In this paper, an important study on the application of the α family of temporal discretization is presented. For spatial discretization, the Least Squares Finite Element Method (LSFEM) is used. It is expected that this study can be able to advance several other studies within the domain of...

In this paper, an important study on the application of the α family of temporal discretization is presented. For spatial discretization, the Least Squares Finite Element Method (LSFEM) is used. It is expected that this study can be able to advance several other studies within the domain of numerical simulation of physical problems. It is important to note that for all applications we will use a mesh that is considered gross, with the purpose of presenting a method that is robust, precise and mainly computationally economic

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