Title of article :
Solution of Nonlinear Fredholm-Volterra Integral Equations via Block-Pulse Functions
Author/Authors :
Abbasi, F. Department of Mathematics - Ayatollah Amoli Branch Islamic Azad University, Iran , Mohamadi, M. Department of Mathematics - Ayatollah Amoli Branch Islamic Azad University, Iran
Abstract :
In this paper, a new simple direct method to solve nonlinear Fredholm-Volterra integral equations is presented. By using Block-pulse (BP) functions, their operational matrices and Taylor expansion a nonlinear Fredholm-Volterra integral equation converts to a nonlinear system. Some numerical examples illustrate accuracy and reliability of our solutions. Also, effect of noise shows our solutions are stable.
Keywords :
Nonlinear Fredholm-Volterra integral equation , Block-pulse functions , Operational matrices.
Journal title :
International Journal of Industrial Mathematics(IJIM)
