Analysis of Two-Dimensional Heat Transfer Problem Using the Boundary Integral Equation
In this paper, we examine the problem of two-dimensional heat equations with certain initial and boundary conditions being considered. In a two-dimensional heat transport problem, the boundary integral equation technique was applied. The problem is expressed by an integral equation using the fundame...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/1889774 |
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| _version_ | 1832561627219623936 |
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| author | Nimona Ketema Kebeba Gizaw Debito Haifo |
| author_facet | Nimona Ketema Kebeba Gizaw Debito Haifo |
| author_sort | Nimona Ketema Kebeba |
| collection | DOAJ |
| description | In this paper, we examine the problem of two-dimensional heat equations with certain initial and boundary conditions being considered. In a two-dimensional heat transport problem, the boundary integral equation technique was applied. The problem is expressed by an integral equation using the fundamental solution in Green’s identity. In this study, we transform the boundary value problem for the steady-state heat transfer problem into a boundary integral equation and drive the solution of the two-dimensional heat transfer problem using the boundary integral equation for the mixed boundary value problem by using Green’s identity and fundamental solution. |
| format | Article |
| id | doaj-art-3f212d4f0def4a92ba2a1bd8696ef4a5 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-3f212d4f0def4a92ba2a1bd8696ef4a52025-02-03T01:24:36ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/1889774Analysis of Two-Dimensional Heat Transfer Problem Using the Boundary Integral EquationNimona Ketema Kebeba0Gizaw Debito Haifo1Department of MathematicsDepartment of MathematicsIn this paper, we examine the problem of two-dimensional heat equations with certain initial and boundary conditions being considered. In a two-dimensional heat transport problem, the boundary integral equation technique was applied. The problem is expressed by an integral equation using the fundamental solution in Green’s identity. In this study, we transform the boundary value problem for the steady-state heat transfer problem into a boundary integral equation and drive the solution of the two-dimensional heat transfer problem using the boundary integral equation for the mixed boundary value problem by using Green’s identity and fundamental solution.http://dx.doi.org/10.1155/2022/1889774 |
| spellingShingle | Nimona Ketema Kebeba Gizaw Debito Haifo Analysis of Two-Dimensional Heat Transfer Problem Using the Boundary Integral Equation Advances in Mathematical Physics |
| title | Analysis of Two-Dimensional Heat Transfer Problem Using the Boundary Integral Equation |
| title_full | Analysis of Two-Dimensional Heat Transfer Problem Using the Boundary Integral Equation |
| title_fullStr | Analysis of Two-Dimensional Heat Transfer Problem Using the Boundary Integral Equation |
| title_full_unstemmed | Analysis of Two-Dimensional Heat Transfer Problem Using the Boundary Integral Equation |
| title_short | Analysis of Two-Dimensional Heat Transfer Problem Using the Boundary Integral Equation |
| title_sort | analysis of two dimensional heat transfer problem using the boundary integral equation |
| url | http://dx.doi.org/10.1155/2022/1889774 |
| work_keys_str_mv | AT nimonaketemakebeba analysisoftwodimensionalheattransferproblemusingtheboundaryintegralequation AT gizawdebitohaifo analysisoftwodimensionalheattransferproblemusingtheboundaryintegralequation |