Numerical solution of system of linear integral equations via improvement of block-pulse functions

In this article, a numerical method based on  improvement of block-pulse functions (IBPFs) is discussed for solving the system of linear Volterra and Fredholm integral equations. By using IBPFs and their operational matrix of integration, such systems can be reduced to a linear system of algebraic equations. An efficient error estimation and associated theorems for the proposed method are also presented. Some examples are given to clarify the efficiency and accuracy of the method.

Keywords:

system of linear integral equations , improvement of block-pulse functions , operational matrix , vector forms , error analysis