A parameter uniform almost first order convergent numerical method for non-linear system of singularly perturbed differential equations
Keyword(s):
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.
Keyword(s):
1950 ◽
Vol 29
(1-4)
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pp. 300-302
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2016 ◽
1968 ◽
Vol 13
(2)
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pp. 201-202
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1985 ◽
Vol 31
(2)
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pp. 293-307