Solution of Nonlinear Fredholm-Volterra Integral Equations via Block-Pulse Functions
محورهای موضوعی : مجله بین المللی ریاضیات صنعتی
1 - Department of Mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran.
2 - Department of Mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran.
کلید واژه: Block-pulse functions, Nonlinear Fredholm-Volterra integral equation, Operational matrices,
چکیده مقاله :
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.
در این تحقیق روشی مستقیم در حل معادلات انتگرال فردهلم-ولترا غیرخطی ارائه می کنیم. با بکارگیری توابع بلک پالس و ماتریسهای عملیاتی و همچنین بسط تیلور معادله را به یک دستگاه غیرخطی تبدیل می‌کنیم. با چند مثال عددی دقت و کارایی روش را نشان می‌دهیم.
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