A Method to Approximate Solution of the First Kind Abel Integral Equation Using Navot's Quadrature and Simpson's Rule

Publish Year: 1388
نوع سند: مقاله ژورنالی
زبان: English
View: 39

This Paper With 11 Page And PDF Format Ready To Download

  • Certificate
  • من نویسنده این مقاله هستم

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این Paper:

شناسه ملی سند علمی:

JR_IJIM-1-1_001

تاریخ نمایه سازی: 27 دی 1402

Abstract:

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 modi ed 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.

Authors

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