A modified variable time step method for solving ice melting problem

Autor:	Boureghda Abdellatif
Rok vydání:	2012
Předmět:	Algebra and Number Theory Applied Mathematics Numerical analysis Mathematical analysis Stefan problem Finite difference method Extrapolation Boundary (topology) Domain (mathematical analysis) symbols.namesake Taylor series symbols Point (geometry) Analysis Mathematics
Zdroj:	Journal of Difference Equations and Applications. 18:1443-1455
ISSN:	1563-5120 1023-6198
Popis:	A modified numerical method was used by authors for solving 1D Stefan problem. In this paper a modified method is proposed with difference formulae and different methods of calculating the variable time step, which are deduced from Taylor series expansions of different conditions at the boundary. Also an extrapolation formula for the solution at the first point at the right of the computational domain is proposed. The numerical results are compared with those obtained from other methods.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2607af7c83061e2bd709432839729a49 https://doi.org/10.1080/10236198.2011.561797 Zobrazit plný text záznamu