Approximation of derivative in a system of singularly perturbed convection-diffusion equations
Approximation of derivative in a system of singularly perturbed convection-diffusion equations
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DOI：
10.1007/s12190-008-0178-5
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发表时间：
2009-05
影响因子：
2.2
通讯作者：
R. Mythili Priyadharshini;N. Ramanujam;V. Shanthi
中科院分区：
文献类型：
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作者：
R. Mythili Priyadharshini;N. Ramanujam;V. Shanthi
本文提出了两个奇异摄动对流扩散二阶常微分方程的弱耦合系统的数值方法，该方程具有小参数乘以最高导数。建立了数值解和数值导数的参数均匀误差界限。提供数值结果来说明理论结果。
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.