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Numerical study of fractional model of multi-dimensional dispersive partial differential equation

Journal of Ocean Engineering and Science 2019年第4期4卷 338-351页

作者： Vijay Verma Amit Prakash Devendra Kumar Jagdev Singh Department of Mathematics Pt.C.L.S.Govt.(PG)CollegeKarnalHaryanaIndia Department of Mathematics National Institute of TechnologyKurukshetra 136119India Department of Mathematics University of RajasthanJaipur 302004RajasthanIndia Department of Mathematics JECRC UniversityJaipur 303905RajasthanIndia

This article is devoted to a newly introduced numerical method for time-fractional dispersive partial differential equation in a multidimensional space.The time-fractional dispersive partial differential equation plays a great role in solving the problems arising in ocean science and engineering.The numerical technique comprises of Sumudu transform,homotopy perturbation scheme and He’s polynomial,namely homotopy perturbation Sumudu transform method(HPSTM)is efficiently used to examine time-fractional dispersive partial differential equation of third order in multi-dimensional space.The approximate analytic solution of the time-fractional dispersive partial differential equation of third-order in multi-dimensional space obtained by HPSTM is compared with exact solution as well as the solution obtained by using Adomain decomposition method.The results derived with the aid of two techniques are in a good agreement and consequently these techniques may be considered as an alternative and efficient approach for solving fractional partial differential equations.Several test problems are experimented to confirm the accuracy and efficiency of the proposed methods.

关键词： Homotopy perturbation method Fractional trigonometric function He’s polynomials Adomian decomposition method Sumudu transform

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