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Stability analysis and a numerical scheme for fractional Klein‐Gordon equations
Authors:Hasib Khan  Aziz Khan  Wen Chen  Kamal Shah
Abstract:Fractional order nonlinear Klein‐Gordon equations (KGEs) have been widely studied in the fields like; nonlinear optics, solid state physics, and quantum field theory. In this article, with help of the Sumudu decomposition method (SDM), a numerical scheme is developed for the solution of fractional order nonlinear KGEs involving the Caputo's fractional derivative. The coupled method provides us very efficient numerical scheme in terms of convergent series. The iterative scheme is applied to illustrative examples for the demonstration and applications.
Keywords:Adomian decomposition  Caputo's fractional derivative  Klein‐Gordon equation  Sumudu transform
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