A NUMERICAL SOLUTION OF A HELMHOLTZ EQUATION USING BOUNDARY ELEMENTS
Helmholtz equation is a well known differential equation. Most boundary value problems involving this equation are either difficult or impossible to solve analytically. In this study, we employ a dual reciprocity boundary element method (DRBEM) to solve these problems. On the boundary and in the...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2010
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| Subjects: | |
| Online Access: | https://repository.ugm.ac.id/134870/1/Imamspaper.pdf |
| _version_ | 1826049304255528960 |
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| author | Solekhudin, Imam Ang, Keng-Cheng |
| author_facet | Solekhudin, Imam Ang, Keng-Cheng |
| author_sort | Solekhudin, Imam |
| collection | UGM |
| description | Helmholtz equation is a well known differential equation. Most
boundary value problems involving this equation are either difficult
or impossible to solve analytically. In this study, we employ a dual
reciprocity boundary element method (DRBEM) to solve these problems.
On the boundary and in the region bounded by the boundary, a set of
collocation points is chosen for the DRBEM. The computational
algorithm requires setting up and solving a system of linear
algebraic equation of the form, AX = B, based on this set of
collocation points. The solution to the boundary value problem is
therefore approximated by the solution of the algebraic equations.
Examples are presented to test this method, and results obtained are
compared with their corresponding analytic solutions. |
| first_indexed | 2024-03-13T23:43:49Z |
| format | Conference or Workshop Item |
| id | oai:generic.eprints.org:134870 |
| institution | Universiti Gadjah Mada |
| language | English |
| last_indexed | 2024-03-13T23:43:49Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | oai:generic.eprints.org:1348702016-03-07T07:18:13Z https://repository.ugm.ac.id/134870/ A NUMERICAL SOLUTION OF A HELMHOLTZ EQUATION USING BOUNDARY ELEMENTS Solekhudin, Imam Ang, Keng-Cheng Pure Mathematics Helmholtz equation is a well known differential equation. Most boundary value problems involving this equation are either difficult or impossible to solve analytically. In this study, we employ a dual reciprocity boundary element method (DRBEM) to solve these problems. On the boundary and in the region bounded by the boundary, a set of collocation points is chosen for the DRBEM. The computational algorithm requires setting up and solving a system of linear algebraic equation of the form, AX = B, based on this set of collocation points. The solution to the boundary value problem is therefore approximated by the solution of the algebraic equations. Examples are presented to test this method, and results obtained are compared with their corresponding analytic solutions. 2010 Conference or Workshop Item PeerReviewed application/pdf en https://repository.ugm.ac.id/134870/1/Imamspaper.pdf Solekhudin, Imam and Ang, Keng-Cheng (2010) A NUMERICAL SOLUTION OF A HELMHOLTZ EQUATION USING BOUNDARY ELEMENTS. In: International Conference on Algebra 2010. (Unpublished) |
| spellingShingle | Pure Mathematics Solekhudin, Imam Ang, Keng-Cheng A NUMERICAL SOLUTION OF A HELMHOLTZ EQUATION USING BOUNDARY ELEMENTS |
| title | A NUMERICAL SOLUTION OF A HELMHOLTZ EQUATION USING
BOUNDARY ELEMENTS |
| title_full | A NUMERICAL SOLUTION OF A HELMHOLTZ EQUATION USING
BOUNDARY ELEMENTS |
| title_fullStr | A NUMERICAL SOLUTION OF A HELMHOLTZ EQUATION USING
BOUNDARY ELEMENTS |
| title_full_unstemmed | A NUMERICAL SOLUTION OF A HELMHOLTZ EQUATION USING
BOUNDARY ELEMENTS |
| title_short | A NUMERICAL SOLUTION OF A HELMHOLTZ EQUATION USING
BOUNDARY ELEMENTS |
| title_sort | numerical solution of a helmholtz equation using boundary elements |
| topic | Pure Mathematics |
| url | https://repository.ugm.ac.id/134870/1/Imamspaper.pdf |
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