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Numerical Simulation of Fractional Fornberg‐Whitham Equation by Differential Transformation Method
Author(s) -
Mehmet Merdan,
Ahmet Gökdoğan,
Ahmet Yıldırım,
Syed Tauseef MohyudDin
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/965367
Subject(s) - mathematics , transformation (genetics) , series (stratigraphy) , mathematical analysis , nonlinear system , partial differential equation , differential equation , paleontology , biochemistry , chemistry , physics , quantum mechanics , gene , biology
An approximate analytical solution of fractional Fornberg-Whitham equation was obtained with the help of the two-dimensional differential transformation method (DTM). It is indicated that the solutions obtained by the two-dimensional DTM are reliable and present an effective method for strongly nonlinear partial equations. Exact solutions can also be obtained from the known forms of the series solutions.

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