Split-step cubic B-spline collocation methods for nonlinear Schrödinger equations in one, two, and three dimensions with Neumann boundary conditions

Author:

Wang ShanshanORCID,Zhang Luming

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference26 articles.

1. Fairweather, G., Meade, D.: A survey of spline collocation methods for the numerical solution of differential equations. In: Diaz, J.C. (ed.) Mathematics for Large Scale Computing, Lecture Notes in Pure and Applid Mathematics, vol. 120. Marcel Dekker, New York (1989)

2. Daǧ, İ., Saka, B., Irk, D.: Application of cubic B-splines for numerical solution of the RLW equation. Appl. Math. Comput. 159, 373–389 (2004)

3. Khalifa, A.K., Raslan, K.R., Alzubaidi, H.M.: A collocation method with cubic B-splines for solving the MRLW equation. J. Comput. Appl. Math. 212, 406–418 (2008)

4. Mittal, R.C., Bhatia, R.: Numerical solution of nonlinear system of Klein-Gordon equations by cubic B-spline collocation method. Inter. J. Comput. Math. 92(10), 2139–2159 (2015)

5. Pourgholi, R., Saeedi, A.: Applications of cubic B-splines collocation method for solving nonlinear inverse parabolic partial differential equations. Numer. Methods Partial Diff. Eq. 33, 88–104 (2017)

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