首页|A linearized compact ADI numerical method for the two-dimensional nonlinear delayed Schrodinger equation
A linearized compact ADI numerical method for the two-dimensional nonlinear delayed Schrodinger equation
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NSTL
Elsevier
We develop a linearized compact alternating direction implicit (ADI) numerical method to solve the nonlinear delayed Schrodinger equation in two-dimensional space. By discrete energy estimate method, we analyse the convergence of the fully-discrete numerical method, and show that the numerical scheme is of order O(Delta t(2) + h(4)) with time stepsize Delta t and space stepsize h. At last, we present several numerical examples to confirm theoretical analyses. (C) 2021 Elsevier Inc. All rights reserved.
Nonlinear delayed Schrodinger equationCompact ADI numerical methodConvergenceStabilityDISCONTINUOUS GALERKIN METHODSABSORBING BOUNDARY-CONDITIONSSMALL TIME DELAYSDIFFERENCE-SCHEMESENERGYSTABILIZATIONSTABILITY
NSTL
Elsevier
