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Solution of one-dimensional boundary value problem by using redlich-kister polynomial

In this paper, the Redlich-Kister (RK) polynomial interpolation have been formulated and analyzed in solving two-point boundary value problems (BVPs). The Redlich-Kister polynomial interpolation is tested with certain number of different sizes and compared with Cubic Trigonometry B-Spline Interpolat...

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Main Authors: Mohd Norfadli Suardi, Jumat Sulaiman
Format: Conference or Workshop Item
Language:English
English
Published: 2021
Subjects:
Q Science (General)
QA Mathematics
Online Access:https://eprints.ums.edu.my/id/eprint/30198/5/Solution%20of%20one-dimensional%20boundary%20value%20problem%20by%20using%20redlich-kister%20polynomial-%20Abstract.pdf
https://eprints.ums.edu.my/id/eprint/30198/2/Solution%20of%20One-Dimensional%20Boundary%20Value%20Problem%20by%20Using%20Redlich-Kister%20Polynomial.pdf
https://eprints.ums.edu.my/id/eprint/30198/
https://link.springer.com/chapter/10.1007%2F978-981-33-4069-5_40
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spelling my.ums.eprints.301982021-08-01T03:15:12Z https://eprints.ums.edu.my/id/eprint/30198/ Solution of one-dimensional boundary value problem by using redlich-kister polynomial Mohd Norfadli Suardi Jumat Sulaiman Q Science (General) QA Mathematics In this paper, the Redlich-Kister (RK) polynomial interpolation have been formulated and analyzed in solving two-point boundary value problems (BVPs). The Redlich-Kister polynomial interpolation is tested with certain number of different sizes and compared with Cubic Trigonometry B-Spline Interpolation Method (CTBIM) and Power Polynomial (Power). To do that, the discretization process of BVPs by imposing the generated RK dense linear system. Then this dense linear system need to be solved via direct method to determine the approximate value of unknown coefficients in which these coefficient are used to form the RK approximation function. Based on the maximum norm (MaxNorm) and L2-Norm, the results showed that the solution by using the RK approximate function is the more accurate compared with CTBIM and Power methods. 2021-03-16 Conference or Workshop Item PeerReviewed text en https://eprints.ums.edu.my/id/eprint/30198/5/Solution%20of%20one-dimensional%20boundary%20value%20problem%20by%20using%20redlich-kister%20polynomial-%20Abstract.pdf text en https://eprints.ums.edu.my/id/eprint/30198/2/Solution%20of%20One-Dimensional%20Boundary%20Value%20Problem%20by%20Using%20Redlich-Kister%20Polynomial.pdf Mohd Norfadli Suardi and Jumat Sulaiman (2021) Solution of one-dimensional boundary value problem by using redlich-kister polynomial. In: International Conference on Computational Science and Technology, ICCST 2020, 29 - 30 August 2020, Pattaya, Thailand. https://link.springer.com/chapter/10.1007%2F978-981-33-4069-5_40
institution Universiti Malaysia Sabah
building UMS Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Sabah
content_source UMS Institutional Repository
url_provider http://eprints.ums.edu.my/
language English
English
topic Q Science (General)
QA Mathematics
spellingShingle Q Science (General)
QA Mathematics
Mohd Norfadli Suardi
Jumat Sulaiman
Solution of one-dimensional boundary value problem by using redlich-kister polynomial
description In this paper, the Redlich-Kister (RK) polynomial interpolation have been formulated and analyzed in solving two-point boundary value problems (BVPs). The Redlich-Kister polynomial interpolation is tested with certain number of different sizes and compared with Cubic Trigonometry B-Spline Interpolation Method (CTBIM) and Power Polynomial (Power). To do that, the discretization process of BVPs by imposing the generated RK dense linear system. Then this dense linear system need to be solved via direct method to determine the approximate value of unknown coefficients in which these coefficient are used to form the RK approximation function. Based on the maximum norm (MaxNorm) and L2-Norm, the results showed that the solution by using the RK approximate function is the more accurate compared with CTBIM and Power methods.
format Conference or Workshop Item
author Mohd Norfadli Suardi
Jumat Sulaiman
author_facet Mohd Norfadli Suardi
Jumat Sulaiman
author_sort Mohd Norfadli Suardi
title Solution of one-dimensional boundary value problem by using redlich-kister polynomial
title_short Solution of one-dimensional boundary value problem by using redlich-kister polynomial
title_full Solution of one-dimensional boundary value problem by using redlich-kister polynomial
title_fullStr Solution of one-dimensional boundary value problem by using redlich-kister polynomial
title_full_unstemmed Solution of one-dimensional boundary value problem by using redlich-kister polynomial
title_sort solution of one-dimensional boundary value problem by using redlich-kister polynomial
publishDate 2021
url https://eprints.ums.edu.my/id/eprint/30198/5/Solution%20of%20one-dimensional%20boundary%20value%20problem%20by%20using%20redlich-kister%20polynomial-%20Abstract.pdf
https://eprints.ums.edu.my/id/eprint/30198/2/Solution%20of%20One-Dimensional%20Boundary%20Value%20Problem%20by%20Using%20Redlich-Kister%20Polynomial.pdf
https://eprints.ums.edu.my/id/eprint/30198/
https://link.springer.com/chapter/10.1007%2F978-981-33-4069-5_40
_version_ 1760230731369414656
score 13.222552

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