhaka Univ. J. Sci. 67(2): 139-144, 2019 (July)","PeriodicalId":11280,"journal":{"name":"Dhaka University Journal of Science","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86844723","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-01-01DOI: 10.3329/dujs.v67i1.54568
Z. Hossain, Atikur Rahman, Moyazzem Hossain, J. Karami
In time series analysis, over-differencing is a common phenomenon to make the data to be stationary. However, it is not always a good idea to take over-differencing in order to ensure the stationarity of time series data. In this paper, the effect of over-differencing has been investigated via a simulation study to observe how far or how close the fitted model from the true one. Simulation results show that the fitted model is found to be different and very far from the true model because of over-differencing in most of the scenarios considered in this study. In practice, it may be worthy to consider differencing as well as suitable transformation of the time series data to make it stationary. Both transformation and differencing are used for a non-stationary time series data on average monthly house prices to ensure it to be stationary. We then analyse the data and make prediction for the future values. Dhaka Univ. J. Sci. 67(1): 21-26, 2019 (January)
{"title":"Over-Differencing and Forecasting with Non-Stationary Time Series Data","authors":"Z. Hossain, Atikur Rahman, Moyazzem Hossain, J. Karami","doi":"10.3329/dujs.v67i1.54568","DOIUrl":"https://doi.org/10.3329/dujs.v67i1.54568","url":null,"abstract":"In time series analysis, over-differencing is a common phenomenon to make the data to be stationary. However, it is not always a good idea to take over-differencing in order to ensure the stationarity of time series data. In this paper, the effect of over-differencing has been investigated via a simulation study to observe how far or how close the fitted model from the true one. Simulation results show that the fitted model is found to be different and very far from the true model because of over-differencing in most of the scenarios considered in this study. In practice, it may be worthy to consider differencing as well as suitable transformation of the time series data to make it stationary. Both transformation and differencing are used for a non-stationary time series data on average monthly house prices to ensure it to be stationary. We then analyse the data and make prediction for the future values. Dhaka Univ. J. Sci. 67(1): 21-26, 2019 (January)","PeriodicalId":11280,"journal":{"name":"Dhaka University Journal of Science","volume":"61 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89008186","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-07-26DOI: 10.3329/DUJS.V66I2.54560
M. Hossain, M. Hasan, M. Shoeb, M. Mamun, N. Nahar, M. Mosihuzzaman
Momordica charantia is a member of the Cucurbitaceae family having diverse biological activities. Two cucurbitane type triterpene glycoside have been isolated from 1-butanol soluble part of clear juice of M. charantia fruit pulp through column chromatography and HPLC. The isolated compounds were characterized as compound MC1 (3β, 7-O-β-glucopyranosyl-25-methoxy cucurbita –5-en-19-al) and compound MC2 (5β, 19-epoxy- 3- O-glucopyranosyl-25 methoxy cucurbita-6, 23-dien) with the help of UV Spectroscopy, Thin Layer Chromatography, IR Spectroscopy, 1H, 13C and dept-135 NMR. The proposed structures of the compounds were further confirmed by comparing the 13C-NMR values of the compounds with previous reported data. Dhaka Univ. J. Sci. 66(2): 145-149, 2018 (July)
{"title":"Isolation and Characterization of Two Cucurbitane Type Triterpenoid Glycocide from 1-Butanol Soluble Part of Momordica charantia Fruit Pulp Juice","authors":"M. Hossain, M. Hasan, M. Shoeb, M. Mamun, N. Nahar, M. Mosihuzzaman","doi":"10.3329/DUJS.V66I2.54560","DOIUrl":"https://doi.org/10.3329/DUJS.V66I2.54560","url":null,"abstract":"Momordica charantia is a member of the Cucurbitaceae family having diverse biological activities. Two cucurbitane type triterpene glycoside have been isolated from 1-butanol soluble part of clear juice of M. charantia fruit pulp through column chromatography and HPLC. The isolated compounds were characterized as compound MC1 (3β, 7-O-β-glucopyranosyl-25-methoxy cucurbita –5-en-19-al) and compound MC2 (5β, 19-epoxy- 3- O-glucopyranosyl-25 methoxy cucurbita-6, 23-dien) with the help of UV Spectroscopy, Thin Layer Chromatography, IR Spectroscopy, 1H, 13C and dept-135 NMR. The proposed structures of the compounds were further confirmed by comparing the 13C-NMR values of the compounds with previous reported data. \u0000Dhaka Univ. J. Sci. 66(2): 145-149, 2018 (July)","PeriodicalId":11280,"journal":{"name":"Dhaka University Journal of Science","volume":"19 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79402790","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-07-26DOI: 10.3329/dujs.v66i2.54562
Nazrul Islam, M. Islam
In this paper, we use the Galerkin technique for solving higher order linear and nonlinear boundary value problems (BVPs). The well-known Bezier polynomials are exploited as basis functions in the technique. To use the Bezier polynomials, we need to satisfy the corresponding homogeneous form of the boundary conditions and modification is thus needed. A rigorous matrix formulation is developed by the Galerkin method for linear and nonlinear systems and solved it using Bezier polynomials. The approximate solutions are compared to the exact solutions through tabular form. All problems are computed using the software MATHEMATICA. Dhaka Univ. J. Sci. 66(2): 157-162, 2018 (July)
{"title":"Bezier Polynomials with Applications","authors":"Nazrul Islam, M. Islam","doi":"10.3329/dujs.v66i2.54562","DOIUrl":"https://doi.org/10.3329/dujs.v66i2.54562","url":null,"abstract":"In this paper, we use the Galerkin technique for solving higher order linear and nonlinear boundary value problems (BVPs). The well-known Bezier polynomials are exploited as basis functions in the technique. To use the Bezier polynomials, we need to satisfy the corresponding homogeneous form of the boundary conditions and modification is thus needed. A rigorous matrix formulation is developed by the Galerkin method for linear and nonlinear systems and solved it using Bezier polynomials. The approximate solutions are compared to the exact solutions through tabular form. All problems are computed using the software MATHEMATICA. \u0000Dhaka Univ. J. Sci. 66(2): 157-162, 2018 (July)","PeriodicalId":11280,"journal":{"name":"Dhaka University Journal of Science","volume":"63 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84360906","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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