Hermite interpolant multiscaling functions for numerical solution of the convection diffusion equations
A numerical technique based on the Hermite interpolant multiscaling functions is presented for the solution of Convection-diusion equations. The operational matrices of derivative, integration and product are presented for multiscaling functions and are utilized to reduce the solution of linear Conv...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática
2018-04-01
|
| Series: | Boletim da Sociedade Paranaense de Matemática |
| Subjects: | |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/30447 |
| _version_ | 1797633392387293184 |
|---|---|
| author | Elmira Ashpazzadeh Mehrdad Lakestani |
| author_facet | Elmira Ashpazzadeh Mehrdad Lakestani |
| author_sort | Elmira Ashpazzadeh |
| collection | DOAJ |
| description | A numerical technique based on the Hermite interpolant multiscaling functions is presented for the solution of Convection-diusion equations. The operational matrices of derivative, integration and product are presented for multiscaling functions and are utilized to reduce the solution of linear Convection-diusion equation to the solution of algebraic equations. Because of sparsity of these matrices, this method is computationally very attractive and reduces the CPU time and computer memory. Illustrative examples are included to demonstrate the validity and applicability of the new technique. |
| first_indexed | 2024-03-11T11:53:27Z |
| format | Article |
| id | doaj.art-0877d99118d242ab976a1ce572687081 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T11:53:27Z |
| publishDate | 2018-04-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-0877d99118d242ab976a1ce5726870812023-11-08T20:10:34ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882018-04-0136210.5269/bspm.v36i2.3044715437Hermite interpolant multiscaling functions for numerical solution of the convection diffusion equationsElmira Ashpazzadeh0Mehrdad Lakestani1University of TabrizUniversity of TabrizA numerical technique based on the Hermite interpolant multiscaling functions is presented for the solution of Convection-diusion equations. The operational matrices of derivative, integration and product are presented for multiscaling functions and are utilized to reduce the solution of linear Convection-diusion equation to the solution of algebraic equations. Because of sparsity of these matrices, this method is computationally very attractive and reduces the CPU time and computer memory. Illustrative examples are included to demonstrate the validity and applicability of the new technique.https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/30447Hermite interpolant multiscaling functionsBiorthogonal multiscaling functionsConvection-diffusion equationoperational matrix of derivativeOperational matrix of integrationoperational matrix of product |
| spellingShingle | Elmira Ashpazzadeh Mehrdad Lakestani Hermite interpolant multiscaling functions for numerical solution of the convection diffusion equations Boletim da Sociedade Paranaense de Matemática Hermite interpolant multiscaling functions Biorthogonal multiscaling functions Convection-diffusion equation operational matrix of derivative Operational matrix of integration operational matrix of product |
| title | Hermite interpolant multiscaling functions for numerical solution of the convection diffusion equations |
| title_full | Hermite interpolant multiscaling functions for numerical solution of the convection diffusion equations |
| title_fullStr | Hermite interpolant multiscaling functions for numerical solution of the convection diffusion equations |
| title_full_unstemmed | Hermite interpolant multiscaling functions for numerical solution of the convection diffusion equations |
| title_short | Hermite interpolant multiscaling functions for numerical solution of the convection diffusion equations |
| title_sort | hermite interpolant multiscaling functions for numerical solution of the convection diffusion equations |
| topic | Hermite interpolant multiscaling functions Biorthogonal multiscaling functions Convection-diffusion equation operational matrix of derivative Operational matrix of integration operational matrix of product |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/30447 |
| work_keys_str_mv | AT elmiraashpazzadeh hermiteinterpolantmultiscalingfunctionsfornumericalsolutionoftheconvectiondiffusionequations AT mehrdadlakestani hermiteinterpolantmultiscalingfunctionsfornumericalsolutionoftheconvectiondiffusionequations |