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Title
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Nonstandard finite difference scheme with positivity property: Application to Cancer growth model
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Type
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Presentation
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Keywords
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Cross-diffusion equations, Positivity, Nonstandard finite difference, Cancer growth model.
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Abstract
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In this work, we introduce explicit finite difference scheme based on the nonstandard discretization method to approximate solution of the cross-diffusion system from bioscience. The proposed scheme improve the accuracy and guarantee the positivity requirement, as is demanded for the solution of such system. We apply the new method for numerical integration of the cancer growth model for illustrating the performance of it.
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Researchers
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(Second Researcher), Mohammad Mehdizadeh (First Researcher)
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