Solving nonlinear Volterra integral equations of the first kind with discontinuous kernels by using the operational matrix method

DOI10.1134/s0965542523110015zbMath1530.65185OpenAlexW4390196351MaRDI QIDQ6148038

A. Salimi Shamloo, Simin Aghaei Amirkhizi, Yaghoub Mahmoudi

Publication date: 11 January 2024

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542523110015

zbMATH Keywords

nonlinear Volterra integral equationoperational matrixsmooth functionpiecewise continuous kernel

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05)

Cites Work

• Unnamed Item
• Unnamed Item
• Numeric solution of Volterra integral equations of the first kind with discontinuous kernels
• On one integral Volterra model of developing dynamical systems
• Comparison of Legendre polynomial approximation and variational iteration method for the solutions of general linear Fredholm integro-differential equations
• 1896--1996: One hundred years of Volterra integral equations of the first kind
• Polynomial spline collocation method for solving weakly regular Volterra integral equations of the first kind
• Legendre polynomials approximation method for solving Volterra integral equations of the first kind with discontinuous kernels
• Solvability and Numerical Solutions of Systems of Nonlinear Volterra Integral Equations of the First Kind with Piecewise Continuous Kernels
• A Double Iteration Process for Solving the NonlinearAlgebraic Equations, Especially for Ill-posed NonlinearAlgebraic Equations
• Control of accuracy on Taylor-collocation method to solve the weakly regular Volterra integral equations of the first kind by using the CESTAC method

This page was built for publication: Solving nonlinear Volterra integral equations of the first kind with discontinuous kernels by using the operational matrix method