Difference schemes for the singularly perturbed Sobolev periodic boundary problem


Duru H.

APPLIED MATHEMATICS AND COMPUTATION, cilt.149, ss.187-201, 2004 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 149 Konu: 1
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/s0096-3003(02)00965-7
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Sayfa Sayıları: ss.187-201

Özet

A finite-difference method is suggested and analyzed for evolution equations of Sobolev type in a single space variable and with boundary layers. The convergence and error estimates for an exponentially fitted difference scheme in an equidistant mesh are obtained. The numerical methods discussed here are extremely robust; in the sense that they have good convergence properties not only for small values of the perturbation parameter, but also for moderate and large values. (C) 2003 Elsevier Inc. All rights reserved.

A finite-difference method is suggested and analyzed for evolution equations of Sobolev type in a single space variable and with boundary layers. The convergence and error estimates for an exponentially fitted difference scheme in an equidistant mesh are obtained. The numerical methods discussed here are extremely robust, in the sense that they have good convergence properties not only for small values of the perturbation parameter, but also for moderate and large values.