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Numerical Solution of Fractional Benney Equation |
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PP: 1633-1637 |
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Author(s) |
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Mehmet Ali Akinlar,
Aydin Secer,
Aydin Secer,
Mustafa Bayram,
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Abstract |
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| In this paper we propose a new solution technique for numerical solution of fractional Benney equation, a fourth degree
nonlinear fractional partial differential equation with broad range of applications. The method could be described as a hybrid technique
which uses advantages of both wavelets and operational matrices. Having applied the present method, fractional Benney equation is
converted into a matrix equation, which is easy to solve. To the best of our knowledge, the fractional Benney equation has not been
solved with any numerical or analytical method in the literature. Solving this equation numerically and investigating the applicability
of the wavelets on this problem is the main goal of this paper. Haar wavelets and Caputo type fractional derivatives are employed in the
calculations. Computational results point the strength of Haar wavelets and feasibility of the present solution algorithm. |
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