Fourth Order Block-by-block Method to Solve System of Non-linear Volterra Integral Equations of the Second Kind

Abstract

In this paper we consider non-linear system of Volterra integral equations of the second kind (NSVIEK2). Fourth order block-by-block is modified and applied to solve NSVIEK2. A comparison between approximate and exact results for two numerical examples depending on the least-square error are given to show the accuracy of the results obtained by using this method. Programs are written in matlab program version 7.0.

Keywords

• fourth
• order
• block
• block
• method
• solve
• system of non
• linear
• volterra integral
• equations
• the second
• kind