مشخصات پژوهش

عنوان	Orthonormal Bernoulli Polynomials for Solving a Class of Two Dimensional Stochastic Volterra–Fredholm Integral Equations
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Orthonormal Bernoulli polynomials, Stochastic Volterra–Fredholm integral equations, Itô integral , Error analysis , Operational matrix
چکیده	Analyzing the mathematical models involving Itô integral, in particular in science and engineering has received much attention, and the reason for this issue is the randomness and lack of access to the exact answer of this type of models. For this purpose, in this paper, the approximate solution of two dimensional (2-D) stochastic Volterra–Fredholm integral equations (SVFIEs) based on the operational matrix method and orthonormal Bernoulli polynomials (OBP) is investigated. Some results and convergence analysis are also presented. Finally, by presenting three examples and reviewing the results and numerical comparisons, we showed that the proposed method has an excellent performance.
پژوهشگران	سونیل کمار (نفر چهارم)، ایمان مستی (نفر سوم)، خسرو سایه وند (نفر دوم)، احمد پوردرویش (نفر اول)