One-sided finite-difference approximations suitable for use with Richardson extrapolation

Authors:
Kumar Rahul;S. N. Bhattacharyya
Affiliations:
Department of Mechanical Engineering, Indian Institute of Technology, Kharagpur, West Bengal, India;Department of Mechanical Engineering, Indian Institute of Technology, Kharagpur, West Bengal, India
Venue:
Journal of Computational Physics
Year:
2006

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Abstract

New expressions for one-sided finite-difference approximations are proposed. In these approximations the odd-order error terms are eliminated while the even-order terms are left to be taken care of by Richardson extrapolation. The effective local truncation error is shown to be less than for higher-order one-sided finite-difference approximations but the solutions for a test problem are shown to have comparable accuracy for both approximations.