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- Title
Hybrid Fibonacci wavelet method to solve fractional‐order logistic growth model.
- Authors
Ahmed, Shahid; Jahan, Shah; Nisar, Kottakkaran S.
- Abstract
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.
- Subjects
MATRICES (Mathematics); ALGEBRAIC equations; NONLINEAR equations; QUASILINEARIZATION; LINEAR equations; WAVELET transforms
- Publication
Mathematical Methods in the Applied Sciences, 2023, Vol 46, Issue 15, p16218
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.9446