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New Iterative Method: An Application for Solving Fractional Physical Differential Equations

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  • A. A. Hemeda

Abstract

The new iterative method with a powerful algorithm is developed for the solution of linear and nonlinear ordinary and partial differential equations of fractional order as well. The analysis is accompanied by numerical examples where this method, in solving them, is used without linearization or small perturbation which con firm the power, accuracy, and simplicity of the given method compared with some of the other methods.

Suggested Citation

  • A. A. Hemeda, 2013. "New Iterative Method: An Application for Solving Fractional Physical Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:617010
    DOI: 10.1155/2013/617010
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    References listed on IDEAS

    as
    1. Sachin Bhalekar & Varsha Daftardar-Gejji, 2011. "Convergence of the New Iterative Method," International Journal of Differential Equations, Hindawi, vol. 2011, pages 1-10, November.
    2. S. Saha Ray & R. K. Bera, 2004. "Solution of an extraordinary differential equation by Adomian decomposition method," Journal of Applied Mathematics, Hindawi, vol. 2004, pages 1-8, January.
    3. A. A. Hemeda, 2012. "Formulation and Solution of nth‐Order Derivative Fuzzy Integrodifferential Equation Using New Iterative Method with a Reliable Algorithm," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    4. S. Saha Ray & R. K. Bera, 2004. "Solution of an extraordinary differential equation by Adomian decomposition method," Journal of Applied Mathematics, John Wiley & Sons, vol. 2004(4), pages 331-338.
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    Cited by:

    1. Indranil Ghosh & M. S. H. Chowdhury & Suazlan Mt Aznam & M. M. Rashid, 2021. "Measuring the Pollutants in a System of Three Interconnecting Lakes by the Semianalytical Method," Journal of Applied Mathematics, Hindawi, vol. 2021, pages 1-16, June.
    2. A. A. Hemeda, 2013. "Solution of Fractional Partial Differential Equations in Fluid Mechanics by Extension of Some Iterative Method," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    3. D. Baleanu & A. H. Bhrawy & T. M. Taha, 2013. "Two Efficient Generalized Laguerre Spectral Algorithms for Fractional Initial Value Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    4. A. A. Hemeda & E. E. Eladdad, 2016. "Iterative Methods for Solving the Fractional Form of Unsteady Axisymmetric Squeezing Fluid Flow with Slip and No‐Slip Boundaries," Advances in Mathematical Physics, John Wiley & Sons, vol. 2016(1).

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