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Article information
1997 , Volume 2, ¹ 5, p.12-25
Bykova E.G., Shaidurov V.V.
Two-dimensional non-uniform difference scheme with higher order of accuracy
The paper deals with the construction and justification of an inhomogeneous difference scheme with the improved order of magnitude for a two-dimensional elliptic equation. The heterogeneity of the scheme is connected with the periodic alternation of the difference operator pattern. At some nodes there is a nine-point pattern and in the rest there is a standard five-point pattern. The general idea of such a construction is illustrated as well as the justification principle of the improved accuracy of its solution. Numerical examples confirm the theoretical conclusion of the
fourth accuracy order of the approximated solution in spite of the second order of approximation in each of the difference equations.
[full text] Author(s):
Bykova E.G.
Office: Krasnoyarsk State Technical University
Address: Russia, Krasnoyarsk
Shaidurov Vladimir Victorovich
Dr. , Correspondent member of RAS, Professor
Position: Head of Research
Office: Federal Research Center Krasnoyarsk Science Center of the Siberian Branch of the Russian Academy of Science
Address: 660036, Russia, Krasnoyarsk 36, Akademgorodok 50, building 44
Phone Office: (391) 243 27 56
E-mail: shaidurov04@gmail.com
SPIN-code: 7075-6423
Bibliography link:
Bykova E.G., Shaidurov V.V. Two-dimensional non-uniform difference scheme with higher order of accuracy // Computational technologies. 1997. V. 2. ¹ 5. P. 12-25
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