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FOURTH ORDER COMPACT METHOD FOR ONE DIMENSIONAL HOMOGENEOUS TELEGRAPH EQUATION

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Title: FOURTH ORDER COMPACT METHOD FOR ONE DIMENSIONAL HOMOGENEOUS TELEGRAPH EQUATION

Authors: Z. U. A. Zafar

Journal: Pakistan Journal of Science (PJS)

HEC Recognition History
Category From To
Y 2024-10-01 2025-12-31
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2020-07-01 2021-06-30
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.v64i2.470

Keywords: Finite Difference MethodFourth Order Compact MethodTelegraph Equation

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

Abstract

Many boundary value problems that arise in real life situations defy analytical solutions; hence numerical techniques are the best source for finding the solution of such equations. In this paper, a compact method for homogeneous telegraph equation is developed, and comparison of the compact method with the second order scheme is also given. We have obtained results both numerically and graphically. We used FORTRAN 90 for the calculations of the numerical results andMS office for the graphical comparison.

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