A new tau-collocation method with fractional basis for solving weakly singular delay Volterra integro-differential equations

DOI10.1007/s12190-021-01626-6zbMath1502.65270OpenAlexW3199865849WikidataQ115377124 ScholiaQ115377124MaRDI QIDQ2089196

G. Azizipour, Sedaghat Shahmorad

Publication date: 6 October 2022

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

Full work available at URL: https://doi.org/10.1007/s12190-021-01626-6

zbMATH Keywords

tau-collocation methodfractional Müntz-Jacobi polynomialsweakly singular delay Volterra integro-differential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Volterra integral equations (45D05) Numerical methods for functional-differential equations (65L03)

Related Items (3)

Numerical solution of fractional order Fredholm integro-differential equations by spectral method with fractional basis functions ⋮ An efficient spectral method for solving third-kind Volterra integral equations with non-smooth solutions ⋮ A convergent hybrid numerical scheme for a class of nonlinear diffusion equations

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