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A modified variational iteration method for solving fractional Riccati differential equation by Adomian polynomials

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Abstract

In this paper, we introduce a modified variational iteration method (MVIM) for solving Riccati differential equations. Also the fractional Riccati differential equation is solved by variational iteration method with considering Adomians polynomials for nonlinear terms. The main advantage of the MVIM is that it can enlarge the convergence region of iterative approximate solutions. Hence, the solutions obtained using the MVIM give good approximations for a larger interval. The numerical results show that the method is simple and effective.

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Authors and Affiliations

  1. Department of Mathematics, University of Mazandaran, Babolsar, Iran

    Hossein Jafari & Hale Tajadodi

  2. Dept. of Chemical and Materials Engineering, Fac. of Engineering, King Abdulaziz University, Riyadh, Saudi Arabia

    Dumitru Baleanu

  3. Institute of Space Sciences, Magurele-Bucharest, Romania

    Dumitru Baleanu

  4. Dept. of Mathematics and Computer Sciences, Cankaya University, 06530, Ankara, Turkey

    Dumitru Baleanu

Authors
  1. Hossein Jafari
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  2. Hale Tajadodi
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  3. Dumitru Baleanu
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Correspondence to Hossein Jafari.

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Jafari, H., Tajadodi, H. & Baleanu, D. A modified variational iteration method for solving fractional Riccati differential equation by Adomian polynomials. fcaa 16, 109–122 (2013). https://doi.org/10.2478/s13540-013-0008-9

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  • DOI: https://doi.org/10.2478/s13540-013-0008-9

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