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A class of two-dimensional dual integral equations and its application

A class of two-dimensional dual integral equations and its application
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摘要 Because exact analytic solution is not available, we use double expansion and boundary collocation to construct an approximate solution for a class of two-dimensional dual integral equations in mathematical physics. The integral equations by this procedure are reduced to infinite algebraic equations. The accuracy of the solution lies in the boundary collocation technique. The application of which for some complicated initialboundary value problems in solid mechanics indicates the method is powerful. Because exact analytic solution is not available, we use double expansion and boundary collocation to construct an approximate solution for a class of two-dimensional dual integral equations in mathematical physics. The integral equations by this procedure are reduced to infinite algebraic equations. The accuracy of the solution lies in the boundary collocation technique. The application of which for some complicated initialboundary value problems in solid mechanics indicates the method is powerful.
机构地区 Department of Physics
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2007年第2期247-252,共6页 应用数学和力学(英文版)
基金 Project supported by the National Natural Science Foundation of China(No.K19672007)
关键词 two-dimensional dual integral equation double expansion boundary collocation two-dimensional dual integral equation, double expansion, boundary collocation
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