A Numerical Approximation of the Stochastic Ito-Volterra Integral Equation

Oduselu–Hassan, Emmanuel Oladayo and Njoseh, Ignatius N. and Tsetimi, Jonathan (2023) A Numerical Approximation of the Stochastic Ito-Volterra Integral Equation. Asian Research Journal of Mathematics, 19 (11). pp. 61-68. ISSN 2456-477X

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Abstract

A stochastic differential equation (SDE) is a differential equation in which one or more of the terms and the solution are stochastic processes. Numerous studies have employed orthogonal polynomials, however most of them focus on deterministic rather than stochastic systems. This is the reason why in this study, we looked into a numerical solution for the stochastic Ito-Volterra integral equation using the explicit finite difference scheme and Bernstein polynomials as trial functions. The equidistant collocation procedure was used to calculate the unknown constant parameters in between and reach the desired approximation. The method was evaluated and contrasted with the Block Pulse method for approximate answers based on the aforementioned method, which were obtained and compared with others in the literature.

Item Type: Article
Subjects: Science Global Plos > Mathematical Science
Depositing User: Unnamed user with email support@science.globalplos.com
Date Deposited: 26 Oct 2023 05:26
Last Modified: 26 Oct 2023 05:26
URI: http://ebooks.manu2sent.com/id/eprint/1861

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