期刊
APPLIED MATHEMATICAL MODELLING
卷 39, 期 17, 页码 5121-5130出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2015.04.003
关键词
Fractional Sawada-Kotera equation; Chebyshev wavelet method; Homotopy analysis method; Caputo derivative
资金
- DST, Government of India [SR/S4/MS.:722/11]
In this paper, a new method based on the Chebyshev wavelet expansion together with operational matrices of fractional integration and derivative of wavelet functions is proposed to solve time-fractional fifth-order Sawada-Kotera (SK) equation. Two-dimensional Chebyshev wavelet method is applied to compute the numerical solution of nonlinear time-fractional Sawada-Kotera equation. The approximate solutions of nonlinear time fractional Sawada-Kotera equation thus obtained by Chebyshev wavelet method are compared with the exact solutions as well as homotopy analysis method (HAM). The present scheme is very simple, effective and convenient for obtaining numerical solution of fractional Sawada-Kotera equation. (C) 2015 Elsevier Inc. All rights reserved.
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