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Article information
1999 , Volume 4, ¹ 2, p.26-41
Grishin A.M., Yakimov A.S.
Generalization of iterational interpolation method for the solution of a three-dimensional parabolic equation of the general form
Making use of iterational interpolation method absolutely stable difference schemes have been obtained for the solution of non-linear boundary problems of heat conduction. The approximation error has been found. The algorithm of the method is presented and the test calculation example is given for a three-dimensional parabolic equation in a cube under boundary conditions of the first and second kind.
[full text] Classificator Msc2000:- *35K60 Nonlinear boundary value problems for linear parabolic PDE; boundary value problems for nonlinear parabolic PDE
- 65M06 Finite difference methods
- 65M12 Stability and convergence of numerical methods
- 65M15 Error bounds
Keywords: iterative interpolation method, difference schemes, absolute stability, error bounds, numerical example, nonlinear boundary problems, heat conduction
Author(s):
Grishin A.M.
Office: Tomsk State University
Address: 634050, Russia, Tomsk, Lenin Ave., 36
E-mail: fire@fire.tsu.tomsk.su
Yakimov A.S.
Address: Russia, Tomsk, Tomsk, Lenin Ave., 36
Bibliography link:
Grishin A.M., Yakimov A.S. Generalization of iterational interpolation method for the solution of a three-dimensional parabolic equation of the general form // Computational technologies. 1999. V. 4. ¹ 2. P. 26-41
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