Fibonacci wavelet based numerical method for the solution of nonlinear Stratonovich Volterra integral equations

This article provides an effective technique to solve nonlinear Stratonovich Volterra integral equations (NSVIE). These equations can be reduced to a system of nonlinear algebraic equations with unknown Fibonacci coefficients, by using Fibonacci wavelets, their operational matrix of integration and...

Full description

Saved in:
Bibliographic Details
Published in:Scientific African 2020-11, Vol.10, p.e00594, Article e00594
Main Authors: Shiralashetti, S.C., Lamani, Lata
Format: Article
Language:English
Subjects:
Brownian motion
Fibonacci wavelets
Nonlinear Stratonovich Volterra integral equations
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This article provides an effective technique to solve nonlinear Stratonovich Volterra integral equations (NSVIE). These equations can be reduced to a system of nonlinear algebraic equations with unknown Fibonacci coefficients, by using Fibonacci wavelets, their operational matrix of integration and stochastic operational matrix of integration and these equations can be solved by numerical methods such as Newton's method. Error estimate of the proposed method is given. Moreover, the results obtained by the method proposed are compared to block pulse functions and Legendre wavelets method with two numerical examples to show that the method described is precise and accurate.
ISSN:2468-2276
2468-2276
DOI:10.1016/j.sciaf.2020.e00594