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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/181641
El problema de Stefan
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[en] In this tesis we study the one-dimensional Stefan problem, a classic example of a free boundary value problem for a partial differential equation. We will look at the Stefan condition and some techniques applied to problem solving. Furthermore, we will discuss the existence and uniqueness of heat equation, as well as the maximum principle. Finally the problem is solved numerically using the Crank-Nicolson scheme, for two different boundary conditions: one constant and the other time-dependent; doing an asymptotic analysis at the initial time, and an analysis of the approximation errors. The approximate solutions are shown graphically along with proper error estimates.
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Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2021, Director: Miquel Bosch Gual
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RAMOS LLAURADÓ, Sara. El problema de Stefan. [consulted: 18 of June of 2026]. Available at: https://hdl.handle.net/2445/181641