Delay integro differential equations solutions with Euler polynomials method

OpenAlex İngilizce

In this study, a matrix-collocation method is applied to obtain the approximate solutions of integro-differential equations with variable delays by a truncated Taylor series.In the method, the functions and the coefficients in the problem are represented in the matrix form and the problem is reduced into an algebraic equations system.Then this algebraic system is solved by a code written in MATLAB in order to find approximate solutions.Besides, by using residual function, an error analysis technique with error estimation has been performed to improve the approximate solutions.On the other hand, the numerical examples along with tables and figures are given to illustrate validity and the applicability of the method and the obtained results are compared with the existing methods in literature.