Boole approximation method with residual error function to solve linear Volterra integro-differential equations

Authors : Kübra ERDEM BİÇER, Hale Gül DAĞ

Pages : 59-66

Doi:10.18466/cbayarfbe.791302

View : 16 | Download : 13

Publication Date : 2020-12-30

Article Type : Research Paper

Abstract :In this study, a numerical method is developed for the approximate solution of the linear Volterra integro-differential equations. This method is based Boole polynomial, its derivatives and the collocation points. The aim is to reduce the given problem, as the linear algebraic equation, to the matrix equation. This matrix equation is solved using Boole collocation points. As a result, the approximate solution is obtained in the truncated Boole series in the interval [a,b]. The exact solution and the approximate solution are included in the study. Also, the error analysis and residual correction calculations are performed in the study. The results have been obtained by using computer program MATLAB.
Keywords : Boole polynomial, linear Volterra integro differential equation, collocation points, approximate solutions, Residual error analysis