STABILITY ANALYSIS OF FINITE DIFFERENCE METHOD FOR ONE WAY WAVE EQUATION

KEDIR NEBI HABIB *

Department of Mathematics, College of Natural Science, Arba Minch University, Arba Minch, Ethiopia.

*Author to whom correspondence should be addressed.


Abstract

There are many problems in the field of science, engineering and technology which can be solved by differential equations formulation. In this paper we consider the convergence of finite difference method Lax -Wondroff one step, Lax- Wondroff two step methods and Backward time central space for solving one dimensional, time-dependent hyperbolic equation with Drichlet boundary condition. We present the derivation of the schemes and develop a computer program using python software to implement it. By the support of the numerical problems convergence of the schemes have been determined. The explicit scheme is convergent and conditionally stable and implicit scheme is convergent and unconditionally stable for any value of growth factor G .

Keywords: Convection equation, finite difference methods, stability, convergence


How to Cite

HABIB, K. N. (2022). STABILITY ANALYSIS OF FINITE DIFFERENCE METHOD FOR ONE WAY WAVE EQUATION. Asian Journal of Mathematics and Computer Research, 29(3), 50–63. https://doi.org/10.56557/ajomcor/2022/v29i37974

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