Vahidi A, Momenzadeh N, Babolian E. Numerical solution of random Ito-Voltaire integral equation with random polynomials using modified and improved cap base functions. mmr 2023; 9 (1) :222-245
URL:
http://mmr.khu.ac.ir/article-1-3156-en.html
1- , alrevahidi@yahoo.com
Abstract: (1101 Views)
In this paper, modified hat functions and improved hat functions are proposed to solve stochastic Ito ̂-Volterra integral equations with multi stochastic terms. A linear system of equations are achieved by replacing the vector and matrix coefficients and operational matrices in the equation which is easy to solve with mathematical softwares. Also, under some conditions the error of these methods are o(h^3) and o(h^4 ) . The accuracy and reliability of these two methods are studied by solving and comparing the answers with block pulse functions and hat functions.
Type of Study:
Original Manuscript |
Subject:
Mat Received: 2020/11/29 | Revised: 2024/01/7 | Accepted: 2021/08/3 | Published: 2023/06/20 | ePublished: 2023/06/20