A hybrid method based on the Chebyshev cardinal functions/wavelets for time fractional coupled Klein–Gordon–Schrödinger equations

Abstract

In this paper, the Chebyshev cardinal functions together with the extended Chebyshev cardinal wavelets are mutually utilized to generate a computational method for solving time fractional coupled Klein–Gordon–Schrödinger equations. By employing the cardinality of these basis functions, the nonlinear terms in the system under investigation are easily computed. This significantly reduces the difficulties and voluminous computational works. This approach does not need linearization, discretization and transformation techniques for obtaining a solution for the problem. The efficiency and accuracy of this approach are investigated in some numerical examples.