Finite difference approach for variable order reaction-subdiffusion equations

DOI10.1186/s13662-018-1862-xzbMath1448.65199OpenAlexW2899673414WikidataQ128983821 ScholiaQ128983821MaRDI QIDQ1715490

Erdal Karapınar

Publication date: 4 February 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1862-x

zbMATH Keywords

numerical examplestability analysisvariable order linear and nonlinear reaction-subdiffusion equationweighted average finite difference approximations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Approximation by other special function classes (41A30)

Related Items (6)

NUMERICAL SIMULATIONS FOR THE VARIABLE ORDER TWO-DIMENSIONAL REACTION SUB-DIFFUSION EQUATION: LINEAR AND NONLINEAR ⋮ AN EFFICIENT APPROACH FOR SOLVING FRACTIONAL VARIABLE ORDER REACTION SUB-DIFFUSION BASED ON HERMITE FORMULA ⋮ Numerical approach for solving the Riccati and logistic equations via QLM-rational Legendre collocation method ⋮ Regularity theory for fractional reaction–subdiffusion equation and application to inverse problem ⋮ Numerical simulation of time variable fractional order mobile-immobile advection-dispersion model based on an efficient hybrid numerical method with stability and convergence analysis ⋮ Existence and regularity in inverse source problem for fractional reaction-subdiffusion equation perturbed by locally Lipschitz sources

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