Numerical solution of one-phase Stefan problem for the non-classical heat equation with a convective condition

نویسندگان

1 Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.

2 Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.

doi
10.22034/cmde.2023.54177.2266
چکیده

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.