A New Economical Unconditional Stable Splitting Method for Numerical Solution of Problems of Mathematical Physics

被引:0
作者
Kuznetsova, Ek. L. [1 ]
Egorova, O. V. [1 ]
Novikov, A. S. [1 ]
机构
[1] Natl Res Univ, Moscow Aviat Inst, Moscow 125993, Russia
基金
俄罗斯科学基金会;
关键词
differential operators splitting; extrapolation; approximation; stability; accuracy; mixed partial derivatives; comparative analysis; HEAT-TRANSFER; MASS-TRANSFER; HALF-SPACE;
D O I
10.1134/S1995080224602467
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, an economical unconditionally stable method of variable directions with extrapolation of numerical solutions of problems for parabolic equations containing mixed derivatives is proposed and justified by approximation and stability, which, in comparative analysis with other numerical methods, showed the highest accuracy and a unique margin of stability when changing grid characteristics.
引用
收藏
页码:2335 / 2341
页数:7
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