Difference Schemes For Problems Research Articles

Difference schemes for problems with quadratic nonlinearity

Difference schemes for problems with quadratic nonlinearity

ON THE DIFFERENCE SCHEMES FOR PROBLEMS WITH NON-LOCAL BOUNDARY CONDITIONS

This paper is devoted to the construction and in­ vestigation of difference schemes for the solution of one-dimensional parabolic problems with non-classical boundary conditions. The stability of schemes and the convergence of a numerical solution is proved in the norms L1 and C.

The computation of one-dimensional non-stationary problems of gravitational gas dynamics

SOME features of the numerical solution of one-dimensional non-stationary problems of gas dynamics when gravity forces are present are studied. The problem of the spread of shock waves in the sun's atmosphere is discussed. The effectiveness of the use of completely conservative difference schemes in problems of this class is demonstrated. The process of periodic formation of shock waves in the atmosphere for a monotonic dynamic action on its lower boundary is explained.