Article ID Journal Published Year Pages File Type
4626878 Applied Mathematics and Computation 2015 12 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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