Solving boundary value problems, integral, and integro-differential equations using Gegenbauer integration matrices

DOI10.1016/j.cam.2012.05.024zbMath1259.65212OpenAlexW2031205500WikidataQ62033369 ScholiaQ62033369MaRDI QIDQ455856

Kate A. Smith-Miles, Kareem T. Elgindy

Publication date: 22 October 2012

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

Full work available at URL: https://doi.org/10.1016/j.cam.2012.05.024

zbMATH Keywords

algorithmconvergenceintegro-differential equationsnumerical exampleserror boundGegenbauer polynomialsspectral methodscollocation pointsGegenbauer integration matrixlinear two-point boundary value problemsGegenbauer integration methodGegenbauer-Gauss pointslinear Fredholm integral equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Fredholm integral equations (45B05) Linear boundary value problems for ordinary differential equations (34B05) Linear integral equations (45A05)

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Uses Software

• Matlab
• chebop

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