Complementary extremum principles for a nonlinear model of heat conduction in the human head

DOI10.1007/BF02462204zbMath0453.92005OpenAlexW2072502990WikidataQ52745861 ScholiaQ52745861MaRDI QIDQ1149389

S. H. Smith

Publication date: 1981

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02462204

zbMATH Keywords

human headcomplementary extremum principlesnonlinear model of heat conduction

Mathematics Subject Classification ID

Variational principles of physics (49S05) Physiological, cellular and medical topics (92Cxx)

Related Items (9)

Analytic bounds for solutions of a class of boundary value problems in physiology ⋮ Pointwise solution bounds for a class of singular diffusion problems in physiology ⋮ Numerical modeling of oxygen diffusion in cells with Michaelis-Menten uptake kinetics ⋮ Existence of solutions to some nonlinear diffusion problems ⋮ Successive iteration technique for singular nonlinear system with four-point boundary conditions ⋮ Singular non-linear two-point boundary value problems: existence and uniqueness ⋮ An explicit representation of the three-point Hermite interpolant for the numerical solution of singular boundary value problems ⋮ Existence of monotone or positive solutions of singular second-order sublinear differential equations ⋮ Pointwise bounds for a nonlinear heat conduction model of the human head

Cites Work

• Dual extremum principles and error bounds for a class of boundary value problems
• `` Direct Search Solution of Numerical and Statistical Problems
• Unnamed Item

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