Fourth Order Compact Finite Difference Method for Solving One Dimensional Wave Equation

Year 2016, Volume: 8 Issue: 4, 30 - 39, 26.12.2016

Gemechis File Duressa , Tesfaye Aga Bullo Gashu Gadisa Kiltu

https://doi.org/10.24107/ijeas.281431

Abstract

This paper
introduces the fourth order compact finite difference method for solving the
numerical solution of one-dimensional wave equations. The convergence of the
method for the problem under consideration had been investigated. To validate
the applicability of the method on the proposed equation, two model examples
have been solved for different values of mesh sizes. The numerical results in
terms of point wise absolute errors presented in tables and graphs show that
the present method approximates the exact solution very well.

Keywords

Wave equation, Compact finite difference method, Consistence

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