Geodesic
An iterative algorithm for solving an initial-boundary value problem for a quasi-linear model of complex heat transfer
Dalʹnevostočnyj matematičeskij žurnal, Tome 23 (2023) no. 2, pp. 240-245

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An initial-boundary value problem for a system of quasilinear equations of radiative-conductive heat transfer, simulating the process of endovenous laser ablation, is considered. An algorithm for finding its solution is proposed and its convergence is proved. The efficiency of the algorithm is illustrated by numerical experiments. 
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     author = {N. M. Park and A. E. Kovtanyuk},
     title = {An iterative algorithm for solving an initial-boundary value problem for a quasi-linear model of complex heat transfer},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
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     publisher = {mathdoc},
     volume = {23},
     number = {2},
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     url = {http://geodesic.mathdoc.fr/item/DVMG_2023_23_2_a8/}
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N. M. Park; A. E. Kovtanyuk. An iterative algorithm for solving an initial-boundary value problem for a quasi-linear model of complex heat transfer. Dalʹnevostočnyj matematičeskij žurnal, Tome 23 (2023) no. 2, pp. 240-245. http://geodesic.mathdoc.fr/item/DVMG_2023_23_2_a8/