Stability and convergence of difference schemes approximating a nonlocal Steklov boundary value problem of the second class (Q2345838)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability and convergence of difference schemes approximating a nonlocal Steklov boundary value problem of the second class |
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Stability and convergence of difference schemes approximating a nonlocal Steklov boundary value problem of the second class (English)
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21 May 2015
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The paper deals with the finite difference discretization of the heat equation with variable coefficients and nonlocal boundary conditions containing real parameters. The author derives a priori estimates for the solution of the difference problem, which imply the stability and convergence of the constructed difference schemes. Numerical examples, demonstrating the second-order convergence, are presented.
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finite difference scheme
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heat equation
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stability
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convergence
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error bounds
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nonlocal boundary conditions
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numerical example
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