A Method for the Approximate Solution of Linear Integro-Differential Equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1974 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Numerical Analysis, volume 11, pages 137-144 (issn: 0036-1429, eissn: 1095-7170,

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Authors: Linz, Peter;

doi: 10.1137/0711014

A Method for the Approximate Solution of Linear Integro-Differential Equations

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Abstract

Approximate methods for solving a class of linear integro-differential equations of the Fredholm type are discussed. The integro-differential equations are reduced to Fredholm integral equations and Nystrom’s method is used to establish numerical procedures. A convergence theorem is given for a simple integro-differential equation. Extensions of the method to more complicated cases are indicated.

Keywords

Integro-partial differential equations, Numerical methods for integral equations

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