Taylor wavelet quasilinearization method for solving tumor growth model of fractional order

Abstract

This study introduces an innovative approach combining Taylor wavelet with quasilinearization, aiming to enhance the fractional-order tumor growth model. To explore the prediction of tumor growth, the fractional order Taylor wavelet (FOTW) technique is employed. Block pulse functions (BPFs) are used for constructing a fractional order operational matrix of integration. Next, the quasilinearization method is employed to transform the given equations into a linear algebraic system of equations. To show the performance of the FOTW based approach, the numerical results are obtained and discussed geometrically. The outcomes show that fractional models work more effectively, and can be further explored.

Keywords

• Block pulse functions
• Fractional order Taylor wavelet
• Tumor model
• Quasilinearization