TY - JOUR
ID - 16318
TI - Numerical solution of one-phase Stefan problem for the non-classical heat equation with a convective condition
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Pishnamaz Mohammadi, Seyed Shojaeddin
AU - Ivaz, Karim
AD - Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
Y1 - 2023
PY - 2023
VL - 11
IS - 4
SP - 776
EP - 784
KW - stefan problem
KW - non-classical heat equation
KW - convective condition
KW - Free boundary problem
KW - finite difference method
DO - 10.22034/cmde.2023.54177.2266
N2 - A numerical technique for the solution of the one-phase Stefan problem for the non-classical heat equation with a convective condition is discussed. This approach is based on a scheme introduced in [16]. The compatibility and convergence of the method is proven. Numerical examples round out the discussion.
UR - https://cmde.tabrizu.ac.ir/article_16318.html
L1 - https://cmde.tabrizu.ac.ir/article_16318_aee31b57f9ec89f35b13252f8a53d95b.pdf
ER -