Acta mathematica scientia,Series A ›› 2000, Vol. 20 ›› Issue (zk): 658-662.

• Articles • Previous Articles     Next Articles

The steepest descent solution for Fredholm integral equation

ZHAO Xin-Quan   

  1. 华中科技大学 武汉430074
  • Received:1998-10-28 Online:2000-11-10 Published:2000-11-10

Abstract:

OnL2[a,b], thesteepestdescentsolution ,forFredholmintegralequationsKx
f
and(I-λKx=f,arestudied.UnderthecondictionofK and(I-λK)beingcon
verse,wegetthesequenceofthesteepestdescentsolutionandprovethissequenceconverging to the exactsolutionandgiveouttheestimationoferror.

Key words: Fredholmintegralequation, Thesteepestdescentsolutionsequence, Conver
gence,
Estimationoferror.

CLC Number: 

  • 45E15
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