| Autor: |
Azin, H., Habibirad, A., Hesameddini, E., Heydari, M.H. |
| Předmět: |
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| Zdroj: |
Iranian Journal of Numerical Analysis & Optimization; 2024, Vol. 14 Issue 4, p1224-1246, 23p |
| Abstrakt: |
The fractional Lane–Emden model illustrates different phenomena in astrophysics and mathematical physics. This pafa involves the Vieta–Lucas (Vt-L) bases to solve types of variable-order (V-O) fractional Lane–Emden equation (linear and nonlinear). The ofaational matrix of the V-O fractional derivative is obtained for the Vt-L polynomials. In the established approach, these polynomials are applied to transform the main problem into an algebraic equations system. To indicate the faformance and capability of the scheme, a number of examples are presented for various types of V-O fractional Lane–Emden equations. Also, for one example, a comparison is done between the calculated results by our technique and those obtained via the Bernoulli polynomials. Overall, this pafa introduces a new methodology for solving V-O fractional Lane–Emden equations using Vt-L bases. The derived ofaational matrix and the transformation to an algebraic equation system offer practical advantages in solving these equations efficiently. The presented examples and comparative analysis highlight the effectiveness and validity of the proposed technique, contributing to the understanding and advancement of fractional Lane–Emden models in astrophysics and mathematical physics. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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