DocumentCode
466979
Title
Numerical Solution of A Type of Nonlinear Parabolic Equations
Author
Wang, Lili ; Gu, Wei
Author_Institution
Qingdao Tech. Univ., Qingdao
Volume
2
fYear
2007
fDate
July 30 2007-Aug. 1 2007
Firstpage
328
Lastpage
333
Abstract
In this paper, a layer method of solving the Cauchy problem for a second-order quasilinear parabolic equation is proposed, which is derived by using probabilistic representation of the solution. The method exploits the ideas of weak sense numerical integration of stochastic differential equations. We prove an error estimate for the method and discuss the multidimensional case.
Keywords
differential equations; nonlinear equations; parabolic equations; Cauchy problem; nonlinear parabolic equations; probabilistic representation; second-order quasilinear parabolic equation; stochastic differential equations; Approximation algorithms; Artificial intelligence; Differential equations; Distributed computing; Educational institutions; Mathematics; Multidimensional systems; Nonlinear equations; Software engineering; Stochastic processes;
fLanguage
English
Publisher
ieee
Conference_Titel
Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, 2007. SNPD 2007. Eighth ACIS International Conference on
Conference_Location
Qingdao
Print_ISBN
978-0-7695-2909-7
Type
conf
DOI
10.1109/SNPD.2007.140
Filename
4287702
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