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Fourth order compact method for one dimensional homogeneous damped wave equation.

Author(s)
M. T. Hussain Department of Mathematics, University of Engineering & Technology Lahore, Pakistan
A. Pervaiz Department of Mathematics, University of Engineering & Technology Lahore, Pakistan
Z. U. A. Zafar Department of Mathematics, University of Engineering & Technology Lahore, Pakistan
M. O. Ahmad Department of Mathematics, University of Engineering & Technology Lahore, Pakistan
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.
Publication Details
Page(s) 122-126
DOI DOI not available
Published Journal: Pakistan Journal of Science, Volume: 64, Issue: 2, Year: 2012

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