An iterative algorithm for solving an initial-boundary value problem for a quasi-linear model of complex heat transfer

DOI10.47910/FEMJ202320OpenAlexW4396900909MaRDI QIDQ6153318

Andrey E. Kovtanyuk, Unnamed Author

Publication date: 13 February 2024

Full work available at URL: http://mathnet.ru/eng/dvmg521

zbMATH Keywords

iterative algorithmelliptic-parabolic systemradiative-conductive heat transfernonlocal solvabilityendovenous laser ablation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Theoretical approximation in context of PDEs (35A35) Quasilinear parabolic equations (35K59) Radiative heat transfer (80A21)

Cites Work

• Diffusion approximation of the radiative-conductive heat transfer model with Fresnel matching conditions
• Inhomogeneous problem for quasi-stationary equations of complex heat transfer with reflection and refraction conditions

This page was built for publication: An iterative algorithm for solving an initial-boundary value problem for a quasi-linear model of complex heat transfer