The Use of Lanczos -Methods in the Numerical Solution of a Stefan Problem | Zendy

A.A. Wragg | Zendy

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The Use of Lanczos -Methods in the Numerical Solution of a Stefan Problem

Author(s) -

A.A. Wragg

Publication year - 1966

Publication title -

the computer journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.319

H-Index - 64

eISSN - 1460-2067

pISSN - 0010-4620

DOI - 10.1093/comjnl/9.1.106

Subject(s) - lanczos resampling , mathematics , boundary value problem , stefan problem , ordinary differential equation , differential equation , boundary (topology) , mathematical analysis , physics , quantum mechanics , eigenvalues and eigenvectors

Lanczos T-methods are used to solve the ordinary differential equations with two-point boundary conditions which result from a finite-difference approximation to a Stefan problem. This technique, combined with the use of canonical polynomials, provides the basis of a computer program to solve the Stefan problem which, under certain conditions, is more efficient than the Douglas-Gallie method. Numerical results from the program are given.

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