A NUMERICAL APPROACH FOR HAMMERSTEIN INTEGRAL EQUATIONS OF MIXED TYPE USING OPERATIONAL MATRICES OF HYBRID FUNCTIONS

作者：Maleknejad Khosrow^*; Hashemizadeh Elham

来源：Polytechnical University of Bucharest Scientific Bulletin Series A- Applied Mathematics and Physics, 2011, 73(3): 95-104.

• Hammerstein integral equation of mixed type
• Volterra-Hammerstein integral equation of mixed type
• block-pulse function
• hybrid function
• operational matrix
• integration of the cross product
• coefficient matrix

This paper presents an efficient numerical procedure for solving the nonlinear Hammerstein integral equations of mixed type. These equations arise in the dynamic model of chemical reactor, some problems in control theory and various reformulations of an elliptic partial differential equation with nonlinear boundary conditions. Our method uses hybrid function and some useful properties of these functions to convert a Hammerstein and Volterra-Hammerstein integral equations of mixed type into an algebraic equation. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments.

• 出版日期2011