期刊
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
卷 46, 期 15, 页码 16218-16231出版社
WILEY
DOI: 10.1002/mma.9446
关键词
Fibonacci wavelet; fractional calculus; logistic equation; operational matrices; quasi-linearization
The aim of this study is to develop the Fibonacci wavelet method together with the quasi-linearization technique to solve the fractional-order logistic growth model. The block-pulse functions are employed to construct the operational matrices of fractional-order integration. The present time-fractional population growth model is converted into a set of nonlinear algebraic equations using the proposed generated matrices. Numerical simulations are conducted to show the reliability and use of the suggested approach when contrasted with methods from the existing literature.
The aim of this study is to develop the Fibonacci wavelet method together with the quasi-linearization technique to solve the fractional-order logistic growth model. The block-pulse functions are employed to construct the operational matrices of fractional-order integration. The fractional derivative is described in the Caputo sense. The present time-fractional population growth model is converted into a set of nonlinear algebraic equations using the proposed generated matrices. Making use of the quasi-linearization technique, the underlying equations are then changed to a set of linear equations. Numerical simulations are conducted to show the reliability and use of the suggested approach when contrasted with methods from the existing literature. A comparison of several numerical techniques from the available literature is presented to show the efficacy and correctness of the suggested approach.
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