Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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FREDHOLM-VOLTERRA INTEGRAL EQUATION WITH SINGULAR KERNEL

  • Darwish, M.A. (Mathematisches Seminar II Universitat Kiel)
  • Published : 1999.03.01

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Abstract

The purpose of this paper is to obtain the solution of Fredholm-Volterra integral equation with singular kernel in the space $L_2(-1, 1)\times C(0,T), 0 \leq t \leq T< \infty$, under certain conditions,. The numerical method is used to solve the Fredholm integral equation of the second kind with weak singular kernel using the Toeplitz matrices. Also the error estimate is computed and some numerical examples are computed using the MathCad package.

Keywords

References

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