Numerical solution of the inverse problem for the diffusion equation under spherical symmetry

DOI10.1007/S10598-015-9289-7zbMath1338.35217OpenAlexW1121179285MaRDI QIDQ295667

S. I. Solovyeva

Publication date: 13 June 2016

Published in: Computational Mathematics and Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10598-015-9289-7

zbMATH Keywords

inverse problemnumerical methodsdiffusion equationspherical symmetryevolution differential equationmathematical model of cardiac excitation processes

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Heat equation (35K05) Initial value problems for higher-order parabolic equations (35K30) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Cites Work

• Numerical solution method for the inverse problem of the modified FitzHugh-Nagumo model
• Inverse problem for the diffusion equation with overdetermination in the form of an external volume potential
• Inverse problem for the diffusion equation in the case of spherical symmetry
• The inverse problem for mathematical models of heart excitation
• Lateral overdetermination of the FitzHugh–Nagumo system
• Computing the Electrical Activity in the Heart

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