Academic Journal
Spectral shifted Chebyshev collocation technique with residual power series algorithm for time fractional problems
| العنوان: | Spectral shifted Chebyshev collocation technique with residual power series algorithm for time fractional problems |
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| المؤلفون: | Saad. Z. Rida, Anas. A. M. Arafa, Hussein. S. Hussein, Ismail G. Ameen, Marwa. M. M. Mostafa |
| المصدر: | Scientific Reports, Vol 14, Iss 1, Pp 1-14 (2024) |
| بيانات النشر: | Nature Portfolio, 2024. |
| سنة النشر: | 2024 |
| المجموعة: | LCC:Medicine LCC:Science |
| مصطلحات موضوعية: | Shifted Chebyshev polynomials of the second kind, Residual power series algorithm, Fractional derivatives, Hyperbolic equation with time fractional, Time fractional pseudo hyperbolic equations, Numerical results., Medicine, Science |
| الوصف: | Abstract In this paper, two problems involving nonlinear time fractional hyperbolic partial differential equations (PDEs) and time fractional pseudo hyperbolic PDEs with nonlocal conditions are presented. Collocation technique for shifted Chebyshev of the second kind with residual power series algorithm (CTSCSK-RPSA) is the main method for solving these problems. Moreover, error analysis theory is provided in detail. Numerical solutions provided using CTSCSK-RPSA are compared with existing techniques in literature. CTSCSK-RPSA is accurate, simple and convenient method for obtaining solutions of linear and nonlinear physical and engineering problems. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 2045-2322 |
| Relation: | https://doaj.org/toc/2045-2322 |
| DOI: | 10.1038/s41598-024-58493-x |
| URL الوصول: | https://doaj.org/article/1bcfe1d7837b40a3be9cb623afa40988 |
| رقم الانضمام: | edsdoj.1bcfe1d7837b40a3be9cb623afa40988 |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 20452322 |
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| DOI: | 10.1038/s41598-024-58493-x |