期刊
ENTROPY
卷 19, 期 7, 页码 -出版社
MDPI
DOI: 10.3390/e19070375
关键词
Nonlinear fractional dynamical model of interpersonal and romantic relationship; Caputo fractional derivative; q-homotopy analysis method; Sumudu transform; Adomian's decomposition method
资金
- ISPP at King Saud University [63]
In this paper, we propose a new numerical algorithm, namely q-homotopy analysis Sumudu transform method (q-HASTM), to obtain the approximate solution for the nonlinear fractional dynamical model of interpersonal and romantic relationships. The suggested algorithm examines the dynamics of love affairs between couples. The q-HASTM is a creative combination of Sumudu transform technique, q-homotopy analysis method and homotopy polynomials that makes the calculation very easy. To compare the results obtained by using q-HASTM, we solve the same nonlinear problem by Adomian's decomposition method (ADM). The convergence of the q-HASTM series solution for the model is adapted and controlled by auxiliary parameter h and asymptotic parameter n. The numerical results are demonstrated graphically and in tabular form. The result obtained by employing the proposed scheme reveals that the approach is very accurate, effective, flexible, simple to apply and computationally very nice.
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