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

By Hossein Jafari, Haleh Tajadodi, Dumitru Băleanu. 2012

69 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/f8451827246d3e65538b4ebee9765b144d973864

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In Applied Mathematics

In Modeling and Simulation

In Numerical Analysis

Citations in the corpus

Application of fractional differential equation in economic growth model: A systematic review approach (2021, methodology): “[29] who introduced a modified variational iteration method with Adomian polynomials nonlinear forms to solve the fractional Riccati differential equations.”
A Convergent Algorithm for Solving Higher-Order Nonlinear Fractional Boundary Value Problems (2015, methodology): “These techniques include the Adomian’s decomposition method [33], the homotopy perturbation method [6, 3, 42], the variation iteration method [26], the variational iteration method considering Adomian’s polynomials approximation for nonlinear terms [23], the fractional differential transform method ”