الگوريتمي ساده براي حل عددي معادله انتگرال ولترا با هسته منفرد ضعيف

A simple Algorithm for Solving the Volterra Integral Equation Featuring a Weakly Singular kernel

روش هاي زيادي براي حل عددي معادلات انتگرال وجود دارد. در اين مقاله يك روش عددي ساده با استفاده از تبديل فازي، براي حل عددي معادله انتگرال با هسته منفرد ضعيف ارائه شده است. در پايان نيز با ارائه سه مثال موثر بودن روش پيشنهادي بررسي گرديد. در تمامي محاسبات و نمودارها از نرم افزار متمتيكا استفاده شده اس

Abstract There are many methods for numerical solutions of integral equations. In various branches of science and engineering, chemistry and biology, and physics applications integral equation is provided by many other authors. In this paper, a simple numerical method using a fuzzy, for the numerical solution of the integral equation with the weak singular kernel is provided. Finally, by providing three examples of the effectiveness of the proposed method was evaluated. In all the calculations and diagrams of the software, Mathematica is used. The advantage of the proposed method is that the algorithm is simple, appropriate and consistent with the exact solution provides a numerical answer. Examples and results presented in the previous section suggest this claim. A fast algorithm for the numerical solution for converting n fuzzy partition is also provided. The speed and simplicity of the algorithm allow any author to obtain a numerical answer with the help of this method it used to take.