Engineering Transactions, 67, 1, pp. 21–34, 2019
10.24423/EngTrans.910.20190214

### A Reliable Numerical Algorithm for the Fractional Klein-Gordon Equation

Harendra SINGH
School of Mathematical Sciences, National Institute of Science Education and Research(NISER)
India

Devendra KUMAR
JECRC University
India

Jagdev SINGH
JECRC University
India

C.S. SINGH
Department of Mathematics, Rajkiya Engineering College
India

The key purpose of the present work is to introduce a numerical algorithm for the solution of the fractional Klein-Gordon equation (FKGE). The numerical algorithm is based on the applications of the operational matrices of the Legendre scaling functions. The main advantage of the numerical algorithm is that it reduces the FKGE into Sylvester form of algebraic equations
which significantly simplify the problem. Numerical results derived by using suggested numerical scheme are compared with the exact solution. The results show that the suggested algorithm is very user friendly for solving FKGE and accurate.
Keywords: fractional Klein-Gordon equation; Legendre scaling functions; operational matrices
Full Text: PDF Copyright © The Author(s). This is an open-access article distributed under the terms of the Creative Commons Attribution-ShareAlike 4.0 International (CC BY-SA 4.0).

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DOI: 10.24423/EngTrans.910.20190214