مشخصات پژوهش

عنوان	A COLLOCATION METHOD FOR SOLVING BIDIMENSIONAL FREDHOLM INTEGRAL EQUATION ON IRREGULAR DOMAIN
نوع پژوهش	مقاله ارائه شده
کلیدواژه‌ها	Bidimensional integral equation, Irregular domain, Fredholm integral equation, Legendre-Gauss-Lobatto method.
چکیده	In this article, we introduce a numerical method to solve the second type Fredholm integral problem with irregular integration region. We use a transformation to regularize the irregular region of integration into a regular quadratic region, and then convert the integral equation into a system of nonlinear equations using the Gauss Lobatto-Legendre (LGL) collocation technique. Then we solve the system by Newton’s method. Finally, some examples are given to show the efficiency of the proposed method.
پژوهشگران	افشین بابائی (نفر سوم)، جلال الدین ایزدیان (نفر دوم)، سحر جلالیان (نفر اول)