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A numerical scheme to approximate the solution of a singularly perturbed nonlinear differential equation - MaRDI portal

A numerical scheme to approximate the solution of a singularly perturbed nonlinear differential equation (Q808630)

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scientific article; zbMATH DE number 4211398
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A numerical scheme to approximate the solution of a singularly perturbed nonlinear differential equation
scientific article; zbMATH DE number 4211398

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    A numerical scheme to approximate the solution of a singularly perturbed nonlinear differential equation (English)
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    1991
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    For the numerical solution of the scalar differential equation \(\epsilon y'(x)=f(x,y), 0<\epsilon \ll 1,\) a variable step algorithm is suggested whose convergence is uniform in \(\epsilon\).
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    singular perturbation
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    adaptive grids
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    uniform convergence
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    nonuniform mesh
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    numerical results
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    difference schemes
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    variable step algorithm
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