Linear B-spline finite element Method for solving delay reaction diffusion equation

Document Type : Research Paper

Authors

1 Department of Mathematics‎, ‎Wollega University‎, ‎Nekemte‎, ‎Ethiopia.

2 Department of Mathematics‎, ‎Jimma University‎, ‎Jimma‎, ‎Ethiopia.

Abstract

This paper is concerned with the numerical treatment of delay reaction-diffusion with the Dirichlet boundary condition. The finite element method with linear B-spline basis functions is utilized to discretize the space variable. The Crank-Nicolson method is used for the processes of time discretization. Sufficient and necessary conditions for the numerical method to be asymptotically stable are investigated. The convergence of the numerical method is studied. Some numerical experiments are performed to verify the applicability of the numerical method. 

Keywords

References

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Computational Methods for Differential Equations
Volume 11, Issue 1
January 2023
Pages 161-174

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History

  • Receive Date: 29 December 2021
  • Revise Date: 24 May 2022
  • Accept Date: 06 June 2022

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