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All Journal Formosa Journal of Applied Sciences (FJAS)
Ahmed Abdulkareem Hadi
Mathematics Science, Ministry of Education, Directorate of Education Baghdad Al-Rusafa
Control & Systems Engineering Decision Sciences, Operations Research & Management Education Engineering Social Sciences

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Numerical solution of a Volterra integral equation Ahmed Abdulkareem Hadi
Formosa Journal of Applied Sciences Vol. 2 No. 5 (2023): May, 2023
Publisher : PT FORMOSA CENDEKIA GLOBAL

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55927/fjas.v2i5.4038

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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