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Solution of nonlinear Volterra and Fredholm integro-differential equations by the rational Haar wavelet | ||
Journal of Mathematical Modeling | ||
دوره 9، شماره 2، مرداد 2021، صفحه 201-213 اصل مقاله (378.74 K) | ||
نوع مقاله: Research Article | ||
شناسه دیجیتال (DOI): 10.22124/jmm.2020.16051.1404 | ||
نویسندگان | ||
Majid Erfanian* 1؛ Hamed Zeidabadi2 | ||
1Department of Science, School of Mathematical Sciences, University of Zabol, Iran | ||
2Faculty of Engineering, Sabzevar University of New Technology, Sabzevar, Iran | ||
چکیده | ||
We successively apply the rational Haar wavelet to solve the nonlinear Volterra integro-differential equations and nonlinear Fredholm integro-differential equations. Using the Banach fixed point theorem for these equations, we prove the convergence. In this method, no numerical integration is used. Numerical results are presented to show the effectiveness of this method. | ||
کلیدواژهها | ||
Fixed point Banach theorem؛ nonlinear؛ Volterra؛ Fredholm؛ integro-differential؛ Haar wavelet؛ convergence | ||
آمار تعداد مشاهده مقاله: 780 تعداد دریافت فایل اصل مقاله: 923 |