Algorithms for Solving Volterra Integral Equations Using Non-Polynomial Spline Function

This paper discusses some algorithms for solving Volterra's integral equations of the second degree using non-boundary spline functions, including (linear and cubic), as the linear spline function presents some laws and algorithms of its own, as well as the cubic spline function has its laws an...

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Vydané v:Wasit Journal for Pure Sciences Ročník 2; číslo 1; s. 164 - 172
Hlavní autori: Hamza, Issa, Shihab Al-Atabi, Ahmed
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: College of Education for Pure Sciences 26.03.2023
ISSN:2790-5233, 2790-5241
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Shrnutí:This paper discusses some algorithms for solving Volterra's integral equations of the second degree using non-boundary spline functions, including (linear and cubic), as the linear spline function presents some laws and algorithms of its own, as well as the cubic spline function has its laws and algorithm. They are applied and combined in a language program MATLAB R2022a to find the numerical solution for them and the difference between them through the error percentage that appears for each of them. The preview is done through the drawing, as shown in the examples below.
ISSN:2790-5233
2790-5241
DOI:10.31185/wjps.81