Abstract

A numerical method for solving nonlinear Stochastic Itô–Volterra equations is proposed. The method is based on delta function (DF) approximations. The properties of DFs and their operational matrix of integration together with the Newton–Cotes nodes are presented and utilized to reduce the problem to the solution of a nonlinear system of algebraic equations. The method is computationally attractive and some numerical examples are provided to illustrate its high accuracy.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.