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Numerical Simulation of Fractional Fornberg-Whitham Equation by Differential Transformation Method

Author

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  • Mehmet Merdan
  • Ahmet Gökdoğan
  • Ahmet Yıldırım
  • Syed Tauseef Mohyud-Din

Abstract

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.

Suggested Citation

  • Mehmet Merdan & Ahmet Gökdoğan & Ahmet Yıldırım & Syed Tauseef Mohyud-Din, 2012. "Numerical Simulation of Fractional Fornberg-Whitham Equation by Differential Transformation Method," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-8, February.
    • Handle: RePEc:hin:jnlaaa:965367
    DOI: 10.1155/2012/965367
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    Cited by:

    1. Nehad Ali Shah & Ioannis Dassios & Essam R. El-Zahar & Jae Dong Chung & Somaye Taherifar, 2021. "The Variational Iteration Transform Method for Solving the Time-Fractional Fornberg–Whitham Equation and Comparison with Decomposition Transform Method," Mathematics, MDPI, vol. 9(2), pages 1-14, January.

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