The Convective Cover of the Stellar Model Having the Chemical Composition: X = 0.735 and Z = 0.014

Abstract. In this paper we present the way in which the integrated equations describe the structure of the convective cover.
We give numerical results on the convective cover considering null
and not-null conditions at the surface of the star.

Key Words: Convective cover, Radiative nucleus.
Mathematics Subject Classification (2000): 85A15

Generalized Method of Lines for Nonlinear First Order Partial Differential Equations

Abstract. Classical solutions of initial or initial boundary value
problems are approximated in the paper by solutions of associated
differential difference problems. A method of lines for an unknown
function in original problems and for their partial derivatives with
respect to spatial variables is constructed.
This new approach to a numerical solving of nonlinear equations
is generated by a method of linearization for nonlinear problems.
The stability results are proved by using differential inequalities
techniques. Numerical examples are given.

Key Words: missing.
Mathematics Subject Classification (2000): missing.