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Yang J.      Alternative convergence analysis for a kind of singularly perturbed boundary value problems[J].
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2006ÄêµÄÎÄÏ×ÃûΪUniform convergence analysis of finite difference approximations for singular perturbation problems on an adapted grid
×÷ÕßΪYanping Chen¡£
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Uniform convergence analysis of finite difference approximations for singular perturbation problems on an adapted grid

×÷Õß:Chen, YP (Chen, YP)

ADVANCES IN COMPUTATIONAL MATHEMATICS

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ÆÚ: 1-4

Ò³: 197-212

DOI: 10.1007/s10444-004-7641-0

³ö°æÄê: JAN 2006

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A singularly perturbed two-point boundary value problem with an exponential boundary layer is solved numerically by using an adaptive grid method. The mesh is constructed adaptively by equidistributing a monitor function based on the arc-length of the approximated solutions. A first-order rate of convergence, independent of the perturbation parameter, is established by using the theory of the discrete Green's function. Unlike some previous analysis for the fully discretized approach, the present problem does not require the conservative form of the underlying boundary value problem.
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×÷Õ߹ؼü´Ê:singular perturbation; moving mesh; rate of convergence; error estimate

KeyWords Plus:BOUNDARY-VALUE PROBLEM; CONVECTION-DIFFUSION PROBLEM; POINTWISE CONVERGENCE; MESH METHODS; EQUIDISTRIBUTION
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[ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ]         [ 1 ] Xiangtan Univ, Dept Math, Hunan, Peoples R China

µç×ÓÓʼþµØÖ·:ypchen@xtu.edu.cn
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SPRINGER, 233 SPRING STREET, NEW YORK, NY 10013 USA
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Ñо¿·½Ïò:Mathematics

Web of Science Àà±ð:Mathematics, Applied
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ÎÄÏ×ÀàÐÍ:Article

ÓïÖÖ:English

Èë²ØºÅ: WOS:000236833200011

ISSN: 1019-7168
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    Impact Factor (Ó°ÏìÒò×Ó): Journal Citation Reports®

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IDS ºÅ: 033FV

Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 21

Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 12
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