Error Estimates of the Finite-Difference Scheme for a One-Dimensional Parabolic Equation with Allowance for the Effect of Initial and Boundary Conditions

Author:

Mayko N. V.

Publisher

Springer Science and Business Media LLC

Subject

General Computer Science

Reference6 articles.

1. A. A. Samarskii, The Theory of Difference Schemes, Marcel Dekker, New York (2001).

2. Ye. F. Galba, “On the order of accuracy of the difference scheme for Poisson’s equation with mixed boundary conditions,” in: Symp. “Optimization of computer software algorithms,” in: Proc. V. M. Glushkov Institute of Cybernetics of AS of UkrSSR, Kiev (1985), pp. 30–34.

3. I. N. Molchanov and Ye. F. Galba, “On the convergence of the difference scheme approximating the Dirichlet problem for an elliptic equation with piecewise-constant coefficients,” in: Symp. “Numerical methods and a technology of development of application packages,” V. M. Glushkov Institute of Cybernetics of AS of UkrSSR, Kiev (1990), pp. 161–165.

4. V. Makarov, “On a priori estimate of difference schemes giving an account of the boundary effect,” C. R. Acad. Bulg. Sci., 42, No. 5, 41–44 (1989).

5. V. L. Makarov and L. I. Demkiv, “Improved accuracy estimates of traditional difference schemes for parabolic equations,” in: Proc. Ukr. Mathem. Congress, 31–42 (2001).

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