MAMADU-NJOSEH SPECTRAL COLLOCATION METHOD FOR FRACTIONAL KLEIN-GORDON EQUATION

Abstract

This study considered the spectral collocation method for solving the fractional Klein-Gordon Equation (FKGE) (Caputo-sense) with the aid of Mamadu-Njoseh polynomials. The main characteristic is to convert the given problem into a system of algebraic equations which can be solved easily with any of the usual methods. To show the accuracy and efficiency of the method, a benchmark problem is implemented with different values of alpha at different time t and the results obtained were compared with that obtained from the Variational Iteration method (VIM) existing in the literature. The results of numerical tests confirm that the spectral collocation method is superior to the Variational iteration method and is highly accurate. All computational frameworks of this research were implemented with the aid of MAPLE 18