Direct 4-point 1-step block method for solving Dirichlet boundary value problem

This paper presents 4-point 1-step block method (4LBVP) to solve the linear 2nd order boundary value problem (BVP) with Dirichlet boundary condition. 4LBVP will solve the linear 2nd order BVP with Dirichlet boundary condition directly without the need to reduce it first into the system of 1st order...

Full description

Main Authors: Hasni, M.M., Majid, Z.A., Senu, N.
Format: Conference or Workshop Item
Institution: Universiti Teknologi Petronas
Record Id / ISBN-0: utp-eprints.30740 /
Published: Institute of Electrical and Electronics Engineers Inc. 2015
Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84964678930&doi=10.1109%2fICREM.2015.7357030&partnerID=40&md5=ad615bed95caf0ee905b067a654cbd5c
http://eprints.utp.edu.my/30740/
Tags: Add Tag
No Tags, Be the first to tag this record!
id utp-eprints.30740
recordtype eprints
spelling utp-eprints.307402022-03-25T07:16:17Z Direct 4-point 1-step block method for solving Dirichlet boundary value problem Hasni, M.M. Majid, Z.A. Senu, N. This paper presents 4-point 1-step block method (4LBVP) to solve the linear 2nd order boundary value problem (BVP) with Dirichlet boundary condition. 4LBVP will solve the linear 2nd order BVP with Dirichlet boundary condition directly without the need to reduce it first into the system of 1st order equations. 4LBVP will produce several numerical solutions simultaneously in one step. The formulation of the 4LBVP will be based on the Lagrange interpolating polynomial. 4LBVP will be used together with the linear shooting technique to produce the numerical solutions. Comparison with other methods will be given to show the advantages of this method. © 2015 IEEE. Institute of Electrical and Electronics Engineers Inc. 2015 Conference or Workshop Item NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-84964678930&doi=10.1109%2fICREM.2015.7357030&partnerID=40&md5=ad615bed95caf0ee905b067a654cbd5c Hasni, M.M. and Majid, Z.A. and Senu, N. (2015) Direct 4-point 1-step block method for solving Dirichlet boundary value problem. In: UNSPECIFIED. http://eprints.utp.edu.my/30740/
institution Universiti Teknologi Petronas
collection UTP Institutional Repository
description This paper presents 4-point 1-step block method (4LBVP) to solve the linear 2nd order boundary value problem (BVP) with Dirichlet boundary condition. 4LBVP will solve the linear 2nd order BVP with Dirichlet boundary condition directly without the need to reduce it first into the system of 1st order equations. 4LBVP will produce several numerical solutions simultaneously in one step. The formulation of the 4LBVP will be based on the Lagrange interpolating polynomial. 4LBVP will be used together with the linear shooting technique to produce the numerical solutions. Comparison with other methods will be given to show the advantages of this method. © 2015 IEEE.
format Conference or Workshop Item
author Hasni, M.M.
Majid, Z.A.
Senu, N.
spellingShingle Hasni, M.M.
Majid, Z.A.
Senu, N.
Direct 4-point 1-step block method for solving Dirichlet boundary value problem
author_sort Hasni, M.M.
title Direct 4-point 1-step block method for solving Dirichlet boundary value problem
title_short Direct 4-point 1-step block method for solving Dirichlet boundary value problem
title_full Direct 4-point 1-step block method for solving Dirichlet boundary value problem
title_fullStr Direct 4-point 1-step block method for solving Dirichlet boundary value problem
title_full_unstemmed Direct 4-point 1-step block method for solving Dirichlet boundary value problem
title_sort direct 4-point 1-step block method for solving dirichlet boundary value problem
publisher Institute of Electrical and Electronics Engineers Inc.
publishDate 2015
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-84964678930&doi=10.1109%2fICREM.2015.7357030&partnerID=40&md5=ad615bed95caf0ee905b067a654cbd5c
http://eprints.utp.edu.my/30740/
_version_ 1741197459058589696
score 11.62408

Similar Items