WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 19, 2024
A Beneficial Numerical Approach to Solve Systems of Linear Integro-Differential Equations
Authors: ,
Abstract: The system of linear Fredholm-Volterra integro-differential equations (FVIDEs) has been solved in
this paper by an improved approximation method. Generalised Bernstein polynomials and collocation points
have been used to construct the theory of the method. The aim of the technique is to reduce systems of
integro-differential equations into an algebraic matrix equation, which corresponds to a linear algebraic equation
system, by means of Bernstein polynomials. In order to analyse the applicability of the method, some illustrative
examples have also been considered. It has been shown that the proposed method is faster and more effective
than the others when comparing the numerical results.
Search Articles
Keywords: Bernstein polynomial approach, collocation method, system of integro-differential equations
Pages: 309-315
DOI: 10.37394/23203.2024.19.32