Pub Date : 2022-12-01DOI: 10.17512/jamcm.2022.4.03
Youcef Henka, S. Lemita, M. Aissaoui
{"title":"Numerical study for a second order Fredholm integro-differential equation by applying Galerkin-Chebyshev-wavelets method","authors":"Youcef Henka, S. Lemita, M. Aissaoui","doi":"10.17512/jamcm.2022.4.03","DOIUrl":"https://doi.org/10.17512/jamcm.2022.4.03","url":null,"abstract":"","PeriodicalId":43867,"journal":{"name":"Journal of Applied Mathematics and Computational Mechanics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42985370","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 : 2022-12-01DOI: 10.17512/jamcm.2022.4.08
Elia Violino, K. Bousson
. The aim of this work is to design a robust predictive attitude controller when the disturbance is not known and it is modelled based on the stochastic theory and not directly from the environment and its laws. The paper starts with a brief introduction about the interest of attitude control, the state of the art, the limitations and the objectives of the research work. Then it moves on the control model chosen for the work. The main part is related to the modelling of the stochastic disturbance and the actuation of the controller. The results obtained match the initial idea about the capability of the controller to work under an unknown disturbance torque. Indeed, the graphical results show, for all the different conditions considered, that the required attitude is always reached, meaning that the aim of this work was achieved. MSC 2010: 93E03, 93E25
{"title":"Robust predictive attitude control with stochastic dynamics","authors":"Elia Violino, K. Bousson","doi":"10.17512/jamcm.2022.4.08","DOIUrl":"https://doi.org/10.17512/jamcm.2022.4.08","url":null,"abstract":". The aim of this work is to design a robust predictive attitude controller when the disturbance is not known and it is modelled based on the stochastic theory and not directly from the environment and its laws. The paper starts with a brief introduction about the interest of attitude control, the state of the art, the limitations and the objectives of the research work. Then it moves on the control model chosen for the work. The main part is related to the modelling of the stochastic disturbance and the actuation of the controller. The results obtained match the initial idea about the capability of the controller to work under an unknown disturbance torque. Indeed, the graphical results show, for all the different conditions considered, that the required attitude is always reached, meaning that the aim of this work was achieved. MSC 2010: 93E03, 93E25","PeriodicalId":43867,"journal":{"name":"Journal of Applied Mathematics and Computational Mechanics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49433784","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 : 2022-12-01DOI: 10.17512/jamcm.2022.4.10
M. Zych, E. Gawrońska, R. Dyja, P. Krawiec
. The article presents the application of swarming algorithms in heat conduction, taking into account the continuity of the boundary condition (type IV). The influence of the input parameters of the bee and ant algorithm and tessellation on the selection of the heat conduction coefficient between the casting mold and the casting in computer simulations was presented. The results were compared for two different finite element grids, a different number of individuals, and a different number of iterations. The study also considered the magnitude of the reference temperature disturbance as the input temperature for numerical calculations. The analysis showed that the relative error of reproducing the value of the thermal conductivity coefficient in the continuity condition did not exceed 1.5% of the reference value of this coefficient.
{"title":"Impact of input parameters on numerical calculations optimized by swarming algorithms during computer simulations of the heat conduction phenomenon","authors":"M. Zych, E. Gawrońska, R. Dyja, P. Krawiec","doi":"10.17512/jamcm.2022.4.10","DOIUrl":"https://doi.org/10.17512/jamcm.2022.4.10","url":null,"abstract":". The article presents the application of swarming algorithms in heat conduction, taking into account the continuity of the boundary condition (type IV). The influence of the input parameters of the bee and ant algorithm and tessellation on the selection of the heat conduction coefficient between the casting mold and the casting in computer simulations was presented. The results were compared for two different finite element grids, a different number of individuals, and a different number of iterations. The study also considered the magnitude of the reference temperature disturbance as the input temperature for numerical calculations. The analysis showed that the relative error of reproducing the value of the thermal conductivity coefficient in the continuity condition did not exceed 1.5% of the reference value of this coefficient.","PeriodicalId":43867,"journal":{"name":"Journal of Applied Mathematics and Computational Mechanics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43323875","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 : 2022-12-01DOI: 10.17512/jamcm.2022.4.07
D. Srinivasacharya, Bhanoth Rajender
. A free convective flow of an incompressible viscous fluid past an isothermal vertical cone is investigated with variable viscosity and variable thermal conductivity. The constant wall temperature (CWT) and constant wall heat flux (CHF) conditions are used as temperature boundary conditions at the surface of the cone. The successive linearization method is applied to linearize the governing nonlinear differential equations of the flow. The numerical solution for the resulting linear equations is attained through the Chebyshev spectral collocation method. The impact of significant parameters on the velocity and temperature, in addition to heat and mass transfer rates, is evaluated and represented graphically for the CWT and CHF situations. The local heat transfer rate decreases, and the coefficient of the skin friction increases with an increase in the viscosity and thermal conductivity parameters for CWT conditions, but the reverse trend is noticed for CHF conditions. MSC 2010
{"title":"The impact of variable fluid properties on natural convection flow past a vertical cone","authors":"D. Srinivasacharya, Bhanoth Rajender","doi":"10.17512/jamcm.2022.4.07","DOIUrl":"https://doi.org/10.17512/jamcm.2022.4.07","url":null,"abstract":". A free convective flow of an incompressible viscous fluid past an isothermal vertical cone is investigated with variable viscosity and variable thermal conductivity. The constant wall temperature (CWT) and constant wall heat flux (CHF) conditions are used as temperature boundary conditions at the surface of the cone. The successive linearization method is applied to linearize the governing nonlinear differential equations of the flow. The numerical solution for the resulting linear equations is attained through the Chebyshev spectral collocation method. The impact of significant parameters on the velocity and temperature, in addition to heat and mass transfer rates, is evaluated and represented graphically for the CWT and CHF situations. The local heat transfer rate decreases, and the coefficient of the skin friction increases with an increase in the viscosity and thermal conductivity parameters for CWT conditions, but the reverse trend is noticed for CHF conditions. MSC 2010","PeriodicalId":43867,"journal":{"name":"Journal of Applied Mathematics and Computational Mechanics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46080627","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 : 2022-12-01DOI: 10.17512/jamcm.2022.4.06
Joanna Kulawik
{"title":"Estimating the distance to an object from grayscale stereo images using deep learning","authors":"Joanna Kulawik","doi":"10.17512/jamcm.2022.4.06","DOIUrl":"https://doi.org/10.17512/jamcm.2022.4.06","url":null,"abstract":"","PeriodicalId":43867,"journal":{"name":"Journal of Applied Mathematics and Computational Mechanics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45542450","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 : 2022-09-01DOI: 10.17512/jamcm.2022.3.06
R. Kvit
{"title":"Investigation of probabilistic aspects reliability of isotropic bodies with internal defects","authors":"R. Kvit","doi":"10.17512/jamcm.2022.3.06","DOIUrl":"https://doi.org/10.17512/jamcm.2022.3.06","url":null,"abstract":"","PeriodicalId":43867,"journal":{"name":"Journal of Applied Mathematics and Computational Mechanics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46240764","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 : 2022-09-01DOI: 10.17512/jamcm.2022.3.01
A. Benrabah
{"title":"Conditional stability estimate for an ill-posed elliptic equation by using nonlocal conditions","authors":"A. Benrabah","doi":"10.17512/jamcm.2022.3.01","DOIUrl":"https://doi.org/10.17512/jamcm.2022.3.01","url":null,"abstract":"","PeriodicalId":43867,"journal":{"name":"Journal of Applied Mathematics and Computational Mechanics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48312356","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 : 2022-09-01DOI: 10.17512/jamcm.2022.3.08
M. K. Prasad, P. Sarkar
{"title":"An analytical study of couple stress fluid through a sphere with an influence of the magnetic field","authors":"M. K. Prasad, P. Sarkar","doi":"10.17512/jamcm.2022.3.08","DOIUrl":"https://doi.org/10.17512/jamcm.2022.3.08","url":null,"abstract":"","PeriodicalId":43867,"journal":{"name":"Journal of Applied Mathematics and Computational Mechanics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46593581","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 : 2022-09-01DOI: 10.17512/jamcm.2022.3.07
E. Majchrzak, Mikołaj Stryczyński
{"title":"Numerical analysis of biological tissue heating using the dual-phase lag equation with temperature – dependent parameters","authors":"E. Majchrzak, Mikołaj Stryczyński","doi":"10.17512/jamcm.2022.3.07","DOIUrl":"https://doi.org/10.17512/jamcm.2022.3.07","url":null,"abstract":"","PeriodicalId":43867,"journal":{"name":"Journal of Applied Mathematics and Computational Mechanics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47527761","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 : 2022-09-01DOI: 10.17512/jamcm.2022.3.05
M. Kumar
{"title":"Solutions of Benjamin-Bona-Mahony, modified Camassa-Holm and Degasperis-Procesi equations using an iterative method","authors":"M. Kumar","doi":"10.17512/jamcm.2022.3.05","DOIUrl":"https://doi.org/10.17512/jamcm.2022.3.05","url":null,"abstract":"","PeriodicalId":43867,"journal":{"name":"Journal of Applied Mathematics and Computational Mechanics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42857654","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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