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Article information
2004 , Volume 9, ¹ 5, p.114-121
Shapeev V.P.
Implicit finite-difference scheme with approximation error O(t4,h8) for the heat conduction equation
Implicit two-layer finite-difference scheme for one-dimensional heat conduction equation with 4th order of approximation in time and 8th order in space is constructed and justified.
[full text] Classificator Msc2000:- *65N06 Finite difference methods
- 80M20 Finite difference methods
Keywords: Crank-Nicolson scheme, high order approximation scheme, computer algebra system
Author(s):
Shapeev Vasily Pavlovich
Dr. , Professor
Position: General Scientist
Office: Institute of Theoretical and Applied Mechanics of SB RAS, Novosibirsk State University
Address: 630090, Russia, Novosibirsk, Institutskaya Str., 4/1
Phone Office: (383) 330 27 13
E-mail: vshapeev@ngs.ru
SPIN-code: 7128-5536
Bibliography link:
Shapeev V.P. Implicit finite-difference scheme with approximation error O(t4,h8) for the heat conduction equation // Computational technologies. 2004. V. 9. ¹ 5. P. 114-121
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