التفاصيل البيبلوغرافية
| العنوان: |
A least squares finite element method for time fractional telegraph equation with Vieta-Lucas basis functions |
| المؤلفون: |
Ebimene James Mamadu, Henrietta Ify Ojarikre, Simon Ajiroghene Ogumeyo, Daniel Chinedu Iweobodo, Ebikonbo-Owei Anthony Mamadu, Jonathan Tsetimi, Ignatius Nkonyeasua Njoseh |
| المصدر: |
Scientific African, Vol 24, Iss , Pp e02170- (2024) |
| بيانات النشر: |
Elsevier, 2024. |
| سنة النشر: |
2024 |
| المجموعة: |
LCC:Science |
| مصطلحات موضوعية: |
Telegraph equation, Conjugate gradient method, Finite element method, Orthogonal polynomials, Vieta-Lucas polynomials, Fractional calculus, Science |
| الوصف: |
We proposed a Least Squares Finite Element Method (LSFEM) for the approximate solution of Time fractional telegraph equation (TFTE). The method implemented the Vieta-Lucas polynomials expressed in the Caputo fractional sense as basis functions. The LSFEM reduces the TFTE into algebraic system with element matrices and vectors, while the Conjugate Gradient Method (CGM) solved the system for the unknowns with the aid of MAPLE 18. The results generated implies that the proposed method converges favorably to the theoretical solution when the number of elements is large with a large space-time step used for the parameter t. |
| نوع الوثيقة: |
article |
| وصف الملف: |
electronic resource |
| اللغة: |
English |
| تدمد: |
2468-2276 |
| Relation: |
http://www.sciencedirect.com/science/article/pii/S2468227624001157; https://doaj.org/toc/2468-2276 |
| DOI: |
10.1016/j.sciaf.2024.e02170 |
| URL الوصول: |
https://doaj.org/article/3bb83ed2f72a46c6ae558bcc0e06285c |
| رقم الانضمام: |
edsdoj.3bb83ed2f72a46c6ae558bcc0e06285c |
| قاعدة البيانات: |
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