Hybrid Fibonacci wavelet method to solve fractional-order logistic growth model

被引:18
|
作者
Ahmed, Shahid [1 ]
Jahan, Shah [1 ,3 ]
Nisar, Kottakkaran S. [2 ]
机构
[1] Cent Univ Haryana, Dept Math, Mahendragarh, India
[2] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Alkharj, Dept Math, Alkharj, Saudi Arabia
[3] Cent Univ Haryana, Dept Math, Mahendragarh 123029, India
关键词
Fibonacci wavelet; fractional calculus; logistic equation; operational matrices; quasi-linearization;
D O I
10.1002/mma.9446
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
收藏
页码:16218 / 16231
页数:14
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