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A new two-level implicit discretization of \(O(k^{2} + kh^{2} + h^{4})\) for the solution of singularly perturbed two-space dimensional non-linear parabolic equations - MaRDI portal

A new two-level implicit discretization of \(O(k^{2} + kh^{2} + h^{4})\) for the solution of singularly perturbed two-space dimensional non-linear parabolic equations (Q2381627)

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A new two-level implicit discretization of \(O(k^{2} + kh^{2} + h^{4})\) for the solution of singularly perturbed two-space dimensional non-linear parabolic equations
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    A new two-level implicit discretization of \(O(k^{2} + kh^{2} + h^{4})\) for the solution of singularly perturbed two-space dimensional non-linear parabolic equations (English)
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    18 September 2007
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    high order compact scheme
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    nonlinear parabolic equation
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    normal derivatives
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    heat equation
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    polar cylindrical coordinates
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    Burgers' equation
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    singular perturbation
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    error estimates
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    stability
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    two-level implicit difference method
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    alternating direction implicit (ADI) method
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    diffusion equation
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    algorithm
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    numerical experiments
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