MMN-3325

An efficient method for solving second-order delay differential equation

Erkan Cimen; Sevket Uncu;

Abstract

In this paper, the initial-value problem for a linear second order delay differential equation is considered. To solve this problem numerically, an appropriate difference scheme is constructed on a uniform using the method of integral identities which contains basis functions and interpolating quadrature rules with weight and remainder term in integral form. Besides, the method is proved to be first-order convergent in discrete maximum norm. Afterwards, numerical illustration provided support the theoretical results. Finally, the proposed method is compared with the implicit Euler method.


Vol. 22 (2021), No. 2, pp. 625-638
DOI: 10.18514/MMN.2021.3325


Download: MMN-3325