2024, Vol. 5, Issue 2, Part A
On the use of implicit method for solving parabolic PDE temperature in a slender road
Author(s): Suryakanta Behera and Dwiti Krushna Behera
Abstract: In this paper, we discuss the “finite difference method” (FDM) to solve temperature distribution with Implicit Method. The temperature distribution in a slender rod of unit length has been described by the one- dimensional heat equation. The finite difference method (FDM) seems to be the simplest approach for the numerical solution of PDEs. The partial-derivatives are replaced by ‘finite difference approximations’ that lead to a system of linear algebraic equations. In the process we introduce important concepts as stability used in analyzing finite difference methods and to show how to solve parabolic equations.
DOI: https://doi.org/10.22271/math.2024.v5.i2a.142
Pages: 08-11 | Views: 109 | Downloads: 44
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How to cite this article:
Suryakanta Behera and Dwiti Krushna Behera. On the use of implicit method for solving parabolic PDE temperature in a slender road. Journal of Mathematical Problems, Equations and Statistics. 2024; 5(2): 08-11. DOI: 10.22271/math.2024.v5.i2a.142
