Runge-Kutta Method and Bolck by Block Method to Solve Nonlinear Fredholm-Volterra Integral Equation with Continuous Kernel

• 作者: J. G. Al-Juaid
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: Nonlinear Fredholm-Volterra Integral Equation System of Nonlinear Volterra Integral Equations Runge-Kutta Method Bolck by Block Method
• 年，卷（期）: 2020,（9）
• 页码范围: 2043-2054
• 页数: 12页
• 分类号: O17

摘要

In this paper, the existence and uniqueness of the solution of Fredholm-Volterra integral equation is considered (NF-VIE) with continuous kernel;then we used a numerical method to reduce this type of equations to a system of nonlinear Volterra integral equations. Runge-Kutta method (RKM) and Bolck by block method (BBM) are used to solve the system of nonlinear Volterra integral equations of the second kind (SNVIEs) with continuous kernel. The error in each case is calculated.