A Taylor collocation method for solving delay integral equations

DOI10.1007/s11075-013-9717-8zbMath1320.65199OpenAlexW2044858201MaRDI QIDQ457045

Azzeddine Bellour, Mahmoud Bousselsal

Publication date: 26 September 2014

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-013-9717-8

zbMATH Keywords

convergencenumerical exampledelay integral equationsexplicit methodsTaylor collocation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Linear integral equations (45A05)

Related Items (15)

Numerical solution of high-order linear Volterra integro-differential equations by using Taylor collocation method ⋮ Splitting extrapolation algorithms for solving linear delay Volterra integral equations with a spatial variable ⋮ A COMPUTATIONAL ALGORITHM FOR THE NUMERICAL SOLUTION OF NONLINEAR FRACTIONAL INTEGRAL EQUATIONS ⋮ Taylor collocation method for a system of nonlinear Volterra delay integro-differential equations with application to COVID-19 epidemic ⋮ Strong convergence of the Euler-Maruyama method for nonlinear stochastic convolution Itô-Volterra integral equations with constant delay ⋮ The numerical solution of a time-delay model of population growth with immigration using Legendre wavelets ⋮ The numerical solution of Volterra integro-differential equations with state-dependent delay ⋮ Taylor collocation method for solving two‐dimensional partial Volterra integro‐differential equations ⋮ The numerical solution of nonlinear delay Volterra integral equations using the thin plate spline collocation method with error analysis ⋮ Generalized Taylor polynomials for axisymmetric plates and shells ⋮ A new Bernoulli wavelet method for accurate solutions of nonlinear fuzzy Hammerstein-Volterra delay integral equations ⋮ Numerical solutions of delay Volterra integral equations using single-term Walsh series approach ⋮ Existence and computational results to Volterra-Fredholm integro-differential equations involving delay term ⋮ Numerical analysis of a high order method for nonlinear delay integral equations ⋮ Numerical solution of two-dimensional linear and nonlinear Volterra integral equations using Taylor collocation method

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• Collocation Methods for Volterra Integral and Related Functional Differential Equations

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