Abstract
We study a coupled system of two singularly perturbed linear reaction-diffusion equations with discontinuous source term. A central difference scheme on layer-adapted piecewise-uniform mesh is used to solve the system numerically. The scheme is proved to be almost first order uniformly convergent, even for the case in which the diffusion parameter associated with each equation of the system has a different order of magnitude. Numerical results are presented to support the theoretical results.
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Rao, S.C.S., Chawla, S. (2013). Interior Layers in Coupled System of Two Singularly Perturbed Reaction-Diffusion Equations with Discontinuous Source Term. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Numerical Analysis and Its Applications. NAA 2012. Lecture Notes in Computer Science, vol 8236. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41515-9_50
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DOI: https://doi.org/10.1007/978-3-642-41515-9_50
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-41514-2
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