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The integral iterative method for approximate solution of Newell-Whitehead-Segel equation / Mat Salim Selamat … [et.al.]

Most numerical methods require very extensive calculations and use very large computer memory. The resulting numerical solution is also very sensitive to any small changes in the parameters present in the differential equation. This paper presents research finding that has been conducted with two ob...

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主要な著者: Selamat, Mat Salim, Khusairi, Nur’atikah, Abdul Gaffar, Nurul Izzaty, Syed Huzaini, Siti Nur Syafiqah
フォーマット: 論文
言語:English
出版事項: Universiti Teknologi MARA, Perak 2022
主題:
QA Mathematics
Difference equations. Functional equations. Delay differential equations. Integral equations
オンライン･アクセス:https://ir.uitm.edu.my/id/eprint/61702/1/61702.pdf
https://ir.uitm.edu.my/id/eprint/61702/
https://mijuitm.com.my/view-articles/
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spelling my.uitm.ir.617022023-06-22T03:07:05Z https://ir.uitm.edu.my/id/eprint/61702/ The integral iterative method for approximate solution of Newell-Whitehead-Segel equation / Mat Salim Selamat … [et.al.] msij Selamat, Mat Salim Khusairi, Nur’atikah Abdul Gaffar, Nurul Izzaty Syed Huzaini, Siti Nur Syafiqah QA Mathematics Difference equations. Functional equations. Delay differential equations. Integral equations Most numerical methods require very extensive calculations and use very large computer memory. The resulting numerical solution is also very sensitive to any small changes in the parameters present in the differential equation. This paper presents research finding that has been conducted with two objectives. First objective is to solve the Newell-Whitehead-Segel (NWS) equation using integral iterative method (IIM). Second objective is to determine the accuracy, reliability and efficiency of IIM by compared to the exact solution and other existing results obtained by other methods such as New Iterative Method (NIM), Adomian decomposition method (ADM) and Laplace Adomian decomposition method (LADM). This iterative method was calculated based on the integral operator, that is the inverse of the differential operator in the problem under consideration. The analytical solution of the equation was calculated in the form of power series solution. Results of this research has identified that the method is simpler in its computational procedures and needs shorter time to be completed than the other methods. It does not require discretization, linearization or any restrictive assumption in order to provide analytical and approximate solution. The technique provides in this research introduced a straightforward and powerful mathematical tool for solving various differential equations. Universiti Teknologi MARA, Perak 2022-05 Article PeerReviewed text en https://ir.uitm.edu.my/id/eprint/61702/1/61702.pdf The integral iterative method for approximate solution of Newell-Whitehead-Segel equation / Mat Salim Selamat … [et.al.]. (2022) Mathematical Sciences and Informatics Journal (MIJ) <https://ir.uitm.edu.my/view/publication/Mathematical_Sciences_and_Informatics_Journal_=28MIJ=29.html>, 3 (1). pp. 1-10. ISSN 2735-0703 https://mijuitm.com.my/view-articles/ 10.24191/mij.v2i2.13009 10.24191/mij.v2i2.13009 10.24191/mij.v2i2.13009
institution Universiti Teknologi Mara
building Tun Abdul Razak Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Mara
content_source UiTM Institutional Repository
url_provider http://ir.uitm.edu.my/
language English
topic QA Mathematics
Difference equations. Functional equations. Delay differential equations. Integral equations
spellingShingle QA Mathematics
Difference equations. Functional equations. Delay differential equations. Integral equations
Selamat, Mat Salim
Khusairi, Nur’atikah
Abdul Gaffar, Nurul Izzaty
Syed Huzaini, Siti Nur Syafiqah
The integral iterative method for approximate solution of Newell-Whitehead-Segel equation / Mat Salim Selamat … [et.al.]
description Most numerical methods require very extensive calculations and use very large computer memory. The resulting numerical solution is also very sensitive to any small changes in the parameters present in the differential equation. This paper presents research finding that has been conducted with two objectives. First objective is to solve the Newell-Whitehead-Segel (NWS) equation using integral iterative method (IIM). Second objective is to determine the accuracy, reliability and efficiency of IIM by compared to the exact solution and other existing results obtained by other methods such as New Iterative Method (NIM), Adomian decomposition method (ADM) and Laplace Adomian decomposition method (LADM). This iterative method was calculated based on the integral operator, that is the inverse of the differential operator in the problem under consideration. The analytical solution of the equation was calculated in the form of power series solution. Results of this research has identified that the method is simpler in its computational procedures and needs shorter time to be completed than the other methods. It does not require discretization, linearization or any restrictive assumption in order to provide analytical and approximate solution. The technique provides in this research introduced a straightforward and powerful mathematical tool for solving various differential equations.
format Article
author Selamat, Mat Salim
Khusairi, Nur’atikah
Abdul Gaffar, Nurul Izzaty
Syed Huzaini, Siti Nur Syafiqah
author_facet Selamat, Mat Salim
Khusairi, Nur’atikah
Abdul Gaffar, Nurul Izzaty
Syed Huzaini, Siti Nur Syafiqah
author_sort Selamat, Mat Salim
title The integral iterative method for approximate solution of Newell-Whitehead-Segel equation / Mat Salim Selamat … [et.al.]
title_short The integral iterative method for approximate solution of Newell-Whitehead-Segel equation / Mat Salim Selamat … [et.al.]
title_full The integral iterative method for approximate solution of Newell-Whitehead-Segel equation / Mat Salim Selamat … [et.al.]
title_fullStr The integral iterative method for approximate solution of Newell-Whitehead-Segel equation / Mat Salim Selamat … [et.al.]
title_full_unstemmed The integral iterative method for approximate solution of Newell-Whitehead-Segel equation / Mat Salim Selamat … [et.al.]
title_sort integral iterative method for approximate solution of newell-whitehead-segel equation / mat salim selamat … [et.al.]
publisher Universiti Teknologi MARA, Perak
publishDate 2022
url https://ir.uitm.edu.my/id/eprint/61702/1/61702.pdf
https://ir.uitm.edu.my/id/eprint/61702/
https://mijuitm.com.my/view-articles/
_version_ 1769846467137110016
score 13.251813

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