Academic Journal
Vieta–Lucas matrix approach for the numeric estimation of hyperbolic partial differential equations
| العنوان: | Vieta–Lucas matrix approach for the numeric estimation of hyperbolic partial differential equations |
|---|---|
| المؤلفون: | Siddharth Sharma, Anu Bala, Shivani Aeri, Rakesh Kumar, Kottakkaran Sooppy Nisar |
| المصدر: | Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100770- (2024) |
| بيانات النشر: | Elsevier, 2024. |
| سنة النشر: | 2024 |
| المجموعة: | LCC:Applied mathematics. Quantitative methods |
| مصطلحات موضوعية: | Hyperbolic partial differential equations, Vieta–Lucas polynomials, Tau method, Numerical solution, Applied mathematics. Quantitative methods, T57-57.97 |
| الوصف: | This study is focused on the hyperbolic partial differential equations (HPDEs) to obtain their numerical solution. Here, the Vieta–Lucas Tau operational approach (VLTM) is proposed and utilized to solve the initial value problems related to HPDEs. In this approach, shifted Vieta–Lucas polynomials (SVLPs) are employed as the basis functions to assume the general solution. The integral and derivative operational matrices for SVLPs are built over a generalized domain. These operational matrices are used to convert this problem into a collection of algebraic equations. The examination of the convergence errors is well covered. The projected accuracy and efficacy of the method are confirmed when several cases are taken into account. Excellent agreement between exact and estimated findings is obtained, and in certain situations, estimated values are remarkably accurate. Finally, we can state that the VLTM method is dependable, efficient, precise, and easy to use. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 2666-8181 |
| Relation: | http://www.sciencedirect.com/science/article/pii/S2666818124001566; https://doaj.org/toc/2666-8181 |
| DOI: | 10.1016/j.padiff.2024.100770 |
| URL الوصول: | https://doaj.org/article/da225d31d5a0407f8a2f5dc17bd17581 |
| رقم الانضمام: | edsdoj.225d31d5a0407f8a2f5dc17bd17581 |
| قاعدة البيانات: | Directory of Open Access Journals |
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