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Stability analysis of a proposed scheme of order five for first order ordinary differential equations / Sunday Emmanuel Fadugba, Roseline Bosede Ogunrinde and Rowland Rotimi Ogunrinde

This paper presents the stability analysis of a proposed scheme of order five (FCM) for first order Ordinary Differential Equations (ODEs). The proposed FCM is derived by means of an interpolating function of polynomial and exponential forms. The properties of FCM were discussed extensively. The lin...

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التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Fadugba, Sunday Emmanuel, Ogunrinde, Roseline Bosede, Ogunrinde, Rowland Rotimi
التنسيق: مقال
اللغة:English
منشور في: Penerbitan UiTM 2021
الموضوعات:
QA Mathematics
الوصول للمادة أونلاين:https://ir.uitm.edu.my/id/eprint/61471/1/61471.pdf
https://ir.uitm.edu.my/id/eprint/61471/
https://mjoc.uitm.edu.my/
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id my.uitm.ir.61471
record_format eprints
spelling my.uitm.ir.614712022-06-14T03:17:28Z https://ir.uitm.edu.my/id/eprint/61471/ Stability analysis of a proposed scheme of order five for first order ordinary differential equations / Sunday Emmanuel Fadugba, Roseline Bosede Ogunrinde and Rowland Rotimi Ogunrinde Fadugba, Sunday Emmanuel Ogunrinde, Roseline Bosede Ogunrinde, Rowland Rotimi QA Mathematics This paper presents the stability analysis of a proposed scheme of order five (FCM) for first order Ordinary Differential Equations (ODEs). The proposed FCM is derived by means of an interpolating function of polynomial and exponential forms. The properties of FCM were discussed extensively. The linear stability of FCM in the context of the Third Order One-Step Method (TCM) and Second Order One-Step Method (SCM) for the solution of initial value problems of first order differential equations is presented. The stability region of FCM, TCM and SCM is investigated using the Dahlquist’s test equation. The numerical results obtained via FCM are compared with TCM and SCM. Moreover, by varying the step length, the accuracy and convergence of the methods in terms of the final absolute relative error are measured. The results show that FCM converges faster and more stable than its counterparts. Penerbitan UiTM 2021-10 Article PeerReviewed text en https://ir.uitm.edu.my/id/eprint/61471/1/61471.pdf Stability analysis of a proposed scheme of order five for first order ordinary differential equations / Sunday Emmanuel Fadugba, Roseline Bosede Ogunrinde and Rowland Rotimi Ogunrinde. (2021) Malaysian Journal of Computing (MJoC), 6 (2): 8. pp. 898-912. ISSN 2600-8238 https://mjoc.uitm.edu.my/
institution Universiti Teknologi Mara
building Tun Abdul Razak Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Mara
content_source UiTM Institutional Repository
url_provider http://ir.uitm.edu.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Fadugba, Sunday Emmanuel
Ogunrinde, Roseline Bosede
Ogunrinde, Rowland Rotimi
Stability analysis of a proposed scheme of order five for first order ordinary differential equations / Sunday Emmanuel Fadugba, Roseline Bosede Ogunrinde and Rowland Rotimi Ogunrinde
description This paper presents the stability analysis of a proposed scheme of order five (FCM) for first order Ordinary Differential Equations (ODEs). The proposed FCM is derived by means of an interpolating function of polynomial and exponential forms. The properties of FCM were discussed extensively. The linear stability of FCM in the context of the Third Order One-Step Method (TCM) and Second Order One-Step Method (SCM) for the solution of initial value problems of first order differential equations is presented. The stability region of FCM, TCM and SCM is investigated using the Dahlquist’s test equation. The numerical results obtained via FCM are compared with TCM and SCM. Moreover, by varying the step length, the accuracy and convergence of the methods in terms of the final absolute relative error are measured. The results show that FCM converges faster and more stable than its counterparts.
format Article
author Fadugba, Sunday Emmanuel
Ogunrinde, Roseline Bosede
Ogunrinde, Rowland Rotimi
author_facet Fadugba, Sunday Emmanuel
Ogunrinde, Roseline Bosede
Ogunrinde, Rowland Rotimi
author_sort Fadugba, Sunday Emmanuel
title Stability analysis of a proposed scheme of order five for first order ordinary differential equations / Sunday Emmanuel Fadugba, Roseline Bosede Ogunrinde and Rowland Rotimi Ogunrinde
title_short Stability analysis of a proposed scheme of order five for first order ordinary differential equations / Sunday Emmanuel Fadugba, Roseline Bosede Ogunrinde and Rowland Rotimi Ogunrinde
title_full Stability analysis of a proposed scheme of order five for first order ordinary differential equations / Sunday Emmanuel Fadugba, Roseline Bosede Ogunrinde and Rowland Rotimi Ogunrinde
title_fullStr Stability analysis of a proposed scheme of order five for first order ordinary differential equations / Sunday Emmanuel Fadugba, Roseline Bosede Ogunrinde and Rowland Rotimi Ogunrinde
title_full_unstemmed Stability analysis of a proposed scheme of order five for first order ordinary differential equations / Sunday Emmanuel Fadugba, Roseline Bosede Ogunrinde and Rowland Rotimi Ogunrinde
title_sort stability analysis of a proposed scheme of order five for first order ordinary differential equations / sunday emmanuel fadugba, roseline bosede ogunrinde and rowland rotimi ogunrinde
publisher Penerbitan UiTM
publishDate 2021
url https://ir.uitm.edu.my/id/eprint/61471/1/61471.pdf
https://ir.uitm.edu.my/id/eprint/61471/
https://mjoc.uitm.edu.my/
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score 13.251813

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