Hybrid difference schemes for a system of singularly perturbed convection-diffusion equations

다국어 초록 (Multilingual Abstract)

In this paper, two hybrid difference schemes on the Shishkin mesh
are constructed for solving a weakly coupled system of two
singularly perturbed convection-diffusion second order ordinary
differential equations with a small parameter multiplying the
highest derivative. We prove that the schemes are almost second
order convergence in the supremum norm independent of the diffusion
parameter. Error bounds for the numerical solution and its
derivative are established. Numerical results are provided to
illustrate the theoretical results.

다국어 초록 (Multilingual Abstract)

In this paper, two hybrid difference schemes on the Shishkin mesh
are constructed for solving a weakly coupled system of two
singularly perturbed convection-diffusion second order ordinary
differential equations with a small parameter multiplying the
highest derivative. We prove that the schemes are almost second
order convergence in the supremum norm independent of the diffusion
parameter. Error bounds for the numerical solution and its
derivative are established. Numerical results are provided to
illustrate the theoretical results.

참고문헌 (Reference)

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