Numerical solution of 3-feather rose coefficient in bivariate Schrodinger equation by rectangular FEM
In this work, we approximate a typical model form of bivariate static Schrödinger Equation by an appropriate approach based on bilinear finite element method (FEM), then we obtain the results of the PDE on a new type 3 feather rose coefficient function in a rectangular domain i. e., eigenfunctions o...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Qom University of Technology
2021-05-01
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| Series: | Mathematics and Computational Sciences |
| Subjects: | |
| Online Access: | https://mcs.qut.ac.ir/article_243932_5ac5860eb06343d4e12fce083a251f69.pdf |
| _version_ | 1797323993135448064 |
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| author | M Ghorbani M Moeini M Jamie |
| author_facet | M Ghorbani M Moeini M Jamie |
| author_sort | M Ghorbani |
| collection | DOAJ |
| description | In this work, we approximate a typical model form of bivariate static Schrödinger Equation by an appropriate approach based on bilinear finite element method (FEM), then we obtain the results of the PDE on a new type 3 feather rose coefficient function in a rectangular domain i. e., eigenfunctions or solutions. In fact, we search for influence of 3-feather rose and pass by a weak singularity barrier in the origin. We also obtain approximate eigenvalues and final stiffness matrix elements. This paper is accompanied by examples of the novel Schrodinger’s model. |
| first_indexed | 2024-03-08T05:36:02Z |
| format | Article |
| id | doaj.art-9014fe67a54f4bc48ff3f510e1731be4 |
| institution | Directory Open Access Journal |
| issn | 2717-2708 |
| language | English |
| last_indexed | 2024-03-08T05:36:02Z |
| publishDate | 2021-05-01 |
| publisher | Qom University of Technology |
| record_format | Article |
| series | Mathematics and Computational Sciences |
| spelling | doaj.art-9014fe67a54f4bc48ff3f510e1731be42024-02-05T19:34:52ZengQom University of TechnologyMathematics and Computational Sciences2717-27082021-05-0122233810.30511/mcs.2021.526850.1019243932Numerical solution of 3-feather rose coefficient in bivariate Schrodinger equation by rectangular FEMM Ghorbani0M Moeini1M Jamie2Department of mathematics, Qom University of TechnologyDepartment of Mathematics, Roudehen Branch, Islamic Azad University of Tehran, Roudehen, IranDepartment of Mathematics, Qom University of Technology (QUT), Qom, IranIn this work, we approximate a typical model form of bivariate static Schrödinger Equation by an appropriate approach based on bilinear finite element method (FEM), then we obtain the results of the PDE on a new type 3 feather rose coefficient function in a rectangular domain i. e., eigenfunctions or solutions. In fact, we search for influence of 3-feather rose and pass by a weak singularity barrier in the origin. We also obtain approximate eigenvalues and final stiffness matrix elements. This paper is accompanied by examples of the novel Schrodinger’s model.https://mcs.qut.ac.ir/article_243932_5ac5860eb06343d4e12fce083a251f69.pdfrectangular and bilinear finite elementsschrodinger equation3 feather rose form potentialvariable schrodinger coefficientgalerkin method |
| spellingShingle | M Ghorbani M Moeini M Jamie Numerical solution of 3-feather rose coefficient in bivariate Schrodinger equation by rectangular FEM Mathematics and Computational Sciences rectangular and bilinear finite elements schrodinger equation 3 feather rose form potential variable schrodinger coefficient galerkin method |
| title | Numerical solution of 3-feather rose coefficient in bivariate Schrodinger equation by rectangular FEM |
| title_full | Numerical solution of 3-feather rose coefficient in bivariate Schrodinger equation by rectangular FEM |
| title_fullStr | Numerical solution of 3-feather rose coefficient in bivariate Schrodinger equation by rectangular FEM |
| title_full_unstemmed | Numerical solution of 3-feather rose coefficient in bivariate Schrodinger equation by rectangular FEM |
| title_short | Numerical solution of 3-feather rose coefficient in bivariate Schrodinger equation by rectangular FEM |
| title_sort | numerical solution of 3 feather rose coefficient in bivariate schrodinger equation by rectangular fem |
| topic | rectangular and bilinear finite elements schrodinger equation 3 feather rose form potential variable schrodinger coefficient galerkin method |
| url | https://mcs.qut.ac.ir/article_243932_5ac5860eb06343d4e12fce083a251f69.pdf |
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