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

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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, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:965367
    DOI: 10.1155/2012/965367
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    References listed on IDEAS

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    1. Arikoglu, Aytac & Ozkol, Ibrahim, 2007. "Solution of fractional differential equations by using differential transform method," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1473-1481.
    2. He, Ji-Huan, 2005. "Application of homotopy perturbation method to nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 695-700.
    3. Kangalgil, Figen & Ayaz, Fatma, 2009. "Solitary wave solutions for the KdV and mKdV equations by differential transform method," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 464-472.
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    1. Mubashir Qayyum & Aneeqa Bilal & Omar Khan & Saraswati Acharya, 2025. "Analysis of Fuzzy‐Fractional Fornberg–Whitham Models Using Extended He‐Laplace Methodology," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).

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