Open AccessA hybrid method for solution of linear Volterra integro-differential equations (LVIDES) via finite difference and Simpson’s numerical methods (FDSM)
Author(s) -
Bashir Danladi Garba,
Sirajo Lawan Bichi
Publication year - 2021
Publication title -
open journal of mathematical analysis
Language(s) - English
Resource type - Journals
eISSN - 2616-8111
pISSN - 2616-8103
DOI - 10.30538/psrp-oma2021.0084
Subject(s) - mathematics , convergence (economics) , algebraic equation , volterra integral equation , finite difference method , differential equation , simplicity , numerical analysis , volterra equations , numerical methods for ordinary differential equations , finite difference , mathematical analysis , nonlinear system , differential algebraic equation , integral equation , ordinary differential equation , physics , quantum mechanics , economics , economic growth
In this paper, a hybrid of Finite difference-Simpson’s approach was applied to solve linear Volterra integro-differential equations. The method works efficiently great by reducing the problem into a system of linear algebraic equations. The numerical results shows the simplicity and effectiveness of the method, error estimation of the method is provided which shows that the method is of second order convergence.