UPM Institutional Repository

Solving delay differential equations of small and vanishing lag using multistep block method


Citation

Abdul Aziz, Nurul Huda and Abdul Majid, Zanariah and Ismail, Fudziah (2014) Solving delay differential equations of small and vanishing lag using multistep block method. Journal of Applied Mathematics, 2014. art. no. 348912. pp. 1-10. ISSN 1110-757X; ESSN: 1687-0042

Abstract

This paper considers the numerical solution of delay differential equations for solving the problem of small and vanishing lag using multistep block method. This problem arises when the size of a delay value is smaller than the step size, x - τ < h, and the delay time may even vanish when τ → 0 in a current step. The proposed approach that is based on interpolation of Newton divided difference has been implemented by adapting this problem to the multistep block method. In order to achieve the required accuracy, this approach considered the appropriate degree of interpolation polynomial in approximating the solution of delay term. The developed code for solving small and vanishing lag is done using C program and we called it as DDEB5. The P-stability and Q-stability of this method are also studied. Numerical results are presented and compared to the existing method in order to illustrate the efficiency of the proposed method.


Download File

[img] PDF
51855.pdf
Restricted to Repository staff only

Download (2MB)

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1155/2014/348912
Publisher: Hindawi Publishing Corporation
Keywords: Delay differential equations; Multistep block method; Small and vanishing lag
Depositing User: Nabilah Mustapa
Date Deposited: 02 May 2017 08:05
Last Modified: 02 May 2017 08:05
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2014/348912
URI: http://psasir.upm.edu.my/id/eprint/51855
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item