Bibliographic Details
| Title: |
Some splitting methods for hyperbolic PDEs. |
| Authors: |
Hosseini, Rasool1 (AUTHOR) rasool.hosseini@math.iut.ac.ir, Tatari, Mehdi1,2 (AUTHOR) mtatari@cc.iut.ac.ir |
| Source: |
Applied Numerical Mathematics. Dec2019, Vol. 146, p361-378. 18p. |
| Subjects: |
Burgers' equation, Nonlinear equations, Maximum principles (Mathematics) |
| Abstract: |
In this work, a new splitting technique is implemented for solving hyperbolic PDEs. As the main result, the new methods preserve the maximum principle unconditionally or with a mild condition on discretization parameters in comparison with well known methods. Damping of numerical solution in time evolution is investigated. For numerical solution of the Burgers' equation, as a nonlinear problem, an iterative method based on the new splitting technique is presented. Efficiency of the new methods is examined via numerical examples. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
