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A simple method to solve nonlinear Volterra-Fredholm integro-differential equations | ||
Mathematical Analysis and its Contemporary Applications | ||
دوره 2، شماره 1، تیر 2020، صفحه 9-16 اصل مقاله (279.46 K) | ||
نوع مقاله: Original Article | ||
شناسه دیجیتال (DOI): 10.30495/maca.2020.679851 | ||
نویسندگان | ||
Mohsen Mohamadi* ؛ Amir Shahmari | ||
Department of mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol,Iran | ||
چکیده | ||
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. Moreover, the effect of noise shows our method is stable. | ||
کلیدواژهها | ||
Nonlinear Volterra-Fredholm integro-differential equation؛ Block-pulse functions؛ Taylor expansion؛ Operational matrices | ||
آمار تعداد مشاهده مقاله: 75 تعداد دریافت فایل اصل مقاله: 143 |