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Article information
1998 , Volume 3, ¹ 1, p.55-66
Paasonen V.I.
Compact difference schemes for systems of second order equations with convective terms
In present paper the properties of special approximations for dissipative terms are investigated, and on this basis the compact difference fourth order accuracy schemes for many-dimensional systems of differential equations with convective and dissipative terms without mixed derivatives
are constructed. The factors of the equations are assumed by variables, and they can be depended also on a solution. Alongside with elliptic systems of equations the evolutionary systems are considered also. The order of approximation on time is second for the parabolic equations
and it is fourth for the hyperbolic equations.
[full text] Classificator Msc2000:- *35J25 Boundary value problems for second-order, elliptic equations
- 35K15 Initial value problems for second-order, parabolic equations
- 65M06 Finite difference methods
- 65M15 Error bounds
- 65N06 Finite difference methods
- 65N15 Error bounds
Keywords: compact difference schemes, elliptic equations, divergent form of a convective term, evolution equation
Author(s):
Paasonen Viktor Ivanovich
PhD. , Associate Professor
Position: Senior Research Scientist
Office: Federal Research Center for Information and Computational Technologies
Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave. 6
Phone Office: (383) 330 86 56
E-mail: paas@ict.nsc.ru
Bibliography link:
Paasonen V.I. Compact difference schemes for systems of second order equations with convective terms // Computational technologies. 1998. V. 3. ¹ 1. P. 55-66
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