Pub Date : 2019-08-01DOI: 10.26480/msmk.02.2019.08.10
Bawar Mohammed Faraj, Faraedoon Waly Ahmed
{"title":"ON THE MATLAB TECHNIQUE BY USING LAPLACE TRANSFORM FOR SOLVING SECOND ORDER ODE WITH INITIAL CONDITIONS EXACTLY","authors":"Bawar Mohammed Faraj, Faraedoon Waly Ahmed","doi":"10.26480/msmk.02.2019.08.10","DOIUrl":"https://doi.org/10.26480/msmk.02.2019.08.10","url":null,"abstract":"","PeriodicalId":32521,"journal":{"name":"Matrix Science Mathematic","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42279333","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 : 2019-07-31DOI: 10.26480/msmk.02.2019.01.07
N. Gupta, N. Kanth
{"title":"ANALYTICAL APPROXIMATE SOLUTION OF HEAT CONDUCTION EQUATION USING NEW HOMOTOPY PERTURBATION METHOD","authors":"N. Gupta, N. Kanth","doi":"10.26480/msmk.02.2019.01.07","DOIUrl":"https://doi.org/10.26480/msmk.02.2019.01.07","url":null,"abstract":"","PeriodicalId":32521,"journal":{"name":"Matrix Science Mathematic","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46947770","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 : 2019-01-07DOI: 10.26480/msmk.01.2019.01.04
M. Ikram, Abbas J. Muhammad, Atiq Ur Rahmn
{"title":"ANALYTIC SOLUTION TO BENJAMIN-BONA-MAHONY EQUATION BY USING LAPLACE ADOMIAN DECOMPOSITION METHOD","authors":"M. Ikram, Abbas J. Muhammad, Atiq Ur Rahmn","doi":"10.26480/msmk.01.2019.01.04","DOIUrl":"https://doi.org/10.26480/msmk.01.2019.01.04","url":null,"abstract":"","PeriodicalId":32521,"journal":{"name":"Matrix Science Mathematic","volume":"118 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69336501","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 : 2019-01-07DOI: 10.26480/msmk.01.2019.20.24
I. Haq
Nonlinear phenomena played a very important role in science especially in the field of applied Mathematics, Physics and Engineering etc., since after the appearance of super computer; it is not difficult to obtain the solution of linear problem. But unfortunately, it is still difficult to solve nonlinear problem analytically. Commonly, the nonlinear problem is determined to be the type of nonlinear equation and then using the analytic method for its solution. The analytic methods are fast developing, but still have some deficiencies. Homotopy Perturbation Method was first presented [1,2]. The method of Homotopy Perturbation Method applied by many authors to find the solution of various nonlinear problem in the field of science and engineering [3-6].
{"title":"ANALYTICAL APPROXIMATE SOLUTION OF NON-LINEAR PROBLEM BY HOMOTOPY PERTURBATION METHOD (HPM)","authors":"I. Haq","doi":"10.26480/msmk.01.2019.20.24","DOIUrl":"https://doi.org/10.26480/msmk.01.2019.20.24","url":null,"abstract":"Nonlinear phenomena played a very important role in science especially in the field of applied Mathematics, Physics and Engineering etc., since after the appearance of super computer; it is not difficult to obtain the solution of linear problem. But unfortunately, it is still difficult to solve nonlinear problem analytically. Commonly, the nonlinear problem is determined to be the type of nonlinear equation and then using the analytic method for its solution. The analytic methods are fast developing, but still have some deficiencies. Homotopy Perturbation Method was first presented [1,2]. The method of Homotopy Perturbation Method applied by many authors to find the solution of various nonlinear problem in the field of science and engineering [3-6].","PeriodicalId":32521,"journal":{"name":"Matrix Science Mathematic","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42404248","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 : 2019-01-07DOI: 10.26480/MSMK.01.2019.05.08
Nigar Ali, Saeed Ahmad, Sartaj Aziz, G. Zaman
In this article, the Adomian decomposition method (ADM) is applied to find the solution of HIV infection model of latently infected CD4+T cells. This method investigates the solution of ordinary differential equation which is calculated in the form of the components of an infinite series. These components can be easily calculated. The efficiency and the reliability of proposed method is demonstrated in different time intervals by numerical example. The derived results indicate that the approximate solution by using the ADM can be obtained in a more efficient way. All computations have been carried out by computer code written in Mathematica.
{"title":"THE ADOMIAN DECOMPOSITION METHOD FOR SOLVING HIV INFECTION MODEL OF LATENTLY INFECTED CELLS","authors":"Nigar Ali, Saeed Ahmad, Sartaj Aziz, G. Zaman","doi":"10.26480/MSMK.01.2019.05.08","DOIUrl":"https://doi.org/10.26480/MSMK.01.2019.05.08","url":null,"abstract":"In this article, the Adomian decomposition method (ADM) is applied to find the solution of HIV infection model of latently infected CD4+T cells. This method investigates the solution of ordinary differential equation which is calculated in the form of the components of an infinite series. These components can be easily calculated. The efficiency and the reliability of proposed method is demonstrated in different time intervals by numerical example. The derived results indicate that the approximate solution by using the ADM can be obtained in a more efficient way. All computations have been carried out by computer code written in Mathematica.","PeriodicalId":32521,"journal":{"name":"Matrix Science Mathematic","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44197149","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 : 2019-01-07DOI: 10.26480/msmk.01.2019.09.12
A. Zada, Hafiz Ullah
{"title":"DECOMPOSITION OF Cm THROUGH Q-PERIODIC DISCRETE EVOLUTION FAMILY","authors":"A. Zada, Hafiz Ullah","doi":"10.26480/msmk.01.2019.09.12","DOIUrl":"https://doi.org/10.26480/msmk.01.2019.09.12","url":null,"abstract":"","PeriodicalId":32521,"journal":{"name":"Matrix Science Mathematic","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42267754","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 : 2019-01-07DOI: 10.26480/MSMK.01.2019.17.19
Ghazala Nazir, S. Gul
This study investigates the application of differential transformation method and variational iteration method in finding the approximate solution of Ebola model. Variational iteration method uses the general Lagrange multiplier to construct the correction functional for the problem while differential transformation method uses the transformed function of the original nonlinear system. The result revealed that both methods are in complete agreement, accurate and efficient for solving systems of ODEs.
{"title":"COMPARATIVE STUDY OF MATHEMATICAL MODEL OF EBOLA VIRUS DISEASE VIA USING DIFFERENTIAL TRANSFORM METHOD AND VARIATION OF ITERATION METHOD","authors":"Ghazala Nazir, S. Gul","doi":"10.26480/MSMK.01.2019.17.19","DOIUrl":"https://doi.org/10.26480/MSMK.01.2019.17.19","url":null,"abstract":"This study investigates the application of differential transformation method and variational iteration method in finding the approximate solution of Ebola model. Variational iteration method uses the general Lagrange multiplier to construct the correction functional for the problem while differential transformation method uses the transformed function of the original nonlinear system. The result revealed that both methods are in complete agreement, accurate and efficient for solving systems of ODEs.","PeriodicalId":32521,"journal":{"name":"Matrix Science Mathematic","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44397180","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 : 2019-01-07DOI: 10.26480/MSMK.01.2019.13.16
Hassan Khan, M. Arif, S. Mohyud-Din
In this paper Chebyshev Wavelets Method (CWM) is applied to obtain the numerical solutions of fractional fourth, sixth and eighth order linear and nonlinear boundary value problems. The solutions of the fractional order problems are shown to be convergent to the integer order solution of that problem. The computational work is done successfully with the help of the proposed algorithm and hence this algorithm can be extended to other physical problems. High level of accuracy is obtained by the present method.
{"title":"NUMERICAL SOLUTION OF FRACTIONAL BOUNDARY VALUE PROBLEMS BY USING CHEBYSHEV WAVELET METHOD","authors":"Hassan Khan, M. Arif, S. Mohyud-Din","doi":"10.26480/MSMK.01.2019.13.16","DOIUrl":"https://doi.org/10.26480/MSMK.01.2019.13.16","url":null,"abstract":"In this paper Chebyshev Wavelets Method (CWM) is applied to obtain the numerical solutions of fractional fourth, sixth and eighth order linear and nonlinear boundary value problems. The solutions of the fractional order problems are shown to be convergent to the integer order solution of that problem. The computational work is done successfully with the help of the proposed algorithm and hence this algorithm can be extended to other physical problems. High level of accuracy is obtained by the present method.","PeriodicalId":32521,"journal":{"name":"Matrix Science Mathematic","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41494229","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 : 2018-08-01DOI: 10.26480/msmk.02.2018.32.36
Md. Yasin Ali, K. R. Chowdhury, A. Sultana, N. K. Mitra
{"title":"STUDIES ON SOFT HEMIRINGS AND ITS APPLICATION IN GRAPH THEORY","authors":"Md. Yasin Ali, K. R. Chowdhury, A. Sultana, N. K. Mitra","doi":"10.26480/msmk.02.2018.32.36","DOIUrl":"https://doi.org/10.26480/msmk.02.2018.32.36","url":null,"abstract":"","PeriodicalId":32521,"journal":{"name":"Matrix Science Mathematic","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46869203","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 : 2018-08-01DOI: 10.26480/MSMK.02.2018.37.39
Nisar Ahmad, Mutahir Ali, F. Ali, Arif Mehmood Khattak
{"title":"LEFT DOUBLE DISPLACEMENT SEMIGROUP: A FIRST RESULT","authors":"Nisar Ahmad, Mutahir Ali, F. Ali, Arif Mehmood Khattak","doi":"10.26480/MSMK.02.2018.37.39","DOIUrl":"https://doi.org/10.26480/MSMK.02.2018.37.39","url":null,"abstract":"","PeriodicalId":32521,"journal":{"name":"Matrix Science Mathematic","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45501638","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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