Numerical study of Schrödinger equation using differential quadrature method

DOI10.1007/s40819-017-0470-xzbMath1380.65217OpenAlexW2771474984WikidataQ115372464 ScholiaQ115372464MaRDI QIDQ1688796

Rachna Bhatia, Ramesh Chand Mittal

Publication date: 11 January 2018

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-017-0470-x

zbMATH Keywords

stabilitysolitary wavesnonlinear Schrödinger equationsemidiscretizationRunge-Kutta schemedifferential quadratureinteraction of solitonsquintic B-spline basis functions

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Soliton equations (35Q51) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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