Study of Haar Wavelet Method on Cancer Tumor Growth Models

Subject Areas : Analyze

Somayeh Balouch Arbabi ¹ , Mahdieh Tahami ^{2 *}

1 - Department of Mathematics, Kerman Branch, Islamic Azad university, Kerman, Iran
2 - Department of Mathematics, Kerman Branch, Islamic Azad university, Kerman, Iran

Received: 2024-04-23 Accepted : 2024-09-09 Published : 2025-09-23

Keywords: Haar wavelets, Growth tumor model, Numerical solution, Killing rate,

Abstract :

In this paper, two different mathematical models for the growth of cancer tumors are considered. In the first model, the net rate of cancer cell decay is only dependent on time, but the second model is such that this rate is only dependent on the concentration of cells. In this article, the numerical solution of both models is presented with the help of Haar wavelet method. It is also shown that the Harr wavelet method is a convergent method with a convergence order of 2. In this research, using Maple software and with symbolic calculations, it is shown that the Harr wavelet method can be used for a wide range of epidemic models. Also, Figures 1 and 2 show that the results are closer to reality in some periods of time. This important result is completely consistent with Shi et al.'s work [18] and shows the efficiency of this method.

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