Formosa Journal of Applied Sciences (FJAS)
Vol. 2 No. 5 (2023): May, 2023

Numerical solution of a Volterra integral equation

Ahmed Abdulkareem Hadi (Mathematics Science, Ministry of Education, Directorate of Education Baghdad Al-Rusafa)

Article Info

Publish Date
31 May 2023

Abstract

This work deals with a generalized nonlinear Volterra integral equation of the second kind, in whose kernel the unknown function occurs with two different arguments. The equation is solved by a collocation approach with piecewise Hermite polynomials. When using polynomials of degree 2 m- 1, m e N, and suitable quadrature formulas, the method has the order 2 m. The collocation points must be chosen in accordance with a stability condition.

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Journal Info
Formosa Journal of Applied Sciences (FJAS)
Website

Abbrev

fjas

Publisher

PT FORMOSA CENDEKIA GLOBAL

Subject

Control & Systems Engineering Decision Sciences, Operations Research & Management Education Engineering Social Sciences

Description

Formosa Journal of Applied Sciences (FJAS) seeks to propose and disseminate the knowledge by publishing original research findings and novelties, review articles and short communications in the wide spectrum of applied sciences. Scope of the journal includes: Biology, chemistry, physics, ...