Mixed Galerkin- Implicit Differences Methods for Solving Coupled Parabolic Boundary Value Problems with Variable Coefficients

Authors

  • Jamil Amir Al-Hawasy Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq
  • Wafaa Abd Ibrahim Department of Mathematics, Almuqdad College of Education, University of Diyala, Baqubah, Iraq https://orcid.org/0009-0005-6535-877X

DOI:

https://doi.org/10.24996/ijs.2024.65.5.27

Keywords:

Coupled parabolic boundary value problem, Galerkin finite element method, implicit difference method, Approximate solution

Abstract

In this paper, an approximation technique is introduced to solve the coupled linear parabolic boundary value problems with variable coefficients by using mixed of the Galerkin finite element method in space variable with implicit finite difference method in the time variable. At any discrete time this technique is transformed the coupled linear parabolic boundary value problems with variable coefficients into a linear algebraic system which is called a Galerkin a linear algebraic system, and then it is solved using the Cholesky Decomposition. Illustration examples are presented and the results are shown by figures and tables, and show the efficiency of the proposed method.

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Published

2024-05-30

Issue

Section

Mathematics

How to Cite

Mixed Galerkin- Implicit Differences Methods for Solving Coupled Parabolic Boundary Value Problems with Variable Coefficients. (2024). Iraqi Journal of Science, 65(5), 2693-2702. https://doi.org/10.24996/ijs.2024.65.5.27

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