Operational tau method for singular system of Volterra integro-differential equations

DOI10.1016/J.CAM.2016.07.017zbMath1352.65655OpenAlexW2494851386MaRDI QIDQ730537

S. Pishbin

Publication date: 28 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.cam.2016.07.017

zbMATH Keywords

error analysis\(\upsilon\)-smoothing Volterra operatorLegendre spectral tau methodssingular system of Volterra integro-differential equations

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20)

Related Items (13)

Solving integral-algebraic equations with non-vanishing delays by Legendre polynomials ⋮ Free response of a continuous vibrational system with attachments and/or discontinuities using segmented operational Tau method ⋮ An error estimation of a Nyström type method for integral-algebraic equations of index-1 ⋮ A numerical algorithm for solving index-1 weakly singular integral-algebraic equations with non-smooth solutions ⋮ Numerical implementation of nonlinear system of fractional Volterra integral–differential equations by Legendre wavelet method and error estimation ⋮ On solving systems of multi-pantograph equations via spectral tau method ⋮ On a mixed Galerkin method for semi-explicit index-1 integro-differential algebraic equations ⋮ On solving fractional logistic population models with applications ⋮ Convergence analysis of the product integration method for solving the fourth kind integral equations with weakly singular kernels ⋮ Unnamed Item ⋮ An efficient and stable Lagrangian matrix approach to Abel integral and integro-differential equations ⋮ On the numerical solution of a class of linear fractional integro-differential algebraic equations with weakly singular kernels ⋮ Multistep collocation methods for integral-algebraic equations with non-vanishing delays

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