A New Technique for Solving Neutral Delay Differential Equations Based on Euler Wavelets
An effective numerical scheme based on Euler wavelets is proposed for numerically solving a class of neutral delay differential equations. The technique explores the numerical solution via Euler wavelet truncated series generated by a set of functions and matrix inversion of some collocation points....
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2022/1753992 |
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| _version_ | 1832546763241684992 |
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| author | Mutaz Mohammad Alexander Trounev |
| author_facet | Mutaz Mohammad Alexander Trounev |
| author_sort | Mutaz Mohammad |
| collection | DOAJ |
| description | An effective numerical scheme based on Euler wavelets is proposed for numerically solving a class of neutral delay differential equations. The technique explores the numerical solution via Euler wavelet truncated series generated by a set of functions and matrix inversion of some collocation points. Based on the operational matrix, the neutral delay differential equations are reduced to a system of algebraic equations, which is solved through a numerical algorithm. The effectiveness and efficiency of the technique have been illustrated by several examples of neutral delay differential equations. The main advantages and key role of using the Euler wavelets in this work lie in the performance, accuracy, and computational cost of the proposed technique. |
| format | Article |
| id | doaj-art-c24b9a3099454c42b446f0c8d7193ab9 |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-c24b9a3099454c42b446f0c8d7193ab92025-02-03T06:47:21ZengWileyComplexity1099-05262022-01-01202210.1155/2022/1753992A New Technique for Solving Neutral Delay Differential Equations Based on Euler WaveletsMutaz Mohammad0Alexander Trounev1Zayed UniversityKuban State Agrarian UniversityAn effective numerical scheme based on Euler wavelets is proposed for numerically solving a class of neutral delay differential equations. The technique explores the numerical solution via Euler wavelet truncated series generated by a set of functions and matrix inversion of some collocation points. Based on the operational matrix, the neutral delay differential equations are reduced to a system of algebraic equations, which is solved through a numerical algorithm. The effectiveness and efficiency of the technique have been illustrated by several examples of neutral delay differential equations. The main advantages and key role of using the Euler wavelets in this work lie in the performance, accuracy, and computational cost of the proposed technique.http://dx.doi.org/10.1155/2022/1753992 |
| spellingShingle | Mutaz Mohammad Alexander Trounev A New Technique for Solving Neutral Delay Differential Equations Based on Euler Wavelets Complexity |
| title | A New Technique for Solving Neutral Delay Differential Equations Based on Euler Wavelets |
| title_full | A New Technique for Solving Neutral Delay Differential Equations Based on Euler Wavelets |
| title_fullStr | A New Technique for Solving Neutral Delay Differential Equations Based on Euler Wavelets |
| title_full_unstemmed | A New Technique for Solving Neutral Delay Differential Equations Based on Euler Wavelets |
| title_short | A New Technique for Solving Neutral Delay Differential Equations Based on Euler Wavelets |
| title_sort | new technique for solving neutral delay differential equations based on euler wavelets |
| url | http://dx.doi.org/10.1155/2022/1753992 |
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