Open AccessNumerical Solution of Linear Fractional Differential Equation with Delay Through Finite Difference Method
Author(s) -
Auras K. Hameed,
Muna M. Mustafa
Publication year - 2022
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2022.63.3.28
Subject(s) - mathematics , convergence (economics) , fractional calculus , mathematical analysis , numerical analysis , differential equation , finite difference method , finite difference , term (time) , order (exchange) , physics , finance , quantum mechanics , economics , economic growth
This article addresses a new numerical method to find a numerical solution of the linear delay differential equation of fractional order , the fractional derivatives described in the Caputo sense. The new approach is to approximating second and third derivatives. A backward finite difference method is used. Besides, the composite Trapezoidal rule is used in the Caputo definition to match the integral term. The accuracy and convergence of the prescribed technique are explained. The results are shown through numerical examples.