METHOD OF LINES FOR PARABOLIC STOCHASTIC FUNCTIONAL PARTIAL DIFFERENTIAL EQUATIONS

被引：0

作者：

Ziemlanska, Maria ^{[1
]}

机构：

[1] Univ Gdansk, Inst Math, Wit Stwosz St 57, PL-80952 Gdansk, Poland

来源：

OPUSCULA MATHEMATICA | 2014年 / 34卷 / 02期

关键词：

stochastic partial differential equations; stability of the method of lines; white noise; Volterra stochastic equations;

D O I：

10.7494/OpMath.2014.34.2.443

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We approximate parabolic stochastic functional differential equations substituting the derivatives in the space variable by finite differences. We prove the stability of the method of lines corresponding to a parabolic SPDE driven by Brownian motion.

引用

页码：443 / 456

页数：14

共 24 条

[11] On the numerical solution of nonlinear Burgers'-type equations using meshless method of lines [J].

Haq, Sirajul ;

Hussain, Arshad ;

Uddin, Marjan .

APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (11) :6280-6290

[12] Meshless method of lines for the numerical solution of generalized Kuramoto-Sivashinsky equation [J].

Haq, Sirajul ;

Bibi, Nagina ;

Tirmizi, S. I. A. ;

Usman, M. .

APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (06) :2404-2413

[13]

Kamont Z, 1999, HYPERBOLIC FUNCTIONA

[14]

Kauthen J., 1989, PUBLICATIONS INTERNE

[15]

Kolmogorov A.N., 1937, B MOSC U MATH MECH, V1, P1, DOI DOI 10.1016/j.jde.2006.04.010

[16] Method of lines approximations of delay differential equations [J].

Koto, T .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 48 (1-2) :45-59

[17] Warning signs for wave speed transitions of noisy Fisher-KPP invasion fronts [J].

Kuehn, Christian .

THEORETICAL ECOLOGY, 2013, 6 (03) :295-308

[18] Comparison ODE theorems related to the method of lines [J].

Leszczynski, Henryk .

JOURNAL OF APPLIED ANALYSIS, 2011, 17 (01) :137-154

[19] The method of lines for solving a class of abstract differential equations [J].

Lin, CY .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 45 (04) :383-390

[20] Postprocessing for stochastic parabolic partial differential equations [J].

Lord, Gabriel J. ;

Shardlow, Tony .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 2007, 45 (02) :870-889

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