Solving ordinary differential equation (ODE) using least square method: Application of steepest descent method

Solving ordinary differential equation (ODE) using least square method: Application of steepest descent method

An ordinary differential equation (ODE) is an equation and techniques that is widely used in mathematical modelling and the most mathematical formulations used in physical laws. One of the useful numerical method to solve non-homogeneous second order linear ODE is the least square method (LSM). Howe...

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Published in:International Journal of Recent Technology and Engineering
Main Author: Husin S.F.; Mamat M.; Ibrahim M.A.H.; Rivaie M.
Format: Article
Language:English
Published: Blue Eyes Intelligence Engineering and Sciences Publication 2019
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85070317414&partnerID=40&md5=28cad176b3e04d47f3bd6a32b5d10cf7
id 2-s2.0-85070317414
spelling 2-s2.0-85070317414
Husin S.F.; Mamat M.; Ibrahim M.A.H.; Rivaie M.
Solving ordinary differential equation (ODE) using least square method: Application of steepest descent method
2019
International Journal of Recent Technology and Engineering
7
5

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85070317414&partnerID=40&md5=28cad176b3e04d47f3bd6a32b5d10cf7
An ordinary differential equation (ODE) is an equation and techniques that is widely used in mathematical modelling and the most mathematical formulations used in physical laws. One of the useful numerical method to solve non-homogeneous second order linear ODE is the least square method (LSM). However, the LSM requires to the use of the inverse matrix to find the solution. Hence to prevent this difficulties, this paper seeks to solve ODE by using LSM with an application of optimization method using steepest descent (SD) method. © BEIESP.
Blue Eyes Intelligence Engineering and Sciences Publication
22773878
English
Article
author Husin S.F.; Mamat M.; Ibrahim M.A.H.; Rivaie M.
spellingShingle Husin S.F.; Mamat M.; Ibrahim M.A.H.; Rivaie M.
Solving ordinary differential equation (ODE) using least square method: Application of steepest descent method
author_facet Husin S.F.; Mamat M.; Ibrahim M.A.H.; Rivaie M.
author_sort Husin S.F.; Mamat M.; Ibrahim M.A.H.; Rivaie M.
title Solving ordinary differential equation (ODE) using least square method: Application of steepest descent method
title_short Solving ordinary differential equation (ODE) using least square method: Application of steepest descent method
title_full Solving ordinary differential equation (ODE) using least square method: Application of steepest descent method
title_fullStr Solving ordinary differential equation (ODE) using least square method: Application of steepest descent method
title_full_unstemmed Solving ordinary differential equation (ODE) using least square method: Application of steepest descent method
title_sort Solving ordinary differential equation (ODE) using least square method: Application of steepest descent method
publishDate 2019
container_title International Journal of Recent Technology and Engineering
container_volume 7
container_issue 5
doi_str_mv
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85070317414&partnerID=40&md5=28cad176b3e04d47f3bd6a32b5d10cf7
description An ordinary differential equation (ODE) is an equation and techniques that is widely used in mathematical modelling and the most mathematical formulations used in physical laws. One of the useful numerical method to solve non-homogeneous second order linear ODE is the least square method (LSM). However, the LSM requires to the use of the inverse matrix to find the solution. Hence to prevent this difficulties, this paper seeks to solve ODE by using LSM with an application of optimization method using steepest descent (SD) method. © BEIESP.
publisher Blue Eyes Intelligence Engineering and Sciences Publication
issn 22773878
language English
format Article
accesstype
record_format scopus
collection Scopus
_version_ 1809677905221910528

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