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A numerical scheme for a partial differential system motivated by light-triggered drug delivery - MaRDI portal

A numerical scheme for a partial differential system motivated by light-triggered drug delivery (Q2106209)

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scientific article; zbMATH DE number 7630325
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A numerical scheme for a partial differential system motivated by light-triggered drug delivery
scientific article; zbMATH DE number 7630325

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    A numerical scheme for a partial differential system motivated by light-triggered drug delivery (English)
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    9 December 2022
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    This article discusses a numerical scheme for nonlinear coupled systems of partial differential equations. The approach combines a finite difference method in space with an implicit-explicit method in time. Furthermore, the convergence of the numerical scheme in both \(H^1\) and \(L^2\) norms are analysed. Numerical experiments are included to support the theoretical findings.
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    finite difference method
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    nonlinear stability
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    convergence analysis
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    supraconvergence
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    drug delivery
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    NIR light-responsive
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    numerical simulation
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