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Analysis of Two‐Dimensional Heat Transfer Problem Using the Boundary Integral Equation

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  • Nimona Ketema Kebeba
  • Gizaw Debito Haifo

Abstract

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.

Suggested Citation

  • Nimona Ketema Kebeba & Gizaw Debito Haifo, 2022. "Analysis of Two‐Dimensional Heat Transfer Problem Using the Boundary Integral Equation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:1889774
    DOI: 10.1155/2022/1889774
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    1. Tyn Myint-U & Lokenath Debnath, 2007. "Linear Partial Differential Equations for Scientists and Engineers," Springer Books, Springer, edition 0, number 978-0-8176-4560-1, March.
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