Solution of Nonlinear Fredholm-Volterra Integral Equations via Block-Pulse Functions
الموضوعات : مجله بین المللی ریاضیات صنعتی
F. Abbasi
1
(Department of Mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran.)
M. Mohamadi
2
(Department of Mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran.)
الکلمات المفتاحية: Block-pulse functions, Nonlinear Fredholm-Volterra integral equation, Operational matrices,
ملخص المقالة :
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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