The meshless local Petrov–Galerkin method based on moving Taylor polynomial approximation to investigate unsteady diffusion–convection problems of anisotropic functionally graded materials related to incompressible flow
| Autor: | Mostafa Abbaszadeh, Mehdi Dehghan, Mohammad Ivan Azis |
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| Rok vydání: | 2021 |
| Předmět: |
Applied Mathematics
General Engineering Ode Petrov–Galerkin method Function (mathematics) Stability (probability) Mathematics::Numerical Analysis Computational Mathematics symbols.namesake Incompressible flow Taylor series symbols Applied mathematics Anisotropy Analysis Mathematics Variable (mathematics) |
| Zdroj: | Engineering Analysis with Boundary Elements. 132:469-480 |
| ISSN: | 0955-7997 |
| DOI: | 10.1016/j.enganabound.2021.06.026 |
| Popis: | This paper concerns to a meshless local Petrov–Galerkin (MLPG) method for studying the unsteady diffusion–convection problems of anisotropic functionally graded materials. A new version of MLPG method based on the moving Taylor polynomial approximation is developed to discrete the spatial variable. Then, we obtain a system of ODEs which depends to the time variable. A strong stability preserving (SSP) Runge–Kutta idea is provided to solve the final ODEs with enough accuracy and stability. Also, the grading function which defines the variable elastic coefficient can be any types of continuous functions. The developed numerical formulation is applied for different examples of non-rectangular domains to check its accuracy. |
| Databáze: | OpenAIRE |
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