A Method to Approximate Solution of the First Kind Abel Integral Equation Using Navot's Quadrature and Simpson's Rule
عنوان مقاله: A Method to Approximate Solution of the First Kind Abel Integral Equation Using Navot's Quadrature and Simpson's Rule
شناسه ملی مقاله: JR_IJIM-1-1_001
منتشر شده در در سال 1388
شناسه ملی مقاله: JR_IJIM-1-1_001
منتشر شده در در سال 1388
مشخصات نویسندگان مقاله:
M. A. Fariborzi Araghi - Department of Mathematics, Islamic Azad University, Central Tehran Branch, P.O. Box ۱۳۱۸۵.۷۶۸, Tehran, Iran
S. Yazdani - Department of Mathematics, Islamic Azad University, Central Tehran Branch, P.O. Box ۱۳۱۸۵.۷۶۸, Tehran, Iran
خلاصه مقاله:
M. A. Fariborzi Araghi - Department of Mathematics, Islamic Azad University, Central Tehran Branch, P.O. Box ۱۳۱۸۵.۷۶۸, Tehran, Iran
S. Yazdani - Department of Mathematics, Islamic Azad University, Central Tehran Branch, P.O. Box ۱۳۱۸۵.۷۶۸, Tehran, Iran
In this paper, we present a method for solving the rst kind Abel integral equation. In thismethod, the rst kind Abel integral equation is transformed to the second kind Volterraintegral equation with a continuous kernel and a smooth deriving term expressed by weaklysingular integrals. By using Sidi's sinm - transformation and modied Navot-Simpson'sintegration rule, an algorithm for solving this kind of integral equation is proposed, thenthe convergence of algorithm is derived. Some numerical results show the eciency of thementioned method.
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1887495/