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Fibonacci collocation method with a residual error Function to solve linear Volterra integro differential equations

Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.4, No. 1)

Publication Date:

Authors : ;

Page : 1-14

Keywords : Volterra integral and integro-differential equations Fibonacci polynomials residual error analysis collocation points matrix method.;

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Abstract

In this paper, a new collocation method based on the Fibonacci polynomials is introduced to solve the high-order linear Volterra integro-differential equations under the conditions. Numerical examples are included to demonstrate the applicability and validity of the proposed method and comparisons are made with the existing results. In addition, an error estimation based on the residual functions is presented for this method. The approximate solutions are improved by using this error estimation.

Last modified: 2016-10-30 05:08:39