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An almost fourth order uniformly convergent scheme for reaction-diffusion problems on a piecewise uniform grid
Vanja Vukoslavčević Faculty of Sciences, University of Montenegro
Abstract:
For the problem: $-\varepsilon y^{\prime\prime}(x) + p(x) y(x) = f(x),\;\: x \in D, \;\: y(0)=\alpha_{0},\, y(1)=\alpha_{1}$ the spline difference schemes on a piecewise mesh having the second order of uniform convergence are given. Also, in this paper is presented a construction of an uniformly convergent scheme with an almost fourth order of uniform convergence on a Shishkin mesh.
Received: 21.05.2011
Citation:
Vanja Vukoslavčević, “An almost fourth order uniformly convergent scheme for reaction-diffusion problems on a piecewise uniform grid”, Chebyshevskii Sb., 12:1 (2011), 51–59
Linking options:
https://www.mathnet.ru/eng/cheb59 https://www.mathnet.ru/eng/cheb/v12/i1/p51
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Abstract page: | 303 | Full-text PDF : | 92 | References: | 29 | First page: | 1 |
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