Abstract
In this paper, a numerical method for a weakly coupled system of two singularly perturbed convection-diffusion second order ordinary differential equations with a small parameter multiplying the highest derivative is presented. Parameter-uniform error bounds for the numerical solution and also to numerical derivative are established. Numerical results are provided to illustrate the theoretical results.
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Mythili Priyadharshini, R., Ramanujam, N. & Shanthi, V. Approximation of derivative in a system of singularly perturbed convection-diffusion equations. J. Appl. Math. Comput. 30, 369–383 (2009). https://doi.org/10.1007/s12190-008-0178-5
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DOI: https://doi.org/10.1007/s12190-008-0178-5
Keywords
- System
- Singular perturbation problems
- Piecewise uniform meshes
- Scaled derivative
- Scaled discrete derivative