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Investigation of a Drug Release Moving Boundary Problem in a Swelling Polymeric Device

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Abstract

This paper considers a drug delivery polymeric device in contact with a solvent as a nonlinear moving boundary problem. In this problem, the drug concentration and unknown moving boundary must be determined. First, the positivity and uniqueness of the solution are proved. Then, the main problem is considered iterative, and a backward stable finite difference technique is used to treat the problem numerically. Eventually, some numerical simulations are involved in exhibiting the ability of the method and the soundness of the theoretical results.

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Acknowledgements

The author is grateful to anonymous referees and the handling editor for their helpful comments, which directly contribute to the readability and reliability of the current paper.

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  1. School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran

    Morteza Garshasbi & Shadi Malek Bagomghaleh

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  1. Morteza Garshasbi
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  2. Shadi Malek Bagomghaleh
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Correspondence to Morteza Garshasbi.

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Garshasbi, M., Bagomghaleh, S.M. Investigation of a Drug Release Moving Boundary Problem in a Swelling Polymeric Device. Int. J. Appl. Comput. Math 8, 73 (2022). https://doi.org/10.1007/s40819-022-01281-w

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