title: Solution of the nonlinear mixed Volterra-Fredholm integral equations by hybrid of block-pulse functions and Bernoulli polynomials.
abstract: A new numerical method for solving the nonlinear mixed Volterra-Fredholm integral equations is presented. This method is based upon hybrid functions approximation. The properties of hybrid functions consisting of block-pulse functions and Bernoulli polynomials are presented. The operational matrices of integration and product are given. These matrices are then utilized to reduce the nonlinear mixed Volterra-Fredholm integral equations to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.
authors: Department of Mathematics and Statistics, Mississippi State University, MS 39762, USA.
authors: S
authors: S
authors: Mashayekhi
authors: Department of Mathematics and Statistics, Mississippi State University, MS 39762, USA.
authors: M
authors: M
authors: Razzaghi
authors: Department of Mathematics and Statistics, Faculty of Science, Prince of Songkla University, Songkhla 90112, Thailand.
authors: O
authors: O
authors: Tripak
mesh_terms: D000465:Algorithms; D008962:Models, Theoretical