Non-polynomial spline approach in two-dimensional fractional sub-diffusion problems

DOI10.1016/j.amc.2019.03.045zbMath1429.65250OpenAlexW2938060868WikidataQ128067866 ScholiaQ128067866MaRDI QIDQ2009589

Xuhao Li, Patricia J. Y. Wong

Publication date: 29 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2019.03.045

zbMATH Keywords

numerical solutiontwo-dimensionalfractional differential equationsub-diffusion equationnon-polynomial spline

Mathematics Subject Classification ID

Numerical computation using splines (65D07) 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)

Related Items (6)

Generalized Alikhanov's approximation and numerical treatment of generalized fractional sub-diffusion equations ⋮ A new approximation for the generalized fractional derivative and its application to generalized fractional diffusion equation ⋮ High‐order schemes and their error analysis for generalized variable coefficients fractional reaction–diffusion equations ⋮ A collocation method for time‐fractional diffusion equation on a metric star graph with η$$ \eta $$ edges ⋮ A gWSGL numerical scheme for generalized fractional sub-diffusion problems ⋮ A Legendre wavelet collocation method for 1D and 2D coupled time-fractional nonlinear diffusion system

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