A Taylor polynomial approach for solving high-order linear Fredholm integro-differential equations in the most general form

DOI10.1080/00207160701227848zbMath1118.65129OpenAlexW2160840870MaRDI QIDQ5297943

Ayşegül Akyüz-Daşcıoğlu, Mehmet Sezer

Publication date: 16 July 2007

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160701227848

zbMATH Keywords

numerical examplesTaylor approximationFredholm integro-differential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20)

Related Items (13)

A Taylor polynomial approach for solving the most general linear Fredholm integro-differential-difference equations ⋮ Numerical results for linear Fredholm integral equations of the first kind over surfaces in three dimensions ⋮ Existence results and numerical method for solving a fourth-order nonlinear integro-differential equation ⋮ The numerical method for solving Volterra–Fredholm integro-differential equations of the second kind based on the meshless method ⋮ A Numerical Approach Technique for Solving Generalized Delay Integro-Differential Equations with Functional Bounds by Means of Dickson Polynomials ⋮ Solution of nonlinear Volterra-Fredholm integrodifferential equations via hybrid of block-pulse functions and Lagrange interpolating polynomials ⋮ Unnamed Item ⋮ Numerical solution of delay integro‐differential equations by using Taylor collocation method ⋮ Comparison of Legendre polynomial approximation and variational iteration method for the solutions of general linear Fredholm integro-differential equations ⋮ Legendre polynomial solutions of high-order linear Fredholm integro-differential equations ⋮ Solution of high-order linear Fredholm integro-differential equations with piecewise intervals ⋮ The numerical solution of the non-linear integro-differential equations based on the meshless method ⋮ On solution of Fredholm integrodifferential equations using composite Chebyshev finite difference method

Cites Work

• Unnamed Item
• Taylor polynomial solution of high-order nonlinear Volterra-Fredholm integro-differential equations
• A Taylor Collocation Method for the Solution of Linear Integro-Differential Equations
• Chebyshev polynomial solutions of linear differential equations
• A method for the approximate solution of the second‐order linear differential equations in terms of Taylor polynomials
• Taylor polynomial solutions of Volterra integral equations
• A chebyshev collocation method for the solution of linear integro-differential equations
• The approximate solution of high-order linear Volterra-Fredholm integro-differential equations in terms of Taylor polynomials

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