Uniformly-Convergent Numerical Methods for a System of Coupled Singularly Perturbed Convection-Diffusion Equations with Mixed Type Boundary Conditions

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dc.contributor.authorMythili Priyadharshini, R.M.
dc.contributor.authorRamanujam, N.
dc.date.accessioned2026-02-05T09:34:55Z
dc.date.issued2013
dc.description.abstractIn 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 subject to the mixed type boundary conditions. We prove that the method has almost second order convergence in the supremum norm independent of the diffusion parameter. Error bounds for the numerical solution and also the numerical derivative are established. Numerical results are provided to illustrate the theoretical results. © 2013 Vilnius Gediminas Technical University, 2013.
dc.identifier.citationMathematical Modelling and Analysis, 2013, 18, 5, pp. 577-598
dc.identifier.issn13926292
dc.identifier.urihttps://doi.org/10.3846/13926292.2013.851629
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/26848
dc.publisherTaylor and Francis Ltd.
dc.subjectBoundary conditions
dc.subjectDiffusion in liquids
dc.subjectError analysis
dc.subjectFinite difference method
dc.subjectHeat convection
dc.subjectOrdinary differential equations
dc.subjectCubic spline
dc.subjectFinite difference scheme
dc.subjectmid-point scheme
dc.subjectPiecewise uniform mesh
dc.subjectScaled derivative
dc.subjectSingular perturbation problems
dc.subjectWeakly coupled systems
dc.subjectNumerical methods
dc.titleUniformly-Convergent Numerical Methods for a System of Coupled Singularly Perturbed Convection-Diffusion Equations with Mixed Type Boundary Conditions

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