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Journal of Mathematical Modeling، جلد ۸، شماره ۴، صفحات ۴۵۵-۴۷۷
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عنوان فارسی |
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چکیده فارسی مقاله |
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کلیدواژههای فارسی مقاله |
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عنوان انگلیسی |
Regularity analysis and numerical resolution of the Pharmacokinetics (PK) equation for cisplatin with random coefficients and initial conditions |
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چکیده انگلیسی مقاله |
In this paper, we study the pharmacokinetics equation for cisplatin (PKC) with random coefficients and initial conditions using the Stochastic Collocation method. We analyze the regularity of the solution with respect to the random variables. The error estimate for the Stochastic Collocation method is proved using the regularity result and the error estimate for the Finite Difference method. Then, we provide the overall errors estimate and convergence is achieved as a direct result. Some numerical results are simulated to illustrate the theoretical analysis. We also propose a comparison between the stochastic and determinate solving process of PKC equation where we show the efficiency of our adopted method. |
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کلیدواژههای انگلیسی مقاله |
Pharmacokinetics (PK) equation for cisplatin, stochastic collocation, Finite difference method, uncertainty quantification |
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نویسندگان مقاله |
Saadeddine Essarrout | Department of science computing, University Ibn Zohr, Agadir, Morocco
Said Raghay | Department of Mathematics, University Cadi Ayyad, Marrakech, Morocco
Zouhir Mahani | Department of science computing, University Ibn Zohr, Agadir, Morocco
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نشانی اینترنتی |
https://jmm.guilan.ac.ir/article_4173_5f82b702df359a9ee39fe6f1e3a426b1.pdf |
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زبان مقاله منتشر شده |
en |
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