Homotopy Perturbation Method for Solving Mathematical Model of Brain Tumor Growth
DOI:
https://doi.org/10.54172/m05etc53Keywords:
Brain tumor growth, Burgess equation, Homotopy perturbation methodAbstract
The tumor growth models are vital and efficient tools for treating and diagnosing the disease. Therefore, we will find in this paper an approximate solution to the brain tumor growth model for a variable killing rate under medical treatment by applying the homotopy perturbation method (HPM). This method is both effective and simple, as it doesn’t require the development of any iterative scheme to find a solution to the given equations. We will apply a new homotopy perturbation method (NHPM), which shortens the steps used in HPM by utilizing the first approximate solution to get the exact solution. The efficiency and reliability of the presented methods will be tested using some examples. Additionally, we will calculate the norm errors , and absolute error. Furthermore, we will conduct numerical simulations and generate graphics for this model using the Wolfram Mathematica 13.2 code.
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Copyright (c) 2024 Suhaylah Salem (Author)
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