BIT Numerical Mathematics

, Volume 23, Issue 2, pp 239–247 | Cite as

The method of successive extrapolated iterated defect correction and its application to second kind Fredholm's integral equations

  • D. Daniel Sathiaraj
  • R. Sankar
Part II Numerical Mathematics

Abstract

We describe an application of the principle of Iterated Defect Correction (IDeC) on the quadrature methods for the numerical solution of Fredholm's integral equations of the second kind. We also derive an asymptotic expansion for the global error in the solution produced by the IDeC method. Applying Richardson extrapolation repeatedly on the IDeC method, we present the technique of Successive Extrapolated Iterated Defect Correction (SEIDeC) and the resulting asymptotic expansion for the global error. Numerical tests confirm the asymptotic results and demonstrate the power of the IDeC method as well as the superiority of our method SEIDeC.

Keywords

Integral Equation Computational Mathematic Asymptotic Expansion Numerical Test Asymptotic Result 

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Copyright information

© BIT Foundations 1983

Authors and Affiliations

  • D. Daniel Sathiaraj
    • 1
    • 2
  • R. Sankar
    • 1
    • 2
  1. 1.Computer CentreBanaras Hindu UniversityVaranasiIndia
  2. 2.Computer CentreIndian Institute of TechnologyKanpurIndia

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