An approximate analytic solution of a particular boundary value problem
This note is concerned with the three-dimensional quasi-steady-state heat conduction equation subject to certain boundary conditions in the whole x′y′-plane and finite in z′-direction. This type of boundary value problem arises in laser welding process. The solution to this problem can be represente...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201006469 |
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| _version_ | 1832548013984186368 |
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| author | Ugur Tanriver Aravinda Kar |
| author_facet | Ugur Tanriver Aravinda Kar |
| author_sort | Ugur Tanriver |
| collection | DOAJ |
| description | This note is concerned with the three-dimensional quasi-steady-state
heat conduction equation subject to certain boundary conditions in the whole x′y′-plane and finite in z′-direction. This type of boundary value problem arises in laser welding
process. The solution to this problem can be represented by an
integral using Fourier analysis. This integral is approximated to
obtain a simple analytic expression for the temperature distribution. |
| format | Article |
| id | doaj-art-cb3ed229a08a4409aad6fcd0900a2012 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-cb3ed229a08a4409aad6fcd0900a20122025-02-03T06:42:27ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0127851352010.1155/S0161171201006469An approximate analytic solution of a particular boundary value problemUgur Tanriver0Aravinda Kar1School of Optics, Center for Research and Education in Optics and Lasers (CREOL), Mechanical, Materials and Aerospace Engineering Department, University of Central Florida, Orlando, FL 32816, USASchool of Optics, Center for Research and Education in Optics and Lasers (CREOL), Mechanical, Materials and Aerospace Engineering Department, University of Central Florida, Orlando, FL 32816, USAThis note is concerned with the three-dimensional quasi-steady-state heat conduction equation subject to certain boundary conditions in the whole x′y′-plane and finite in z′-direction. This type of boundary value problem arises in laser welding process. The solution to this problem can be represented by an integral using Fourier analysis. This integral is approximated to obtain a simple analytic expression for the temperature distribution.http://dx.doi.org/10.1155/S0161171201006469 |
| spellingShingle | Ugur Tanriver Aravinda Kar An approximate analytic solution of a particular boundary value problem International Journal of Mathematics and Mathematical Sciences |
| title | An approximate analytic solution of a particular boundary value problem |
| title_full | An approximate analytic solution of a particular boundary value problem |
| title_fullStr | An approximate analytic solution of a particular boundary value problem |
| title_full_unstemmed | An approximate analytic solution of a particular boundary value problem |
| title_short | An approximate analytic solution of a particular boundary value problem |
| title_sort | approximate analytic solution of a particular boundary value problem |
| url | http://dx.doi.org/10.1155/S0161171201006469 |
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