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Richardson Extrapolation Method for Singularly Perturbed Coupled System of Convection-Diffusion Boundary-Value Problems

Briti Sundar Deb1, Srinivasan Natesan2

Department of Mathematics, Indian Institute of Technology, Guwahati - 781 039, India. Present address: Department of Applied Mathematics (NACM - Group), University of Twente, 7500AE Enschede, The Netherlands. (b.s.deb@utwente.nl)
Department of Mathematics, Indian Institute of Technology, Guwahati - 781 039, India. (natesan@iitg.ernet.in)

Computer Modeling in Engineering & Sciences 2008, 38(2), 179-200. https://doi.org/10.3970/cmes.2008.038.179

Abstract

This paper presents an almost second--order uniformly convergent Richardson extrapolation method for convection- dominated coupled system of boundary value problems. First, we solve the system by using the classical finite difference scheme on the layer resolving Shishkin mesh, and then we construct the Richardson approximation solution using the solutions obtained on N and 2N mesh intervals. Second-order parameter--uniform error estimate is derived. The proposed method is applied to a test example for verification of the theoretical results for the case ε ≤ N−1.

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APA Style
Deb, B.S., Natesan, S. (2008). Richardson extrapolation method for singularly perturbed coupled system of convection-diffusion boundary-value problems. Computer Modeling in Engineering & Sciences, 38(2), 179-200. https://doi.org/10.3970/cmes.2008.038.179
Vancouver Style
Deb BS, Natesan S. Richardson extrapolation method for singularly perturbed coupled system of convection-diffusion boundary-value problems. Comput Model Eng Sci. 2008;38(2):179-200 https://doi.org/10.3970/cmes.2008.038.179
IEEE Style
B.S. Deb and S. Natesan, "Richardson Extrapolation Method for Singularly Perturbed Coupled System of Convection-Diffusion Boundary-Value Problems," Comput. Model. Eng. Sci., vol. 38, no. 2, pp. 179-200. 2008. https://doi.org/10.3970/cmes.2008.038.179



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