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Hybrid difference schemes for a singularly perturbed second order ordinary differential equation with a discontinuous convection coefficient arising in chemical reactor theory

Published: 01 September 2008 Publication History

Abstract

In this paper, two hybrid difference schemes for singularly perturbed second order ordinary differential equations with a small parameter multiplying the highest derivative with a discontinuous convection coefficient are presented. Parameter-uniform error bounds for the numerical solution and numerical derivative are established. Numerical results are provided to illustrate the theoretical results.

References

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Information & Contributors

Information

Published In

cover image Neural, Parallel & Scientific Computations
Neural, Parallel & Scientific Computations  Volume 16, Issue 3
September 2008
159 pages

Publisher

Dynamic Publishers, Inc.

United States

Publication History

Published: 01 September 2008
Received: 30 January 2008

Author Tags

  1. hybrid scheme
  2. piecewise uniform mesh
  3. scaled derivative
  4. scaled discrete derivative
  5. singular perturbation problem

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