Variational Iteration Method

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Hilmi Ergören - One of the best experts on this subject based on the ideXlab platform.

  • alternative Variational Iteration Method for solving the time fractional fornberg whitham equation
    Applied Mathematical Modelling, 2015
    Co-Authors: Mehmet Giyas Sakar, Hilmi Ergören
    Abstract:

    Abstract In this study, we apply an alternative Variational Iteration Method to solve the time-fractional Fornberg–Whitham equation. A comparison between the results obtained using the alternative Variational Iteration Method and known results obtained with the Variational Iteration Method demonstrates that the proposed Method is highly effective and convenient. The fractional derivatives are described in the Caputo sense. Numerical results are presented for different specific cases of the problem.

  • Alternative Variational Iteration Method for solving the time-fractional Fornberg–Whitham equation
    Applied Mathematical Modelling, 2015
    Co-Authors: Mehmet Giyas Sakar, Hilmi Ergören
    Abstract:

    Abstract In this study, we apply an alternative Variational Iteration Method to solve the time-fractional Fornberg–Whitham equation. A comparison between the results obtained using the alternative Variational Iteration Method and known results obtained with the Variational Iteration Method demonstrates that the proposed Method is highly effective and convenient. The fractional derivatives are described in the Caputo sense. Numerical results are presented for different specific cases of the problem.

Mehmet Giyas Sakar - One of the best experts on this subject based on the ideXlab platform.

  • alternative Variational Iteration Method for solving the time fractional fornberg whitham equation
    Applied Mathematical Modelling, 2015
    Co-Authors: Mehmet Giyas Sakar, Hilmi Ergören
    Abstract:

    Abstract In this study, we apply an alternative Variational Iteration Method to solve the time-fractional Fornberg–Whitham equation. A comparison between the results obtained using the alternative Variational Iteration Method and known results obtained with the Variational Iteration Method demonstrates that the proposed Method is highly effective and convenient. The fractional derivatives are described in the Caputo sense. Numerical results are presented for different specific cases of the problem.

  • Alternative Variational Iteration Method for solving the time-fractional Fornberg–Whitham equation
    Applied Mathematical Modelling, 2015
    Co-Authors: Mehmet Giyas Sakar, Hilmi Ergören
    Abstract:

    Abstract In this study, we apply an alternative Variational Iteration Method to solve the time-fractional Fornberg–Whitham equation. A comparison between the results obtained using the alternative Variational Iteration Method and known results obtained with the Variational Iteration Method demonstrates that the proposed Method is highly effective and convenient. The fractional derivatives are described in the Caputo sense. Numerical results are presented for different specific cases of the problem.

Dumitru Baleanu - One of the best experts on this subject based on the ideXlab platform.

H. Daniali - One of the best experts on this subject based on the ideXlab platform.

Jafar Biazar - One of the best experts on this subject based on the ideXlab platform.

  • Variational Iteration Method for solving fokker planck equation
    Journal of The Franklin Institute-engineering and Applied Mathematics, 2010
    Co-Authors: Jafar Biazar, P. Gholamin, Kamyar Hosseini
    Abstract:

    In this paper Variational Iteration Method is implemented to solve linear and nonlinear Fokker–Planck equations, and some similar equations. To illustrate the simplicity and reliability of the Method some examples are provided and comparisons are made between the Variational Iteration Method and the Adomian decomposition Method. Comparison shows that Variational Iteration Method is more effective and convenient to use and overcomes the difficulty arising in calculating Adomian polynomials. Also, this Method can successfully be applied to a large class of problems.

  • Variational Iteration Method for solving Fokker–Planck equation
    Journal of the Franklin Institute, 2010
    Co-Authors: Jafar Biazar, P. Gholamin, Kamyar Hosseini
    Abstract:

    In this paper Variational Iteration Method is implemented to solve linear and nonlinear Fokker–Planck equations, and some similar equations. To illustrate the simplicity and reliability of the Method some examples are provided and comparisons are made between the Variational Iteration Method and the Adomian decomposition Method. Comparison shows that Variational Iteration Method is more effective and convenient to use and overcomes the difficulty arising in calculating Adomian polynomials. Also, this Method can successfully be applied to a large class of problems.

  • he s Variational Iteration Method for fourth order parabolic equations
    Computers & Mathematics With Applications, 2007
    Co-Authors: Jafar Biazar, H Ghazvini
    Abstract:

    He's Variational Iteration Method is applied to fourth-order parabolic partial differential equations with variable coefficients. To illustrate the ability and reliability of the Method, some examples are given, revealing its effectiveness and simplicity.