Numerical Solution of Newell-Whitehead-Segel Partial Differential Equation by Finite Difference Methods
This work presents two different finite difference methods, which are implicit finite difference method and fully implicit finite difference method to compute the numerical solutions for Newell-Whitehead-Segel partial differential equation. Newton's method is used in fully implicit finite...
| Main Authors: | , , |
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| Format: | Article |
| Language: | Arabic |
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Tishreen University
2019-04-01
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| Series: | مجلة جامعة تشرين للبحوث والدراسات العلمية، سلسلة العلوم الأساسية |
| Online Access: | http://www.journal.tishreen.edu.sy/index.php/bassnc/article/view/8651 |
| _version_ | 1797420958662787072 |
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| author | Sami Injrou Ramez Karoum Nayrouz Hilal |
| author_facet | Sami Injrou Ramez Karoum Nayrouz Hilal |
| author_sort | Sami Injrou |
| collection | DOAJ |
| description |
This work presents two different finite difference methods, which are implicit finite difference method and fully implicit finite difference method to compute the numerical solutions for Newell-Whitehead-Segel partial differential equation. Newton's method is used in fully implicit finite difference scheme, because this scheme leads to a system of nonlinear equations. Two different problems are solved by the both previous proposed methods. The results show the accuracy of the numerical solution and its agreement with the exact solution.
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| first_indexed | 2024-03-09T07:10:03Z |
| format | Article |
| id | doaj.art-1bc3c59e10a145c9b6d2df3a0d5f4d85 |
| institution | Directory Open Access Journal |
| issn | 2079-3057 2663-4252 |
| language | Arabic |
| last_indexed | 2024-03-09T07:10:03Z |
| publishDate | 2019-04-01 |
| publisher | Tishreen University |
| record_format | Article |
| series | مجلة جامعة تشرين للبحوث والدراسات العلمية، سلسلة العلوم الأساسية |
| spelling | doaj.art-1bc3c59e10a145c9b6d2df3a0d5f4d852023-12-03T09:08:26ZaraTishreen Universityمجلة جامعة تشرين للبحوث والدراسات العلمية، سلسلة العلوم الأساسية2079-30572663-42522019-04-01412Numerical Solution of Newell-Whitehead-Segel Partial Differential Equation by Finite Difference MethodsSami InjrouRamez Karoum Nayrouz Hilal This work presents two different finite difference methods, which are implicit finite difference method and fully implicit finite difference method to compute the numerical solutions for Newell-Whitehead-Segel partial differential equation. Newton's method is used in fully implicit finite difference scheme, because this scheme leads to a system of nonlinear equations. Two different problems are solved by the both previous proposed methods. The results show the accuracy of the numerical solution and its agreement with the exact solution. http://www.journal.tishreen.edu.sy/index.php/bassnc/article/view/8651 |
| spellingShingle | Sami Injrou Ramez Karoum Nayrouz Hilal Numerical Solution of Newell-Whitehead-Segel Partial Differential Equation by Finite Difference Methods مجلة جامعة تشرين للبحوث والدراسات العلمية، سلسلة العلوم الأساسية |
| title | Numerical Solution of Newell-Whitehead-Segel Partial Differential Equation by Finite Difference Methods |
| title_full | Numerical Solution of Newell-Whitehead-Segel Partial Differential Equation by Finite Difference Methods |
| title_fullStr | Numerical Solution of Newell-Whitehead-Segel Partial Differential Equation by Finite Difference Methods |
| title_full_unstemmed | Numerical Solution of Newell-Whitehead-Segel Partial Differential Equation by Finite Difference Methods |
| title_short | Numerical Solution of Newell-Whitehead-Segel Partial Differential Equation by Finite Difference Methods |
| title_sort | numerical solution of newell whitehead segel partial differential equation by finite difference methods |
| url | http://www.journal.tishreen.edu.sy/index.php/bassnc/article/view/8651 |
| work_keys_str_mv | AT samiinjrou numericalsolutionofnewellwhiteheadsegelpartialdifferentialequationbyfinitedifferencemethods AT ramezkaroum numericalsolutionofnewellwhiteheadsegelpartialdifferentialequationbyfinitedifferencemethods AT nayrouzhilal numericalsolutionofnewellwhiteheadsegelpartialdifferentialequationbyfinitedifferencemethods |