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A parameter uniform almost first order convergent numerical method for a non-linear system of singularly perturbed differential equations

Publication Type : Journal Article

Source : Biomath 5 (2016), 1608111.

Url : https://www.researchgate.net/publication/308015735_A_parameter_uniform_almost_first_order_convergent_numerical_method_for_non-linear_system_of_singularly_perturbed_differential_equations

Campus : Chennai

School : School of Engineering

Department : Mathematics

Year : 2016

Abstract : In this paper an initial value problem for a non-linear system of two singularly perturbed first order differential equations is considered on the interval (0,1].The components of the solution of this system exhibit initial layers at 0. A numerical method composed of a classical finite difference scheme on a piecewise uniform Shishkin mesh is suggested. This method is proved to be almost first order convergent in the maximum norm uniformly in the perturbation parameters.

Cite this Research Publication : R. Ishwariya, J. Princy Merlin, J.J.H. Miller, S. Valarmathi, "A parameter uniform almost first order convergent numerical method for a non-linear system of singularly perturbed differential equations", Biomath 5 (2016), 1608111.

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