FINDING EIGENVALUES AND CORRESPONDING EIGENVECTORS THROUGH APPLYING (F.E.M) TO ELLIPTIC (P.D.E) USING DIFFERENT METHODS
DOI:
https://doi.org/10.53555/eijas.v2i1.145Keywords:
Power method, Symmetric power method, Eigenvalues, Elliptic partial differential equations, Finite element methodsAbstract
In this paper the power method and the symmetric power method are applied to the matrix H which was otained from a linear system Hx = b. This system was derived from an elliptic partial differential equation by adopting the finite element method in order to find eigenvalues and the corresponding eigenvectors. These methods are applied to two examples. The different of the two examples are compared to find out the differences between them. The paper has shown that the use of symmetric power method leads to a large eigenvalue if compared to the use of the power method.
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