مشخصات پژوهش

عنوان	A numerical method for solving linear integral equations of the second kind on the non-rectangular domains based on the meshless method
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Two-dimensional Fredholm integral equation, Mixed Volterra–Fredholm integral equation, Radial basis function (RBF), Meshless Method, Non-rectangular domain, Error analysis
چکیده	The main purpose of this article is to describe a numerical scheme for solving two-dimensional linear Fredholm integral equations of the second kind on a non-rectangular domain. The method approximates the solution by the discrete collocation method based on radial basis functions (RBFs) constructed on a set of disordered data. The proposed method does not require any background mesh or cell structures, so it is meshless and consequently independent of the geometry of domain. This approach reduces the solution of the twodimensional integral equation to the solution of a linear system of algebraic equations. The error analysis of the method is provided. The proposed scheme is also extended to linear mixed Volterra–Fredholm integral equations. Finally, some numerical examples are presented to illustrate the efficiency and accuracy of the new technique.
پژوهشگران	پوریا عصاری (نفر اول)، حجت اله ادیبی (نفر دوم)، مهدی دهقان (نفر سوم)