J4 ›› 2012, Vol. 47 ›› Issue (8): 60-63.

• Articles • Previous Articles     Next Articles

Convergence analysis for nonlinear integro-differential equations with a weakly singular kernel

WU Zhi-qin1, SHI Dong-wei2   

  1. 1. School of Mathematics and Statistics, Xuchang University,  Xuchang 461000, Henan, China;
    2. Department of Mathematics, Henan Insititute of Science and Technology, Xinxiang 453003, Henan, China
  • Received:2012-01-31 Online:2012-08-20 Published:2012-12-24

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Abstract:

The  bilinear finite element approximate for a class of nonlinear integrodifferential equations with weakly singular kernel is studied. The optimal error estimate which is one order higher approximate than the results of the previous literature in L2-norm is derived for anisotropy meshes based on the known high accuracy analysis results of this element, the projection operator and the average skills meanvalue.
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Key words: ntegro-differential equations; weakly singular kernel; anisotropy; blinear element; optimal error estimate

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