A Taylor collocation method for the approximate solution of general linear Fredholm-Volterra integro-difference equations with mixed argument

DOI10.1016/j.amc.2005.07.038zbMath1088.65123OpenAlexW2034687408MaRDI QIDQ2369194

Mehmet Sezer, Salih Fuat Yalçinbaş

Publication date: 28 April 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2005.07.038

zbMATH Keywords

Taylor collocation methodhigh-order linear Fredholm-Volterra integro-difference equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Volterra integral equations (45D05)

Related Items (17)

Legendre-Galerkin method for the linear Fredholm integro-differential equations ⋮ Solving multipoint problems with linear Volterra-Fredholm integro-differential equations of the neutral type using Bernstein polynomials method ⋮ Perturbed Galerkin method for solving integro-differential equations ⋮ Approximate solution of perturbed Volterra-Fredholm integrodifferential equations by Chebyshev-Galerkin method ⋮ The backward substitution method for multipoint problems with linear Volterra-Fredholm integro-differential equations of the neutral type ⋮ Application of Bernstein polynomials for solving Fredholm integro-differential-difference equations ⋮ Unnamed Item ⋮ Variational iterative method: an appropriate numerical scheme for solving system of linear Volterra fuzzy integro-differential equations ⋮ A new wavelet method for solving a class of nonlinear Volterra-Fredholm integral equations ⋮ A generalized Taylor method of order three for the solution of initial value problems in standard and infinity floating-point arithmetic ⋮ Application of Fibonacci collocation method for solving Volterra-Fredholm integral equations ⋮ Generalized Taylor polynomials for axisymmetric plates and shells ⋮ A numerical approach with error estimation to solve general integro-differential-difference equations using Dickson polynomials ⋮ Taylor collocation method and convergence analysis for the Volterra-Fredholm integral equations ⋮ A new method for the solution of Volterra-Fredholm integro-differential equations ⋮ A collocation approach for the numerical solution of certain linear retarded and advanced integrodifferential equations with linear functional arguments ⋮ A Hermite collocation method for the approximate solutions of high-order linear Fredholm integro-differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• A new polynomial approach for solving difference and Fredholm integro-difference equations with mixed argument
• Chebyshev polynomial solutions of systems of high-order linear differential equations with variable coefficients
• The approximate solution of high-order linear difference equations with variable coefficients in terms of Taylor polynomials
• A Taylor Collocation Method for the Solution of Linear Integro-Differential Equations
• A chebyshev collocation method for the solution of linear integro-differential equations
• Taylor polynomial solutions of systems of linear differential equations with variable coefficients

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