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《Journal of Wuyi University(Natural Science Edition)》 2013-02
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Taylor Collocation Solution and Error Analysis of the Initial Boundary Value Problem of 2-Dimension Integral Differential Equations

LAI Jia-dao,WANG Qi-sheng(School of Mathematics and Computational Science,Wuyi University,Jiangmen 529020,China)  
An approximate method for solving the initial boundary value problems in 2-dimensional Volterra-Fredholm integral differential equations is presented by using the Taylor collocation method.The solving format and results of error analysis are also obtained and numerical examples for the theoretical analysis results are provided.
【Fund】: 广东省计算科学重点实验室开放基金项目(No.201206007)
【CateGory Index】: O175.6
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【Citations】
Chinese Journal Full-text Database 2 Hits
1 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];五邑大学学报(自然科学版);2011-02
2 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];Journal of Computational Mathematics;2008-06
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 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];Science China(Mathematics);2014-10
2 WU Hua;XU Ling-fang;College of Sciences,Shanghai University;;Chebyshev-Legendre spectral collocation method for second kind Volterra integral equations[J];应用数学与计算数学学报;2014-02
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];Science China(Mathematics);2013-12
4 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];五邑大学学报(自然科学版);2013-02
5 Yunxia Wei;Yanping Chen;College of Mathematic and Information Science,Shandong Institute of Business and Technology;School of Mathematical Sciences,South China Normal University;;A Spectral Method for Neutral Volterra Integro-Differential Equation with Weakly Singular Kernel[J];Numerical Mathematics(Theory,Methods and Applications);2013-02
6 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];湖南师范大学自然科学学报;2013-02
7 WANG Qi-sheng,LAI Jia-dao(School of Mathematics and Computational Science,Wuyi University,Jiangmen 529020,China);Taylor Collocation Solution and Error Analysis for 2-Dimensional Volterra-Fredholm Integral Equations[J];五邑大学学报(自然科学版);2013-01
8 Yanping Chen;Xianjuan Li;Tao Tang;School of Mathematical Sciences,South China Normal University;College of Mathematics and Computer Science,Fuzhou University;Department of Mathematics,Hong Kong Baptist University;;A NOTE ON JACOBI SPECTRAL-COLLOCATION METHODS FOR WEAKLY SINGULAR VOLTERRA INTEGRAL EQUATIONS WITH SMOOTH SOLUTIONS[J];Journal of Computational Mathematics;2013-01
9 WANG Jin-chan(Department of Mathematics,Dezhou University,Dezhou Shandong 253023,China);A Special Method for the Second Kind of Volterra Integral Equations[J];德州学院学报;2012-04
10 Xianjuan LI 1,Tao TANG 21 College of Mathematics and Computer Science,Fuzhou University,Fuzhou 350108,China 2 Department of Mathematics,Hong Kong Baptist University,Hong Kong,China;Convergence analysis of Jacobi spectral collocation methods for Abel-Volterra integral equations of second kind[J];Frontiers of Mathematics in China;2012-01
【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];Journal of Computational Mathematics;2008-06
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