Integral equations with a delay

Burton, T. A.

doi:10.1007/bf00050686

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The Solution Of Linear Iemtl Using Galerkin's Methods1

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Cited by 2 publications

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“…When algorithms (IEMTL-CM, IEMTL-PM and IEMTL-GM ) are applied, table (2) presents the comparison between the exact and collocation, partition and Galerkin methods with the aid of basis functions containing (B-spline, Laguerre and Hermite) functions, for eq. (30) depending on least square error (L.S.E.)…”

Section: The Solution Of Linear Iemtl Using Galerkin's Methodsmentioning

confidence: 99%

Expansion Methods for Solving Linear Integral Equations with Multiple Time Lags Using B-Spline and Orthogonal Functions

Jawad Kadhim

2011

ETJ

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The main portion of the paper is devoted for constructing approximated solutions of linear integral equations with multiple time lags (IEMTL) using two different types of basis functions B-spline functions and Orthogonal functions containing (Laguerre and Hermite) with the aid of expansion methods (collocation method, Partition method and Galerkin's method). Algorithms with the aid of Matlab language are derived for treating these equations using expansion methods. Comparison between the exact and approximated results of these methods with the aid of basis functions are given via two test examples and accurate results are achieved.

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Section: The Solution Of Linear Iemtl Using Galerkin's Methodsmentioning

confidence: 99%

Expansion Methods for Solving Linear Integral Equations with Multiple Time Lags Using B-Spline and Orthogonal Functions

Jawad Kadhim

2011

ETJ

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“…Table (2) presents the comparison between the exact and approximated solution by using homotopy perturbation method for N=15 with least square error (L.S.E). Figure (2) shows the approximated solution by using homotopy perturbation method and the exact solution.…”

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confidence: 99%