Open AccessBernoulli Wavelets Operational Matrices Method for the Solution of Nonlinear Stochastic Itô-Volterra Integral Equations
Author(s) -
S. C. Shiralashetti,
Lata Lamani
Publication year - 2020
Publication title -
earthline journal of mathematical sciences
Language(s) - English
Resource type - Journals
ISSN - 2581-8147
DOI - 10.34198/ejms.5221.395410
Subject(s) - volterra integral equation , nonlinear system , algebraic equation , bernoulli's principle , mathematics , wavelet , matrix (chemical analysis) , integral equation , algebraic number , mathematical analysis , computer science , physics , materials science , quantum mechanics , artificial intelligence , composite material , thermodynamics
This article gives an effective strategy to solve nonlinear stochastic Itô-Volterra integral equations (NSIVIE). These equations can be reduced to a system of nonlinear algebraic equations with unknown coefficients, using Bernoulli wavelets, their operational matrix of integration (OMI), stochastic operational matrix of integration (SOMI) and these equations can be solved numerically. Error analysis of the proposed method is given. Moreover, the results obtained are compared to exact solutions with numerical examples to show that the method described is accurate and precise.