University of TabrizComputational Methods for Differential Equations2345-398211420230701Numerical solution of one-phase Stefan problem for the non-classical heat equation with a convective condition7767841631810.22034/cmde.2023.54177.2266ENSeyed ShojaeddinPishnamaz MohammadiDepartment of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.KarimIvazDepartment of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.Journal Article20221119A 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.https://cmde.tabrizu.ac.ir/article_16318_aee31b57f9ec89f35b13252f8a53d95b.pdf