GENERALIZED INVERSES IN NUMERICAL SOLUTIONS OF CAUCHY SINGULAR INTEGRAL EQUATIONS

  • Kim, S. (Department of Mathematics Ewha Womans University)
  • Published : 1998.10.01

Abstract

The use of the zeros of Chebyshev polynomial of the first kind $T_{4n+4(x}$ ) and second kind $U_{2n+1}$ (x) for Gauss-Chebyshev quad-rature and collocation of singular integral equations of Cauchy type yields computationally accurate solutions over other combinations of $T_{n}$ /(x) and $U_{m}$(x) as in [8]. We show that the coefficient matrix of the overdetermined system has the generalized inverse. We estimate the residual error using the norm of the generalized inverse.e.