Splitting method for solving systems of nonlinear evolution equations (Q5895256)
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scientific article; zbMATH DE number 4174261
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Splitting method for solving systems of nonlinear evolution equations |
scientific article; zbMATH DE number 4174261 |
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Splitting method for solving systems of nonlinear evolution equations (English)
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1990
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Boundary value problems for systems of non-stationary Schrödinger equations and nonlinear parabolic equations are investigated. A splitting scheme for the method of lines is used. The convergence of the scheme in \(L_ 2\) and C norms and an estimate of the first and less of the first order temporal accuracy are proved. Stability with respect to the initial data is obtained.
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Schrödinger equations
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nonlinear parabolic equations
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splitting scheme
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method of lines
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convergence
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Stability
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