Numerical computation of certain three-dimensional stellar structures using a semidiscrete pseudospectral method

Autor:	S. V. Parter, M. J. Miketinac
Rok vydání:	1981
Předmět:	Elliptic partial differential equation Applied Mathematics General Mathematics Numerical analysis Mathematical analysis Finite difference General Physics and Astronomy Pseudospectral optimal control Boundary value problem Pseudo-spectral method Galerkin method Boundary knot method Mathematics
Zdroj:	ZAMP Zeitschrift f�r angewandte Mathematik und Physik. 32:204-228
ISSN:	1420-9039 0044-2275
DOI:	10.1007/bf00946749
Popis:	Numerical method for solving three-dimensional stellar structure problems, formulated as free boundary problems for a mildly nonlinear elliptic partial differential equation, is developed by a combination of Newton-Raphson procedure, trial free boundary method, a pseudospectral Galerkin type method (for angular dependence) and finite differences (for radial dependence). Implementation of the method on a computer is discussed. The method is applied to the computation of structure of a critical, polytropic primary in a synchronous binary system. Forn=3.0, the results are found to be in reasonable agreement with those obtained previously by an expansion method. This expansion method is not capable of computing the structure of the other interesting polytrope withn=1.5 which presented no difficulties to the present method.
Databáze:	OpenAIRE
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