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Numerical studies on a novel split-step quadratic B-spline finite element method for the coupled Schrödinger–KdV equations

✍ Scribed by Dongmei Bai; Luming Zhang


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
751 KB
Volume
16
Category
Article
ISSN
1007-5704

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✦ Synopsis


Initial-boundary value problem Full-discrete scheme a b s t r a c t

We propose a novel split-step quadratic B-spline finite element method for solving the initial-boundary value problem of the coupled Schrödinger-KdV equations. A full-discrete finite element scheme is constructed. The conserved properties of the full-discrete scheme are proved. Detailed numerical results show the efficiency of our scheme.