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International Journal of Engineering Mathematics
Volume 2017 (2017), Article ID 3504962, 9 pages
Research Article

Laplace Transform Collocation Method for Solving Hyperbolic Telegraph Equation

Research Group in Computational Mathematics (RGCM), Department of Mathematics, Obafemi Awolowo University, Ile-Ife 220005, Nigeria

Correspondence should be addressed to Babatunde S. Ogundare

Received 13 July 2016; Revised 11 February 2017; Accepted 28 February 2017; Published 10 April 2017

Academic Editor: Bhabani S. Dandapat

Copyright © 2017 Adebayo O. Adewumi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This article presents a new numerical scheme to approximate the solution of one-dimensional telegraph equations. With the use of Laplace transform technique, a new form of trial function from the original equation is obtained. The unknown coefficients in the trial functions are determined using collocation method. The efficiency of the new scheme is demonstrated with examples and the approximations are in excellent agreement with the analytical solutions. This method produced better approximations than the ones produced with the standard weighted residual methods.