Open AccessHybrid approximation for solutions of high-order integro-differential equations including variable delay
Author(s) -
Burcu Gürbüz
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1641/1/012062
Subject(s) - laguerre polynomials , collocation (remote sensing) , variable (mathematics) , mathematics , differential equation , collocation method , algebraic equation , matrix (chemical analysis) , numerical analysis , algebraic number , mathematical analysis , computer science , ordinary differential equation , nonlinear system , physics , materials science , quantum mechanics , machine learning , composite material
In this study, a numerical technique with hybrid approximation is developed for solving high-order linear integro-differential equations including variable delay under the initial conditions. These type of problems are of applications in mathematical physics, mechanics, natural sciences, electronics and computer science. The aim of this work is to investigate an approximation with the matrix forms of Taylor and Laguerre polynomials along with standard collocation points. By the reduction of the solution of this problem with regard to the matrix relations, the solution of a system of algebraic equations has been obtained. The usefulness of this algorithm has been demonstrated by numerical experiments together with an error analysis technique.