RATIONAL SPECTRAL COLLOCATION METHOD FOR A COUPLED SYSTEM OF SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS  

作　　者：Suqin Chen Yingwei Wang Xionghua Wu 

机构地区：[1]Department of Mathematics, Tongji University, Shanghai 200092, China

出　　处：《Journal of Computational Mathematics》2011年第4期458-473,共16页计算数学（英文）

基　　金：Acknowledgments. The support from the National Natural Science Foundation of China under Grants No.10671146 and No.50678122 is acknowledged. The authors are grateful to the referee and the editor for helpful comments and suggestions.

摘　　要：A, novel collocation method for a coupled system of singularly perturbed linear equations is presented. This method is based on rational spectral collocation method in barycentric form with sinh transform. By sinh transform, the original Chebyshev points are mapped into the transformed ones clustered near the singular points of the solution. The results from asymptotic analysis about the singularity solution are employed to determine the parameters in this sinh transform. Numerical experiments are carried out to demonstrate the high accuracy and efficiency of our method.A, novel collocation method for a coupled system of singularly perturbed linear equations is presented. This method is based on rational spectral collocation method in barycentric form with sinh transform. By sinh transform, the original Chebyshev points are mapped into the transformed ones clustered near the singular points of the solution. The results from asymptotic analysis about the singularity solution are employed to determine the parameters in this sinh transform. Numerical experiments are carried out to demonstrate the high accuracy and efficiency of our method.

关 键 词：Singular perturbation Coupled system Rational spectral collocation method Boundary layer REACTION-DIFFUSION Convection-diffusion. 

分 类 号：O241.8[理学—计算数学] TN248.1[理学—数学]