An efficient nonpolynomial spline method for distributed order fractional subdiffusion equations

DOI10.1002/mma.4938zbMath1402.65097OpenAlexW2801041414WikidataQ58867187 ScholiaQ58867187MaRDI QIDQ4581115

Xuhao Li, Patricia J. Y. Wong

Publication date: 23 August 2018

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4938

zbMATH Keywords

numerical schemefractional differential equationdistributed ordersubdiffusion equationnonpolynomial spline

Mathematics Subject Classification ID

Numerical computation using splines (65D07) 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) Fractional partial differential equations (35R11)

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Quintic non-polynomial spline for time-fractional nonlinear Schrödinger equation ⋮ Generalized Alikhanov's approximation and numerical treatment of generalized fractional sub-diffusion equations ⋮ Non-polynomial quintic spline for numerical solution of fourth-order time fractional partial differential equations ⋮ A new approximation for the generalized fractional derivative and its application to generalized fractional diffusion equation ⋮ Exponential spline for the numerical solutions of linear Fredholm integro-differential equations ⋮ A preconditioned fast quadratic spline collocation method for two-sided space-fractional partial differential equations

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