A Combination of Bernstein and Improved Block-Pulse Functions for Solving a System of Linear Fredholm Integral Equations

The present paper illustrates a new numerical technique to solve system of linear Fredholm integral equations the second kind. current work introduces coupling between hybrid Bernstein functions and improved block-pulse (HBI). method transforms kind into an algebraic that can be solved by using classical methods. Some examples are introduced validate approach. results showed is promising, powerful, ultimately accurate, highly efficient.