Spectral collocation methods for nonlinear coupled time fractional Nernst-Planck equations in two dimensions and its convergence analysis

DOI10.1016/j.camwa.2018.12.018zbMath1442.65300OpenAlexW2907147018WikidataQ128675143 ScholiaQ128675143MaRDI QIDQ2203205

Jindi Wang, Wanying Qiao, Yin Yang, Shangyou Zhang

Publication date: 5 October 2020

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.12.018

zbMATH Keywords

convergencespectral collocation methodnonlinear couplingtime fractional Nernst-Planck equation

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

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Two Physics-Based Schwarz Preconditioners for Three-Temperature Radiation Diffusion Equations in High Dimensions ⋮ A Jacobi Collocation Method for the Fractional Ginzburg-Landau Differential Equation ⋮ Algebraic Multigrid Block Triangular Preconditioning for Multidimensional Three-Temperature Radiation Diffusion Equations ⋮ Meshless RBFs method for numerical solutions of two-dimensional high order fractional Sobolev equations ⋮ Unconditionally optimal \(H^1\)-norm error estimates of a fast and linearized Galerkin method for nonlinear subdiffusion equations ⋮ NUMERICAL TREATMENT OF THE SPACE–TIME FRACTAL–FRACTIONAL MODEL OF NONLINEAR ADVECTION–DIFFUSION–REACTION EQUATION THROUGH THE BERNSTEIN POLYNOMIALS

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