Haar wavelet method for solving stiff differential equations
Application of the Haar wavelet approach for solving stiff differential equations is discussed. Solution of singular perturbation problems is also considered. Efficiency of the recommended method is demonstrated by means of four numerical examples, mostly taken from well‐known textbooks. First pu...
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2009-12-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/6570 |
| _version_ | 1818888240533340160 |
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| author | Ülo Lepik |
| author_facet | Ülo Lepik |
| author_sort | Ülo Lepik |
| collection | DOAJ |
| description | Application of the Haar wavelet approach for solving stiff differential equations is discussed. Solution of singular perturbation problems is also considered. Efficiency of the recommended method is demonstrated by means of four numerical examples, mostly taken from well‐known textbooks.
First published online: 14 Oct 2010 |
| first_indexed | 2024-12-19T16:49:59Z |
| format | Article |
| id | doaj.art-b50cd18b3ac5453fba307be3cc3c40f5 |
| institution | Directory Open Access Journal |
| issn | 1392-6292 1648-3510 |
| language | English |
| last_indexed | 2024-12-19T16:49:59Z |
| publishDate | 2009-12-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj.art-b50cd18b3ac5453fba307be3cc3c40f52022-12-21T20:13:34ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102009-12-0114410.3846/1392-6292.2009.14.467-481Haar wavelet method for solving stiff differential equationsÜlo Lepik0Institute of Mathematics, Tartu University, Estonia Liivi 2, 50409 Tartu, EstoniaApplication of the Haar wavelet approach for solving stiff differential equations is discussed. Solution of singular perturbation problems is also considered. Efficiency of the recommended method is demonstrated by means of four numerical examples, mostly taken from well‐known textbooks. First published online: 14 Oct 2010https://journals.vgtu.lt/index.php/MMA/article/view/6570stiff differential equationshaar waveletsnumerical solutionnonlinear problemssingular perturbation problems |
| spellingShingle | Ülo Lepik Haar wavelet method for solving stiff differential equations Mathematical Modelling and Analysis stiff differential equations haar wavelets numerical solution nonlinear problems singular perturbation problems |
| title | Haar wavelet method for solving stiff differential equations |
| title_full | Haar wavelet method for solving stiff differential equations |
| title_fullStr | Haar wavelet method for solving stiff differential equations |
| title_full_unstemmed | Haar wavelet method for solving stiff differential equations |
| title_short | Haar wavelet method for solving stiff differential equations |
| title_sort | haar wavelet method for solving stiff differential equations |
| topic | stiff differential equations haar wavelets numerical solution nonlinear problems singular perturbation problems |
| url | https://journals.vgtu.lt/index.php/MMA/article/view/6570 |
| work_keys_str_mv | AT ulolepik haarwaveletmethodforsolvingstiffdifferentialequations |