A New Multi-Step Method for Solving Delay Differential Equations using Lagrange Interpolation
Keywords:
Multi-step method, delay differential equations, interpolating function, Lagrange interpolation, stability polynomial and stability region.Abstract
This paper presents 2-step p-th order (p = 2,3,4) multi-step methods that are based on the combination of both polynomial and exponential functions for the solution of Delay Differential Equations (DDEs). Furthermore, the delay argument is approximated using the Lagrange interpolation. The local truncation errors and stability polynomials for each order are derived. The Local Grid Search Algorithm (LGSA) is used to determine the stability regions of the method. Moreover, applicability and suitability of the method have been demonstrated by some numerical examples of DDEs with constant delay, time dependent and state dependent delays. The numerical results are compared with the theoretical solution as well as the existing Rational Multi-step Method2 (RMM2).
Published
How to Cite
Issue
Section
Copyright (c) 2021 Journal of the Nigerian Society of Physical Sciences
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Similar Articles
- Bolarinwa Bolaji, Abdullahi Ibrahim, Favour Ani, Benjamin Omede, Godwin Acheneje, A model for the control of transmission dynamics of human monkeypox disease in Sub-Saharan Africa , Journal of the Nigerian Society of Physical Sciences: Volume 6, Issue 2, May 2024
- Enobong R. Essien, Violette N. Atasie, Ngozi A. Adeleye, Luqman A. Adams, Synthesis and in vitro bioactivity of sodium metasilicate-derived silicon-substituted hydroxyapatite , Journal of the Nigerian Society of Physical Sciences: Volume 6, Issue 3, August 2024
- Raja Aqib Shamim, Majid Khan Majahar Ali, Mohamed Farouk Haashir bin Hamdullah, Computational optimization of auctioneer revenue in modified discrete Dutch auctions with cara risk preferences
- Nongobsom Bazié, Christian Zoundi, M'BI Kaboré, Alfred Jean Stéphane Dama, Frédéric Ouattara, Response of the magnetospheric convection electric field (MCEF) to geomagnetic storms during the solar cycle 24 declining phase
- Afis Saliu, Semiu Oladipupo Oladejo, On Lemniscate of Bernoulli of q-Janowski type
- L. O. Agbolade, A. K. Y. Dafhalla, D. M. I. Zayan, T. Adam, A. Chik, A. A. Adewale, S. C. B. Gopinath, U. Hashim, A DFT study of the optoelectronic properties of B and Be-doped Graphene
- B. J. Adekoya, B. O. Adebesin, V. U. Chukwuma, S. J. Adebiyi, S. O. Ikubanni, H. T. Oladunjoye, E. O. Adekoya, Pattern and variation of electron ionisation gradient as related to the plasma distribution mechanisms during the total solar eclipse of March 20, 2015
- George Muddu, Shefiu Olusegun Ganiyu, Adekunle Olugbenga Ejidokun, Yusuf Abass Aleshinloye, Integrated data-driven credit default prediction in Uganda using machine learning models
- S. O. Ikubanni, S. J. Adebiyi, B. O. Adebesin, O. S. Bolaji, B. J. Adekoya, B. W. Joshua, J. O. Adeniyi, GPS-TEC Variations over the African Low-latitude Ionosphereduring March 2013 and 2015 Geomagnetic Storms
- Yazid Amri, Mohammed Abdelkader Belalem, Nedjimi Mohammed Said, Guerguer Louiza, Salah Tlili, Corrosion inhibition of carbon steel XC70 in 1M HCl solution using Balanite Aegyptiaca extracts as an eco-friendly inhibitor
You may also start an advanced similarity search for this article.
Most read articles by the same author(s)
- S. E. Fadugba, S. N. Ogunyebi, B. O. Falodun, An Examination of a Second Order Numerical Method for Solving Initial Value Problems , Journal of the Nigerian Society of Physical Sciences: Volume 2, Issue 3, August 2020
