Quintic B-Spline Method for Solving Sharma Tasso Oliver Equation  

作　　者：Talaat S. Eldanaf Mohamed Elsayed Mahmoud A. Eissa Faisal Ezz-Eldeen Abd Alaal Talaat S. Eldanaf;Mohamed Elsayed;Mahmoud A. Eissa;Faisal Ezz-Eldeen Abd Alaal(Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin El-Kom, Egypt;Basic Science Department, School of Engineering, Canadian International College “CIC”, Giza, Egypt;Department of Mathematics, Faculty of Science, Damanhour University, Damanhour, Egypt)

机构地区：[1]Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin El-Kom, Egypt [2]Basic Science Department, School of Engineering, Canadian International College “CIC”, Giza, Egypt [3]Department of Mathematics, Faculty of Science, Damanhour University, Damanhour, Egypt

出　　处：《Journal of Applied Mathematics and Physics》2022年第12期3920-3936,共17页应用数学与应用物理（英文）

摘　　要：When analysing the thermal conductivity of magnetic fluids, the traditional Sharma-Tasso-Olver (STO) equation is crucial. The Sharma-Tasso-Olive equation’s approximate solution is the primary goal of this work. The quintic B-spline collocation method is used for solving such nonlinear partial differential equations. The developed plan uses the collocation approach and finite difference method to solve the problem under consideration. The given problem is discretized in both time and space directions. Forward difference formula is used for temporal discretization. Collocation method is used for spatial discretization. Additionally, by using Von Neumann stability analysis, it is demonstrated that the devised scheme is stable and convergent with regard to time. Examining two analytical approaches to show the effectiveness and performance of our approximate solution.When analysing the thermal conductivity of magnetic fluids, the traditional Sharma-Tasso-Olver (STO) equation is crucial. The Sharma-Tasso-Olive equation’s approximate solution is the primary goal of this work. The quintic B-spline collocation method is used for solving such nonlinear partial differential equations. The developed plan uses the collocation approach and finite difference method to solve the problem under consideration. The given problem is discretized in both time and space directions. Forward difference formula is used for temporal discretization. Collocation method is used for spatial discretization. Additionally, by using Von Neumann stability analysis, it is demonstrated that the devised scheme is stable and convergent with regard to time. Examining two analytical approaches to show the effectiveness and performance of our approximate solution.

关 键 词：Nonlinear Partial Differential Equations Sharma-Tasso-Olver (STO) Equation Quintic B-Spline Collocation Method Von Neumann Stability Analysis 

分 类 号：O17[理学—数学]