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Article information
1998 , Volume 3, ¹ 6, p.82-91
Formalev V.F., Tyukin O.A.
Implicit method of fractional steps with the splitting of mixed differential operators
A new resource-sparing, totally stable method of fractional steps for the numerical solution of parabolic problems with mixed differential operators which are split on an asymmetric pattern into coordinate directions is suggested. Theorems of approximation are proved as well as those of stability and convergence. The results of comparative numerical experiments are presented in comparison with the well-known classical methods.
[full text] Classificator Msc2000:- *35K15 Initial value problems for second-order, parabolic equations
- 65M06 Finite difference methods
- 65M12 Stability and convergence of numerical methods
Keywords: parabolic problem, finite-difference scheme, method of fractional steps, method of complete splitting, anisotropic heat conduction problem, stability, convergence, numerical experiments
Author(s):
Formalev Vladimir Fedorovich
Dr. , Professor
Office: Moscow state aviation institute
Address: 125871, Russia, Moscow
Phone Office: (499) 496-39-71
E-mail: pirumov@k806.mainet.msk.su
Tyukin O.A.
Address: 111538, Russia, Moscow
Phone Office: 095-375-7498
E-mail: pirumov@k806.mainet.msk.su
Bibliography link:
Formalev V.F., Tyukin O.A. Implicit method of fractional steps with the splitting of mixed differential operators // Computational technologies. 1998. V. 3. ¹ 6. P. 82-91
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