Solution of Nonlinear Fredholm-Volterra Integral Equations via Block-Pulse ‎Functions

Subject Areas : International Journal of Industrial Mathematics

فضل اله  عباسی ¹ (دانشگاه آزاد اسلامی واحد آیت الله آملی)
محسن  محمدی ² (دانشگاه آزاد اسلامی واحد آیت الله آملی)

Received: 2019-07-15 Accepted : 2020-06-07 Published : 2020-08-01

Keywords: Block-pulse functions, Nonlinear Fredholm-Volterra integral equation, Operational matrices,

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.

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