Hybrid Euler–Taylor matrix method for solving of generalized linear Fredholm integro-differential difference equations

Mehmet Ali Balcı and Mehmet Sezer

Applied Mathematics and Computation, 2016, vol. 273, issue C, 33-41

Abstract: The main purpose of this paper is to present a numerical method to solve the linear Fredholm integro-differential difference equations with constant argument under initial-boundary conditions. The proposed method is based on the Euler polynomials and collocation points and reduces the integro-differential difference equation to a system of algebraic equations. For the given method, we develop the error analysis related with residual function. Also, we present illustrative examples to demonstrate the validity and applicability of the technique.

Keywords: Matrix method; Euler polynomials; Integro-differential-difference equations; Collocation points; Residual error analysis (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:273:y:2016:i:c:p:33-41

DOI: 10.1016/j.amc.2015.09.085

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