International Journal of Fluid Mechanics Research

ISSN for PRINT: 1064-2277

For Online Access

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2006, Volume33

Issue 2

94 pages

DOI: 10.1615/InterJFluidMechRes.v33.i2

Issue price - $310.00

P. Pramod Chakravarthy
Department of Mathematics, Kakatiya Institute of Technology and Science, Warangal, 506 015, India

Y. N. Reddy
Department of Mathematics, National Institute of Technology, Warangal, 506 004, India

In this paper, an exponentially fitted modified upwind scheme is presented for solving singularly perturbed two-point boundary value problems with the boundary layer at one end (left or right) point. A fitting factor is introduced in a modified upwind scheme and is obtained from the theory of singular perturbations. A tridiagonal finite difference scheme is obtained and is solved by using the Thomas algorithm. Several linear and nonlinear problems are solved and observed, which show that the present method approximates the exact solution very well.

DOI: 10.1615/InterJFluidMechRes.v33.i2.10 Download article, 119-136 pages

Article price - $60.00

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