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Article information
2000 , Volume 5, ¹ 5, p.38-52
Grishin A.M., Yakimov A.S.
A method for the solution of some 3-d partial differential equations
The finite-difference schemes for a three-dimensional partial differential equation of the first order have been obtained. This schemes based on the iteration-interpolational method and Lax-Wendroff approach are absolutely stable in the ordinary sense and characterized by dissipative properties. The algorithm of the method is presented and the convergence is demonstrated by test examples for some partial differential equations.
[full text] Classificator Msc2000:- *76M20 Finite difference methods
Keywords: iteration-interpolation method, Lax-Wendroff approach, high-order accuracy scheme, convergence and stability of a difference scheme, approximation error of a scheme
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. A method for the solution of some 3-d partial differential equations // Computational technologies. 2000. V. 5. ¹ 5. P. 38-52
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