用非规则节点解偏数分方程的局部微分求积法

O29; In the conventional differential quadrature (DQ) method the functional values along a mesh line are used toapproximate derivatives and its application is limited to regular regions. In this paper, a local differential quadrature (LDQ)method was developed by using irregular distributed nodes, wh...

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Published in上海大学学报（英文版） Vol. 12; no. 2; pp. 110 - 114
Main Authors 王娟, 夏利伟, 马杭
Format Journal Article
LanguageChinese
Published Department of Mechanics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China 2008
Subjects
interpolation
mesh-free
differential quadrature (DQ) method
partial differential equation (PDE)
irregular node distribution
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ISSN1007-6417

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Summary:O29; In the conventional differential quadrature (DQ) method the functional values along a mesh line are used toapproximate derivatives and its application is limited to regular regions. In this paper, a local differential quadrature (LDQ)method was developed by using irregular distributed nodes, where any spatial derivative at a nodal point is approximatedby a linear weighted sum of the functional values of nodes in the local physical domain. The weighting coefficients in thenew approach are determined by the quadrature rule with the aid of nodal interpolation. Since the proposed method directlyapproximates the derivative, it can be consistently well applied to linear and nonlinear problems and the mesh-free feature isstill kept. Numerical examples are provided to validate the LDQ method.
ISSN:1007-6417