An L1 Legendre-Galerkin spectral method with fast algorithm for the two-dimensional nonlinear coupled time fractional Schrödinger equation and its parameter estimation

DOI10.1016/j.camwa.2020.11.016OpenAlexW3111706415MaRDI QIDQ2226767

Hui Zhang, Junqing Jia, Xiao-yun Jiang

Publication date: 9 February 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.11.016

zbMATH Keywords

parameter estimationfast algorithmoptimal error estimateL1 Legendre-Galerkin spectral methodtwo-dimensional nonlinear coupled time fractional Schrödinger equations

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Related Items (3)

Spectral approximation for nonlinear time fractional Schrödinger equation on graded meshes ⋮ On high order numerical schemes for fractional differential equations by block-by-block approach ⋮ Numerical calculation and fast method for the magnetohydrodynamic flow and heat transfer of fractional Jeffrey fluid on a two-dimensional irregular convex domain

Uses Software

• FODE

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