[PDF][PDF] Numerical solution of Hirota-Satsuma coupled mKdV equation with quantic B-spline collocation method
M Garshasbi, F Momeni - Journal of Computer Science & Computational …, 2011 - jcscm.net
M Garshasbi, F Momeni
Journal of Computer Science & Computational Mathematics, 2011•jcscm.net… In this paper, we consider a generalized Hirota-Satsuma coupled MKdV equations which
were introduced by Wu et al. In [1], the authors introduced a 44 × matrix spectral problem with
three potentials and proposed a corresponding hierarchy of nonlinear … [5], variational iteration
method by He and Wu [6], Adomian decomposition method by Kaya [7] and homotopy
perturbation method by Ganji and Rafei [8]. The aim of this study is to establish the finite element
B-spline collocation method for solving MKdV equation. The outline of this work is as follows …
were introduced by Wu et al. In [1], the authors introduced a 44 × matrix spectral problem with
three potentials and proposed a corresponding hierarchy of nonlinear … [5], variational iteration
method by He and Wu [6], Adomian decomposition method by Kaya [7] and homotopy
perturbation method by Ganji and Rafei [8]. The aim of this study is to establish the finite element
B-spline collocation method for solving MKdV equation. The outline of this work is as follows …
Abstract
Collocation method using quintic B-splines finite element have been developed for solving numerically the Hirota-Satsuma coupled MKdV equation. Accuracy of the proposed method is shown numerically by calculating conservation laws,
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