ON A STEFAN PROBLEM WITH AN EMERGING FREE BOUNDARY
- 1 April 1981
- journal article
- research article
- Published by Taylor & Francis in Numerical Heat Transfer
- Vol. 4 (2) , 239-245
- https://doi.org/10.1080/01495728108961790
Abstract
This paper provides a closed-form solution and an optimization approximation to a degenerate Stefan problem. A truncation of the exact solution and the approximation obtained by using the authors' optimization technique yield highly accurate results with strict error bounds in a situation where other techniques are difficult to apply.Keywords
This publication has 4 references indexed in Scilit:
- The Stefan problem with arbitrary initial and boundary conditionsQuarterly of Applied Mathematics, 1978
- Persistent discretization errors in partial differential equations of parabolic typeThe Computer Journal, 1964
- Expansions in terms of heat polynomials and associated functionsTransactions of the American Mathematical Society, 1959
- Stefan-like problemsQuarterly of Applied Mathematics, 1950