Journal of applied mathematics & informatics

  • 제6권2호
  • /
  • Pages.503-512
  • /
  • 1999
  • /
  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

ON THE NUMERICAL SOLUTION OF INTEGRAL EQUATIONS OF THE SECOND KIND WITH WEAKLY SINGULAR KERNELS

  • Fahmy, M.H. (Department of Mathematics Faculty of Education Slexandria University) ;
  • Abdou, M.A. (Department of Mathematics faculty of Education Alexandria University) ;
  • Darwish, M.A. (Mathematisches Seminar II Universitat Kiel)
  • 발행 : 1999.06.01

⟨ 이전 논문 다음 논문 ⟩

초록

The purpose of this paper is to introduce the (Toeplitz) quadrature method for solving fredholm integral equations of the second kind with mildly singular kernels. We are presented some numerical examples for the computation of the error estimate using the MathCad package.

키워드

참고문헌

  1. Hand book of integral equations A.D.Polyanin;A.V.Manzhirov
  2. J. Comp. Appl. Math. v.40 The Galerkin method for singular integral equations revisited E.Venturino
  3. A survey of numerical method for the solution of Fredholm integral equation of the second kind K.Atkinson
  4. The numerical solution of integral equations of the second kind K.Atkinson
  5. Computational methods for integral equations L.M.Delves;J.L.Mohamed
  6. Korean J. Comp. & Appl. Math. v.5 no.2 A numerical method for solving the Fredholm integral equation of the second kind M.A.Abdou;S.A.Mahmoud;M.A.Darwish
  7. Korean J. Comput. & Appl. Math. v.6 no.1 Fredholm-Volterra integral equation with singular kernel M.A.Darwish
  8. Integral equations theory and numerical treatment W.Hackbusch