An improved Henyey method for calculating stellar models

Statistics – Computation

Scientific paper

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Computational Astrophysics, Stellar Evolution, Stellar Mass, Stellar Models, Stellar Structure, Boundary Conditions, Boundary Layers, Computerized Simulation, Differential Equations, Newton-Raphson Method, Truncation Errors

Scientific paper

A Henyey relaxation method with fourth-order truncation errors and accurate error control is described for modeling stellar evolutionary sequences. The model includes four interior equations of a nonrotating, quasi-static star and four boundary conditions. The equations are treated as a system of nonlinear algebraic equations solved by a Newton-Raphson procedure. The higher order truncation error is obtained by using the Runge-Kutta-Fehlberg method (1970) to generate fourth- and fifth-order approximations. The truncation error is then the difference between the approximations, and has proven useful for avoiding the appearance of an excessive number of shells in computations.

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