1404/03/26

خسرو سایوند

مرتبه علمی: استاد
ارکید:
تحصیلات: دکترای تخصصی
اسکاپوس:
دانشکده: دانشکده علوم ریاضی و آمار
نشانی: ملایر گروه ریاضی دانشگاه ملایر
تلفن: 081-33398981

مشخصات پژوهش

عنوان
Orthonormal Bernoulli Polynomials for Solving a Class of Two Dimensional Stochastic Volterra–Fredholm Integral Equations
نوع پژوهش
JournalPaper
کلیدواژه‌ها
Orthonormal Bernoulli polynomials · Stochastic Volterra–Fredholm integral equations · Itô integral · Error analysis · Operational matrix
سال
2022
مجله International Journal of Applied and Computational Mathematics
شناسه DOI
پژوهشگران Khosro Sayevand

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.