Chelyshkov collocation method for a class of mixed functional integro-differential equations

Cem Oğuz and Mehmet Sezer

Applied Mathematics and Computation, 2015, vol. 259, issue C, 943-954

Abstract: In this study, a numerical matrix method based on Chelyshkov polynomials is presented to solve the linear functional integro-differential equations with variable coefficients under the initial-boundary conditions. This method transforms the functional equation to a matrix equation by means of collocation points. Also, using the residual function and Mean Value Theorem, an error analysis technique is developed. Some numerical examples are performed to illustrate the accuracy and applicability of the method.

Keywords: Functional integro-differential equations; Chelyshkov polynomials and series; Collocation method; Residual error technique (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:259:y:2015:i:c:p:943-954

DOI: 10.1016/j.amc.2015.03.024

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