مشخصات پژوهش

عنوان	Existence, uniqueness, and numerical approximation of solutions of a nonlinear functional integral equation
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Fixed point method Gauss quadrature rules Functional integral equation Picard iteration Existence Uniqueness
چکیده	A general nonlinear functional integral equation has been studied. The considered equation is of Fredholm type and includes some well-known integral or functional equations, as special cases. By assuming some smoothness conditions on the functions in the equation, we prove the existence and uniqueness of the solution by means of a fixed point method. Then, we apply the so-called Nyström method in order to approximate the solution, which leads to a system of nonlinear algebraic equations. In the next step, the Picard iteration method is utilized for approximating the solution of the resulting system of nonlinear algebraic equations. The convergence of the numerical scheme is proved, its computational complexity is computed and finally some illustrative examples are included to demonstrate the efficiency and applicability of the technique
پژوهشگران	خوارس دوس سانتوس آژودو (نفر سوم)، فاطمه پهلوانی (نفر چهارم)، علیرضا حسینی (نفر دوم)، سهراب بزم (نفر اول)