Year: 2021
Author: Xuhong Yu, Lusha Jin, Zhongqing Wang
Journal of Computational Mathematics, Vol. 39 (2021), Iss. 1 : pp. 43–62
Abstract
Efficient and accurate Chebyshev dual-Petrov-Galerkin methods for solving first-order equation, third-order equation, third-order KdV equation and fifth-order Kawahara equation are proposed. Some Sobolev bi-orthogonal basis functions are constructed which lead to the diagonalization of discrete systems. Accordingly, both the exact solutions and the approximate solutions are expanded as an infinite and truncated Fourier-like series, respectively. Numerical experiments illustrate the effectiveness of the suggested approaches.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1907-m2018-0285
Journal of Computational Mathematics, Vol. 39 (2021), Iss. 1 : pp. 43–62
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Chebyshev dual-Petrov-Galerkin method Sobolev bi-orthogonal polynomials odd-order differential equations Numerical results.