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FOURTH ORDER COMPACT METHOD FOR ONE DIMENSIONAL HOMOGENEOUS DAMPED WAVE EQUATION

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Title: FOURTH ORDER COMPACT METHOD FOR ONE DIMENSIONAL HOMOGENEOUS DAMPED WAVE EQUATION

Authors: M. T. Hussain

Journal: Pakistan Journal of Science (PJS)

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Y 1900-01-01 2005-06-30

Publisher: Advance Educational Institute & Research Centre

Country: Pakistan

Year: 2012

Volume: 64

Issue: 2

Language: English

DOI: 10.57041/pjs.v64i2.484

Keywords: Finite Difference MethodFourth Order Compact MethodDamped Wave Equation

Categories
Science (267) Numerical Analysis (431) Differential Equations (206) Engineering Mathematics (8) Mathematics (5170)

Abstract

Finite Difference Method (FDM) and Fourth Order Compact Method (FOCM) are presented in this paper for the solutions of the well known one dimensional Homogeneous Damped Wave Equation. First we develop a general scheme for FDM and FOCM for the Damped Wave Equation and then its validity is checked through applications. The results obtained by the FDM and FOCM are compared with the exact solutions for these applications. Results have obtained numerically and graphically. We use FORTRAN 90 for the calculation of the numerical results and MS Office for graphical comparison.

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