A finite difference method for Burgers' equation in the unbounded domain using artificial boundary conditions (Q2794908)
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scientific article; zbMATH DE number 6554584
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A finite difference method for Burgers' equation in the unbounded domain using artificial boundary conditions |
scientific article; zbMATH DE number 6554584 |
Statements
11 March 2016
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Hopf-Cole transformation
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artificial boundary conditions
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stability
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convergence
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finite difference method
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Burgers' equation
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unbounded domain
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numerical example
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A finite difference method for Burgers' equation in the unbounded domain using artificial boundary conditions (English)
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The authors study a finite difference method for Burgers' equation in an unbounded domain using artificial boundary conditions. They first construct a finite difference scheme, then they obtain a new solution of Burgers' equation and avoid the difficulty of solving the nonlinear problem. In addition, they prove that the finite difference scheme is uniquely solvable, unconditionally stable and convergent with order \(2\) in space and \(3/2\) in time. A numerical example confirming the stability and convergence of the finite difference method is presented.
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