Time step selection for the numerical solution of boundary value problems for parabolic equations
| Autor: | Petr N. Vabishchevich, Alexander O. Vasilev |
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| Rok vydání: | 2017 |
| Předmět: |
Truncation error (numerical integration)
Mathematical analysis 010103 numerical & computational mathematics Time level Time step 01 natural sciences Parabolic partial differential equation 010101 applied mathematics Computational Mathematics Boundary value problem 0101 mathematics Selection algorithm Selection (genetic algorithm) Mathematics |
| Zdroj: | Computational Mathematics and Mathematical Physics. 57:843-853 |
| ISSN: | 1555-6662 0965-5425 |
| Popis: | An algorithm is proposed for selecting a time step for the numerical solution of boundary value problems for parabolic equations. The solution is found by applying unconditionally stable implicit schemes, while the time step is selected using the solution produced by an explicit scheme. Explicit computational formulas are based on truncation error estimation at a new time level. Numerical results for a model parabolic boundary value problem are presented, which demonstrate the performance of the time step selection algorithm. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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