Directly solving special second order delay differential equations using Runge-Kutta-Nyström method
type: Item
instance of: scholarly article
title: Directly solving special second order delay differential equations using Runge-Kutta-Nyström method
zbMATH Open document ID: 1299.65141
published in: Mathematical Problems in Engineering
publication date: 2014-11-24T00:00:00Z
review text: Summary: Runge-Kutta-Nyström (RKN) method is adapted for solving the special second order delay differential equations (DDEs). The stability polynomial is obtained when this method is used for solving linear second order delay differential equation. A standard set of test problems is solved using the method together with a cubic interpolation for evaluating the delay terms. The same set of problems is reduced to a system of first order delay differential equations and then solved using the existing Runge-Kutta (RK) method. Numerical results show that the RKN method is more efficient in terms of accuracy and computational time when compared to RK method. The methods are applied to a well-known problem involving delay differential equations, that is, the Mathieu problem. The numerical comparison shows that both methods are in a good agreement.
Mathematics Subject Classification ID: 65L06
zbMATH DE Number: 6372679
author: M. Mechee
author: F. Ismail
author: N. Senu
author: Z. Siri
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6372679