IJPAM: Volume 107, No. 2 (2016)

ON APPROXIMATE AND CLOSED-FORM SOLUTION
METHOD FOR INITIAL-VALUE WAVE-LIKE MODELS

G.O. Akinlabi$^1$, S.O. Edeki$^2$
$^{1,2}$Department of Mathematics
Covenant University
Canaanland, Otta, NIGERIA


Abstract. This work presents a proposed Modified Differential Transform Method (MDTM) for obtaining both closed-form and approximate solutions of initial-value wave-like models with variable, and constant coefficients. Our results when compared with the exact solutions of the associated solved problems, show that the method is simple, effective and reliable. The results are very much in line with their exact forms. The method involves less computational work without neglecting accuracy. We recommend this simple proposed technique for solving both linear and nonlinear partial differential equations (PDEs) in other aspects of pure and applied sciences.

Received: February 3, 2016

AMS Subject Classification: 35C05, 35C07, 74H10, 76D33

Key Words and Phrases: closed form solution, modified DTM, wave-like equations

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DOI: 10.12732/ijpam.v107i2.14 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 107
Issue: 2
Pages: 449 - 456


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