Solution of nonlinear Volterra and Fredholm integro-differential equations by the rational Haar wavelet
عنوان مقاله: Solution of nonlinear Volterra and Fredholm integro-differential equations by the rational Haar wavelet
شناسه ملی مقاله: JR_JMMO-9-2_004
منتشر شده در در سال 1400
شناسه ملی مقاله: JR_JMMO-9-2_004
منتشر شده در در سال 1400
مشخصات نویسندگان مقاله:
Majid Erfanian - Department of Science, School of Mathematical Sciences, University of Zabol, Iran
Hamed Zeidabadi - Faculty of Engineering, Sabzevar University of New Technology, Sabzevar, Iran
خلاصه مقاله:
Majid Erfanian - Department of Science, School of Mathematical Sciences, University of Zabol, Iran
Hamed Zeidabadi - Faculty of Engineering, Sabzevar University of New Technology, Sabzevar, Iran
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.
کلمات کلیدی: Fixed point Banach theorem, nonlinear, Volterra, Fredholm, integro-differential, Haar wavelet, Convergence
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1995534/