A finite-difference method for solving the cubic Schrödinger equation

E.H. Twizell, A.G. Bratsos and J.C. Newby

Mathematics and Computers in Simulation (MATCOM), 1997, vol. 43, issue 1, 67-75

Abstract: 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.

Date: 1997
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:43:y:1997:i:1:p:67-75

DOI: 10.1016/S0378-4754(96)00056-0

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