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In this paper, a recent analytic iterative technique, named as residual power series method is implemented to find the approximate solution of the nonlinear time-space-fractional Benney-Lin equation. The convergence analysis… Click to show full abstract
In this paper, a recent analytic iterative technique, named as residual power series method is implemented to find the approximate solution of the nonlinear time-space-fractional Benney-Lin equation. The convergence analysis of the proposed scheme is also discussed. To test the validity, potentiality, and practical usefulness of the proposed method in solving such a complicated equation, several numerical examples with various initial conditions are considered. The analysis of the obtained approximate solution results reveal that the proposed method is a significant addition for exploring nonlinear fractional models in fractional theory and its computations.
Journal Title: Journal of Applied Mathematics and Computing
Year Published: 2017
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