UPM Institutional Repository

Numerical computation of third order delay differential equations by using direct multistep method


Jaaffar, N. T. and Majid, Z. A. and Senu, N. (2021) Numerical computation of third order delay differential equations by using direct multistep method. Malaysian Journal of Mathematical Sciences, 15 (3). 369 - 385. ISSN 1823-8343; ESSN: 2289-750X


This paper introduces a direct multistep method to solve third order delay differential equations (DDEs) based on the boundary conditions given. The multistep method is presented in direct integration approach to reduce the total function calls involved and the method is derived implicitly so that the accuracy is attained. The method is also in block for every iteration to reduce total steps taken. The DDEs involve the endpoints of boundary conditions, hence, the shooting technique is to choose for the best value of additional initial value. The constant and pantograph delay types are the DDEs problems considered in this study. Lagrange interpolation is used to interpolate the delay involved in pantograph problems. The observation of the multistep method in terms of order, consistency, and convergence is also presented in this paper. The numerical results obtained are compared with the previous multistep method to verify the capability of the proposed method to solve third order DDEs directly.

Download File

[img] Text
Numerical Computation of Third Order Delay Differential Equations.pdf

Download (1MB)

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Institute for Mathematical Research, Universiti Putra Malaysia
Keywords: Boundary value problem; Delay differential equations; Multistep method; Shooting technique
Depositing User: Ms. Nur Faseha Mohd Kadim
Date Deposited: 05 Apr 2023 02:00
Last Modified: 05 Apr 2023 02:00
URI: http://psasir.upm.edu.my/id/eprint/94390
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item