A local meshless method based on the finite collocation and local integral equations method for delay PDEs
| Autor: | Fariba Takhtabnoos, Ahmad Shirzadi |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Regularized meshless method
Collocation Partial differential equation Applied Mathematics Mathematical analysis General Engineering 010103 numerical & computational mathematics Singular boundary method Computer Science::Numerical Analysis 01 natural sciences Integral equation Mathematics::Numerical Analysis 010101 applied mathematics Computational Mathematics Nonlinear system Computer Science::Computational Engineering Finance and Science Collocation method Orthogonal collocation 0101 mathematics Analysis Mathematics |
| Zdroj: | Engineering Analysis with Boundary Elements. 83:67-73 |
| ISSN: | 0955-7997 |
| DOI: | 10.1016/j.enganabound.2017.07.019 |
| Popis: | A local meshless method based on the finite collocation, local radial basis function (RBF) and MLPG method is proposed for solving the 2D Delay partial differential equations. In fact, instead of collocation of governing equations in the finite collocation method, we propose the use of local weak form of governing equations on the local stencils. The method is used for the numerical solutions of the 2D delay partial differential equations (PDEs). Two delay and one nonlinear multidelay parabolic PDEs are solved as test problems and the comparisons of the results reveal the effectiveness of the method. |
| Databáze: | OpenAIRE |
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