Blow-up of finite-difference solutions to nonlinear wave equations (Q2804482)
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scientific article; zbMATH DE number 6575414
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Blow-up of finite-difference solutions to nonlinear wave equations |
scientific article; zbMATH DE number 6575414 |
Statements
29 April 2016
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nonlinear wave equation
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blow-up
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finite difference solution
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convergence
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numerical example
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Blow-up of finite-difference solutions to nonlinear wave equations (English)
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The paper deals with the numerical blow-up solutions of the nonlinear wave equation with power nonlinearity. The authors propose an explicit and an implicit difference scheme based on a product representation of the linear wave operator. The convergence of the difference schemes and of the numerical blow-up time as the discretization parameters tend to zero are shown. Numerical examples illustrate the validity of the theoretical results.
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