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《Journal of Wuyi University(Natural Science Edition)》 2013-01
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Taylor Collocation Solution and Error Analysis for 2-Dimensional Volterra-Fredholm Integral Equations

WANG Qi-sheng,LAI Jia-dao(School of Mathematics and Computational Science,Wuyi University,Jiangmen 529020,China)  
An approximate method for solving 2-dimensional Volterra-Fredholm integral equations is presented by Taylor collocation method.That is,the Volterra-Fredholm integral equations are discretized by Taylor collocation method,which are transformed for the algebraic property systems,the format of Taylor collocation method are obtained.The results of error analysis are given between the collocation solution and the exact solution.Moreover,the effectiveness of this method are illustrated by means of three numerical examples.
【Fund】: 广东省计算科学重点实验室开放基金资助项目(201206007)
【CateGory Index】: O175.5
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【References】
Chinese Journal Full-text Database 1 Hits
1 WANG Ke-yan;WANG Qi-sheng;School of Mathematics and Computational Science, Wuyi University;;Taylor Polynomial Approximation and Error Analysis of 2-Dimensional Helmholtz Equation[J];Journal of Wuyi University(Natural Science Edition);2013-04
【Citations】
Chinese Journal Full-text Database 2 Hits
1 Tao Tang Department of Mathematics,Hong Kong Baptist University,Kowloon Tong,Hong Kong,China Xiang Xu Jin Cheng School of Mathematics,Fudan University,Shanghai 200433,China;ON SPECTRAL METHODS FOR VOLTERRA INTEGRAL EQUATIONS AND THE CONVERGENCE ANALYSIS[J];计算数学(英文版);2008-06
2 CHEN Shao-jun,WANG Qi-sheng(School of Mathematics and Computational Science,Wuyi University,Jiangmen 529020,China);Chebyshev Spectral Collocation Method and Error Analysis for the Two-dimensional Volterra Integral Equation[J];Journal of Wuyi University(Natural Science Edition);2011-02
【Co-citations】
Chinese Journal Full-text Database 8 Hits
1 WANG Jin-chan(Department of Mathematics,Dezhou University,Dezhou Shandong 253023,China);A Special Method for the Second Kind of Volterra Integral Equations[J];Journal of Dezhou University;2012-04
2 LI Qi-fa1,XIE Zi-qing1,2*,TAO Xia2(1.College of Mathematics and Computer Science,Guizhou Normal University,Guiyang 550001,China 2.College of Mathematics and Computer Science,Hunan Normal University,Changsha 410081,China);Supergeometric Convergence of Spectral Legendre-Galerkin Approach for the Linear Integro-Differential Equations[J];Journal of Natural Science of Hunan Normal University;2013-02
3 GUO BenYu;Department of Mathematics, Shanghai Normal University;Scientific Computing Key Laboratory of Shanghai Universities;Division of Computational Science,E-institute of Shanghai Universities;;Some progress in spectral methods Dedicated to Professor Shi Zhong-Ci on the Occasion of his 80th Birthday[J];中国科学:数学(英文版);2013-12
4 CAI Hao Tao;School of Mathematics and Quantitative Economics,Shandong University of Finance and Economics;;A Jacobi-collocation method for solving second kind Fredholm integral equations with weakly singular kernels[J];中国科学:数学(英文版);2014-10
5 WU Hua,ZHANG Jue(College of Sciences,Shanghai University,Shanghai 200444,China);Chebyshev-Collocation Spectral Method for Volterra Type Integro-Differential Equations[J];Journal of Shanghai University(Natural Science Edition);2011-02
6 CHEN Shao-jun,WANG Qi-sheng(School of Mathematics and Computational Science,Wuyi University,Jiangmen 529020,China);Chebyshev Spectral Collocation Method and Error Analysis for the Two-dimensional Volterra Integral Equation[J];Journal of Wuyi University(Natural Science Edition);2011-02
7 LAI Jia-dao,WANG Qi-sheng(School of Mathematics and Computational Science,Wuyi University,Jiangmen 529020,China);Taylor Collocation Solution and Error Analysis of the Initial Boundary Value Problem of 2-Dimension Integral Differential Equations[J];Journal of Wuyi University(Natural Science Edition);2013-02
8 WU Hua;XU Ling-fang;College of Sciences,Shanghai University;;Chebyshev-Legendre spectral collocation method for second kind Volterra integral equations[J];Communication on Applied Mathematics and Computation;2014-02
【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 Tao Tang Department of Mathematics,Hong Kong Baptist University,Kowloon Tong,Hong Kong,China Xiang Xu Jin Cheng School of Mathematics,Fudan University,Shanghai 200433,China;ON SPECTRAL METHODS FOR VOLTERRA INTEGRAL EQUATIONS AND THE CONVERGENCE ANALYSIS[J];计算数学(英文版);2008-06
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