A NEW NUMERICAL METHOD FOR SOLVING DELAY INTEGRAL EQUATIONS WITH VARIABLE BOUNDS BY USING GENERALIZED MOTT POLYNOMIALS

Authors : Ömür KÜRKÇÜ

Pages : 844-857

Doi:10.18038/aubtda.409056

View : 11 | Download : 8

Publication Date : 2018-12-31

Article Type : Research Paper

Abstract :In this study, the functional delay integral equations with variable bounds are considered. Their approximate solutions are obtained by using a new method based on matrix, collocation points and the generalized Mott polynomials with the parameter-$\beta$. An error analysis technique consisting of the residual function is performed. The numerical examples are illustrated for the practicability and usability of the method. The behavior of the solutions is monitored in terms of the parameter-$\beta$. The accuracy of the method is scrutinized for different values of N. In addition, the numerical results are discussed in figures and tables.
Keywords : Mott polynomials, Matrix method, Collocation points, Error analysis