Split-step Cubic B-splines Collocation Methods for Nonlinear Schrödinger Equations with Periodic Boundary Conditions
Abstract
In this paper, we construct a new method for the nonlinear Schrödinger equation by combining the split-step technique with the cubic B-splines collocation (3BC) method. Numerical experiments are carried out to check the numerical performance of the proposed split-step 3BC methods for both one-dimensional (1D) and two-dimensional (2D) problems. The numerical tests are verified that the present methods are convergent with second-order both in space and time which agree with predict. Numerical results confirm that the proposed split-step 3BC methods are reliable and efficient.
Keywords
Split step, Cubic B-splines, Periodic boundary conditions
DOI
10.12783/dtetr/amsm2017/14840
10.12783/dtetr/amsm2017/14840
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