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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Bibliographic Details
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
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Summary: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.
ISSN:22773878