A finite-difference method for solving the cubic Schrödinger equation
A family of finite-difference methods is used to transform the initial/boundary-value problem associated with the nonlinear Schrödinger equation into a first-order, linear, initial-value problem. Numerical methods are developed by replacing the time and space derivatives by central-difference replacements. The resulting finite-difference methods are analysed for local truncation, errors, stability and convergence. The results of a number of numerical experiments are given.
Year of publication: |
1997
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Authors: | Twizell, E.H. ; Bratsos, A.G. ; Newby, J.C. |
Published in: |
Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 43.1997, 1, p. 67-75
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Publisher: |
Elsevier |
Saved in:
Online Resource
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