A splitting method for the augmented Burgers equation
In this paper we consider a splitting method for the augmented Burgers equation and prove that it is of first order. We also analyze the large-time behavior of the approximated solution by obtaining the first term in the asymptotic expansion. We prove that, when time increases, these solutions behav...
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| Veröffentlicht in: | BIT 2018-03, Vol.58 (1), p.73-102 |
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| creator | Ignat, Liviu I. Pozo, Alejandro |
| description | In this paper we consider a splitting method for the augmented Burgers equation and prove that it is of first order. We also analyze the large-time behavior of the approximated solution by obtaining the first term in the asymptotic expansion. We prove that, when time increases, these solutions behave as the self-similar solutions of the viscous Burgers equation. |
| doi_str_mv | 10.1007/s10543-017-0673-x |
| format | Article |
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| language | eng |
| recordid | cdi_proquest_journals_2011350721 |
| source | SpringerNature Complete Journals |
| subjects | Asymptotic series Burgers equation Computational Mathematics and Numerical Analysis Linear equations Mathematics Mathematics and Statistics Numeric Computing Self-similarity Splitting |
| title | A splitting method for the augmented Burgers equation |
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