A Finite Element Method for Numerical Solution of Parabolic Di usion-Reaction Equation

Authors

  • Sadia Akter Lima Department of Applied Mathematics, Noakhali Science and Technology University, Noakhali-3814, Bangladesh
  • Faizunnesa Khondaker Department of Mathematics, Jagannath University, Dhaka-1100, Bangladesh

DOI:

https://doi.org/10.3329/ganit.v42i2.68018

Keywords:

Finite Element Method; Di usion-Reaction Equations; PDEs; Error Analysis

Abstract

This study considers the Finite Element Method (FEM), a well-conversant numerical method, used to evaluate approximate solutions of 2D higher-order non-homogeneous Di_usion-Reaction (DR) equation with more accuracy. In this paper, regular and irregular geometrical shapes are available for the FEM and this method is capable to provide more accurate solutions. Our present research also focuses on the acceptance of the FEM by utilizing absolute error analysis. This work includes two examples and their approximate results are portrayed both graphically and in a tabular form which is su_cient to ensure the validity and e_ciency of the FEM.

GANIT J. Bangladesh Math. Soc. 42.2 (2022) 14- 23

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Published

2022-12-31

How to Cite

Lima, S. A., & Khondaker, F. . (2022). A Finite Element Method for Numerical Solution of Parabolic Di usion-Reaction Equation. GANIT: Journal of Bangladesh Mathematical Society, 42(2), 14–23. https://doi.org/10.3329/ganit.v42i2.68018

Issue

Vol. 42 No. 2 (2022)

Section

Articles

License

The copyright of GANIT: Journal of Bangladesh Mathematical Society is reserved by Bangladesh Mathematical Society (web: https://bdmathsociety.org/)