THE LUCAS POLYNOMIAL SOLUTION OF LINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS

Deniz Elmaci (), Nurcan Baykus and Savasaneril
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Deniz Elmaci: Dokuz Eylul University, Bergama Vocational School, Izmir, Turkey
Nurcan Baykus: Dokuz Eylul University, Bergama Vocational School, Izmir, Turkey.
Savasaneril: Dokuz Eylul University, Izmir Vocational School, Izmir, Turkey

Matrix Science Mathematic (MSMK), 2022, vol. 6, issue 1, 21-25

Abstract: In this study, linear Volterra-Fredholm integral equations are approximatively solved in terms of Lucas polynomials about any point in this study using a practical matrix approach. This technique uses collocation points and Lucas polynomials to transform the aforementioned linear Volterra-Fredholm integral problem into a matrix equation. Lucas coefficients are unknown in the system of linear algebraic equations. With the use of an error estimation, some illustrated examples are also provided. The outcomes demonstrate how effective and practical the suggested methodology is. Code was created in MATLAB to acquire the matrix equations and answers for the chosen issues.

Keywords: Lucas Polynomials; Volterra and Fredholm Integral Equations; Collocation Method. (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:zib:zbmsmk:v:6:y:2022:i:1:p:21-25

DOI: 10.26480/msmk.01.2022.21.25

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