Direct numerical methods for first-order fredholm integro-differential equations

DOI10.1080/00207169008803880zbMath0703.65094OpenAlexW2049722971MaRDI QIDQ3482809

C. J. Gladwin, L. E. Garey

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/00207169008803880

zbMATH Keywords

stabilitylinear multistep methodsglobal discretization errorlinear first-order Fredholm integro-differential equationsNewton-Gregory quadrature formulas

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Related Items (8)

Existence of solutions for some classes of integro-differential equations in the Sobolev space \(W^{n,p}(\mathbb {R}_+)\) ⋮ Unconditionally stable methods for second-order Fredholm integro-differential equations ⋮ Measure of noncompactness on weighted Sobolev space with an application to some nonlinear convolution type integral equations ⋮ Existence of solutions for a class of Fredholm integral-differential equations via measure of noncompactness ⋮ The numerical solution of first order delay integro-differential equations by spline functions ⋮ Spline approximation for second order fredholm integro-differential equations ⋮ Construction of a measure of noncompactness in Sobolev spaces with an application to functional integral-differential equations ⋮ Spline approximation for first Order fredholm delay integro-differential equations

Cites Work

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• Stabilization of optimal difference operators
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• Discretization Methods and Block Isoclinal Matrices
• The Construction of Reducible Quadrature Rules for Volterra Integral and Integro-differential Equations
• Linear Multistep Methods for Volterra Integro-Differential Equations
• Analysis of numerical iterative methods for solving integral and integrodifferential equations
• A Method for the Approximate Solution of Linear Integro-Differential Equations
• On the numerical solution of nonlinear Volterra integro-differential equations

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