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| Meshless and Monte Carlo Method for Solving Drug Transport Equations with Random Coefficients |
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| KeyWord:Monte Carlo method, meshless method, drug transport equations, random coefficients |
| Author Name | Affiliation | | Saadeddine Essarrout | Department of Science Computing, University Ibn Zohr, Agadir, Morocco | | Said Raghay | LAMAI, Faculty of Science and Techniques, Cadi Ayyad University, Marrakesh, Morocco | | Zouhir Mahani | Department of Science Computing, University Ibn Zohr, Agadir, Morocco | | Firdaousse Ouallal | LAMAI, Faculty of Science and Techniques, Cadi Ayyad University, Marrakesh, Morocco |
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| Abstract: |
| A combination of the meshless techniques and the Monte Carlo method has been developed for drug transport problems. The governing two-dimensional pharmacokinetic equations with random coefficients are simulated in complex geometric domains. For spatial discretization, the meshless techniques and the Monte Carlo method are integrated in our effective approach. For accurate shape function construction, the Random Point Interpolation Method (RPIM) employed polynomial basis functions. Thorough testing on our problem reveals that decreasing the time step led to an increase in overall accuracy, highlighting the algorithm's efficiency. The successful integration underscores the potential of the present method, providing a hopeful pathway for tackling pharmacokinetic challenges across diverse scientific applications. |
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