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Two-point diagonally implicit multistep block method for solving Robin boundary value problems using variable step size strategy

This study focuses on the multistep integration method for approximating directly the solutions of the second order boundary value problems (BVPs) with Robin boundary conditions. The derivation of the predictor and corrector formulas uses Lagrange interpolation polynomial in the form of Adam's...

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Main Authors: Nadirah, Mohd Nasir, Zanariah, Abdul Majid, Fudziah, Ismail, Norfifah, Bachok
Format: Article
Language:English
Published: Akademi Sains Malaysia 2019
Subjects:
QA Mathematics
Online Access:http://umpir.ump.edu.my/id/eprint/32341/1/PAPER%202.pdf
http://umpir.ump.edu.my/id/eprint/32341/
https://www.akademisains.gov.my/asmsj/?mdocs-file=4149
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spelling my.ump.umpir.323412021-11-05T07:36:30Z http://umpir.ump.edu.my/id/eprint/32341/ Two-point diagonally implicit multistep block method for solving Robin boundary value problems using variable step size strategy Nadirah, Mohd Nasir Zanariah, Abdul Majid Fudziah, Ismail Norfifah, Bachok QA Mathematics This study focuses on the multistep integration method for approximating directly the solutions of the second order boundary value problems (BVPs) with Robin boundary conditions. The derivation of the predictor and corrector formulas uses Lagrange interpolation polynomial in the form of Adam's method. Two numerical solutions are computed concurrently within a block method with non-uniformly step size. The implementation of multistep block method follows the m PE(CE) procedure via shooting technique. Newton divided difference interpolation method is used during the iterative process for estimating the guessing values. The properties including the order, zerostable and stability region of the proposed method are discussed. Numerical examples are given to demonstrate the computational efficiency of the developed method. Akademi Sains Malaysia 2019 Article PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/32341/1/PAPER%202.pdf Nadirah, Mohd Nasir and Zanariah, Abdul Majid and Fudziah, Ismail and Norfifah, Bachok (2019) Two-point diagonally implicit multistep block method for solving Robin boundary value problems using variable step size strategy. ASM Science Journal, 12 (Spe. Issue 5). pp. 10-16. ISSN 1823-6782 https://www.akademisains.gov.my/asmsj/?mdocs-file=4149
institution Universiti Malaysia Pahang
building UMP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Pahang
content_source UMP Institutional Repository
url_provider http://umpir.ump.edu.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Nadirah, Mohd Nasir
Zanariah, Abdul Majid
Fudziah, Ismail
Norfifah, Bachok
Two-point diagonally implicit multistep block method for solving Robin boundary value problems using variable step size strategy
description This study focuses on the multistep integration method for approximating directly the solutions of the second order boundary value problems (BVPs) with Robin boundary conditions. The derivation of the predictor and corrector formulas uses Lagrange interpolation polynomial in the form of Adam's method. Two numerical solutions are computed concurrently within a block method with non-uniformly step size. The implementation of multistep block method follows the m PE(CE) procedure via shooting technique. Newton divided difference interpolation method is used during the iterative process for estimating the guessing values. The properties including the order, zerostable and stability region of the proposed method are discussed. Numerical examples are given to demonstrate the computational efficiency of the developed method.
format Article
author Nadirah, Mohd Nasir
Zanariah, Abdul Majid
Fudziah, Ismail
Norfifah, Bachok
author_facet Nadirah, Mohd Nasir
Zanariah, Abdul Majid
Fudziah, Ismail
Norfifah, Bachok
author_sort Nadirah, Mohd Nasir
title Two-point diagonally implicit multistep block method for solving Robin boundary value problems using variable step size strategy
title_short Two-point diagonally implicit multistep block method for solving Robin boundary value problems using variable step size strategy
title_full Two-point diagonally implicit multistep block method for solving Robin boundary value problems using variable step size strategy
title_fullStr Two-point diagonally implicit multistep block method for solving Robin boundary value problems using variable step size strategy
title_full_unstemmed Two-point diagonally implicit multistep block method for solving Robin boundary value problems using variable step size strategy
title_sort two-point diagonally implicit multistep block method for solving robin boundary value problems using variable step size strategy
publisher Akademi Sains Malaysia
publishDate 2019
url http://umpir.ump.edu.my/id/eprint/32341/1/PAPER%202.pdf
http://umpir.ump.edu.my/id/eprint/32341/
https://www.akademisains.gov.my/asmsj/?mdocs-file=4149
_version_ 1717093640596094976
score 13.211869

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