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A numerical method for finding positive solution of diffusive logistic equation - MaRDI portal

A numerical method for finding positive solution of diffusive logistic equation (Q2383920)

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A numerical method for finding positive solution of diffusive logistic equation
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    A numerical method for finding positive solution of diffusive logistic equation (English)
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    19 September 2007
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    A nonlinear boundary value problem with Dirichlet boundary conditions, i.e., the diffusive logistic equation is studied. A numerical method based on the `sub-super' solution is proposed. An example in two space dimensions using finite differences illustrates the algorithm.
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    nonlinear boundary value problem
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    numerical example
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    sub-super solutions
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    diffusive logistic equation
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    finite differences
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    positive solution
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