Author： Babu A. Ramesh Ramanujam N.
Publisher： Taylor & Francis Ltd
ISSN： 0020-7160
Source： International Journal of Computer Mathematics, Vol.88, Iss.8, 2011-05, pp. : 1664-1680
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Abstract
In this paper, we consider singularly perturbed boundary-value problems for second-order ordinary differential equations with discontinuous source term arising in the chemical reactor theory. A parameter-uniform error bound for the solution is established using the streamline-diffusion finite-element method on piecewise uniform meshes. We prove that the method is almost second-order convergence for solution and first-order convergence for its derivative in the maximum norm, independently of the perturbation parameter. Numerical results are provided to substantiate the theoretical results.
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