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A robust diagonally implicit block method for solving first order stiff IVP of ODEs

Link to publisher's homepage at https://amci.unimap.edu.my/

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Main Authors: Abdu Masanawa, Sagir, Muhammad Abdullahi
Other Authors: maunwala@gmail.com
Format: Article
Language:English
Published: Institute of Engineering Mathematics, Universiti Malaysia Perlis 2023
Subjects:
Block
Diagonally
Implicit
Ordinary Differential Equation
Stiff IVPs
Online Access:http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77660
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spelling my.unimap-776602023-01-12T03:59:12Z A robust diagonally implicit block method for solving first order stiff IVP of ODEs Abdu Masanawa, Sagir Muhammad Abdullahi Abdu Masanawa, Sagir maunwala@gmail.com Department of Mathematical Sciences, Federal University Dutsin-Ma, Nigeria Block Diagonally Implicit Ordinary Differential Equation Stiff IVPs Link to publisher's homepage at https://amci.unimap.edu.my/ In this work, a block of diagonally implicit backward differentiation method with two off-step points for solving first order stiff initial value problem of ordinary differential equation was derived. In the proposed block method two approximate solution values of +1 and +2 with two off-step points +12 and +32 are computed concurrently for each iteration. The properties of the newly proposed method were found to be an A-stable, Zero stable and capable for solving first order Stiff IVPs. To validate the performance of the proposed method, some first order stiff IVPs are solved and the result obtained was compared with other existing numerical schemes. From the tabulated results and the graphs plotted, the proposed method has shown advantages of accuracy in the scale error over the three methods and an advantage of executional time over two of the existing methods considered. 2023-01-12T03:59:12Z 2023-01-12T03:59:12Z 2022-12 Article Applied Mathematics and Computational Intelligence (AMCI), vol.11(1), 2022, pages 252-273 2289-1315 (print) 2289-1323 (online) http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77660 https://amci.unimap.edu.my/ en Institute of Engineering Mathematics, Universiti Malaysia Perlis
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Block
Diagonally
Implicit
Ordinary Differential Equation
Stiff IVPs
spellingShingle Block
Diagonally
Implicit
Ordinary Differential Equation
Stiff IVPs
Abdu Masanawa, Sagir
Muhammad Abdullahi
Abdu Masanawa, Sagir
A robust diagonally implicit block method for solving first order stiff IVP of ODEs
description Link to publisher's homepage at https://amci.unimap.edu.my/
author2 maunwala@gmail.com
author_facet maunwala@gmail.com
Abdu Masanawa, Sagir
Muhammad Abdullahi
Abdu Masanawa, Sagir
format Article
author Abdu Masanawa, Sagir
Muhammad Abdullahi
Abdu Masanawa, Sagir
author_sort Abdu Masanawa, Sagir
title A robust diagonally implicit block method for solving first order stiff IVP of ODEs
title_short A robust diagonally implicit block method for solving first order stiff IVP of ODEs
title_full A robust diagonally implicit block method for solving first order stiff IVP of ODEs
title_fullStr A robust diagonally implicit block method for solving first order stiff IVP of ODEs
title_full_unstemmed A robust diagonally implicit block method for solving first order stiff IVP of ODEs
title_sort robust diagonally implicit block method for solving first order stiff ivp of odes
publisher Institute of Engineering Mathematics, Universiti Malaysia Perlis
publishDate 2023
url http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77660
_version_ 1772813094837288960
score 13.214268

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