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Fractional variational iteration method versus Adomian’s decomposition method in some fractional partial differential equations. (English) Zbl 1266.35141
Summary: A comparative study is presented about the Adomian’s decomposition method (ADM), variational iteration method (VIM), and fractional variational iteration method (FVIM) in dealing with fractional partial differential equations (FPDEs). The study outlines the significant features of the ADM and FVIM methods. It is found that FVIM is identical to ADM in certain scenarios. Numerical results from three examples demonstrate that FVIM has similar efficiency, convenience, and accuracy like ADM. Moreover, the approximate series are also part of the exact solution while not requiring the evaluation of the Adomian’s polynomials.

35R11Fractional partial differential equations
35A15Variational methods (PDE)
Full Text: DOI
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