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Stability analysis and a numerical scheme for fractional Klein‐Gordon equations
Author(s) -
Khan Hasib,
Khan Aziz,
Chen Wen,
Shah Kamal
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5375
Subject(s) - mathematics , klein–gordon equation , nonlinear system , scheme (mathematics) , fractional calculus , numerical analysis , stability (learning theory) , series (stratigraphy) , order (exchange) , derivative (finance) , mathematical analysis , quantum mechanics , physics , computer science , paleontology , finance , machine learning , economics , biology , financial economics
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.