A High Accuracy Numerical Inversion Method in Solving the Sobolev Differential Equations

被引：0
作者：
Wang, Li [1 ]
Zhang, Lin [2 ]
机构：
[1] Civil Aviat Flight Univ China, Guanghan 618307, Peoples R China
[2] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
来源：
ADVANCES IN COMPUTATIONAL MODELING AND SIMULATION, PTS 1 AND 2 | 2014年 / 444-445卷
关键词：
Sobolev differential equations; Zakian inversion method; Finite difference methods;
D O I：
10.4028/www.scientific.net/AMM.0.637
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In the paper, by means of Laplace transform the Sobolev differential equations become to the elliptic differential equations, which can be solved by the fourth order finite difference equations in parallel. After getting the approximate solutions of the elliptic differential equations, we can achieve the numerical solutions with high accuracy for the Sobolev differential equations by using the Zakian inversion method. At last, we carry out one numerical experiment to indicate that the method in this paper is effective.
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页码：637 / +
页数：2
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