International Journal of Managment, IT and Engineering
  • Year: 2014
  • Volume: 4
  • Issue: 2

Determination of solutions of one-dimensional transient heat transfer problem by dual reciprocity boundary element method

  • Author:
  • Walter Arthur Nondi, Thomas Onyango, S. N. Muthiga, N. B. Okelo
  • Total Page Count: 11
  • Page Number: 96 to 106

*Catholic University of Eastern Africa, Kenya

**Technical University of Kenya, Kenya

***School of Mathematics and aCtuarial Science, Jaramogi Oginga Odinga University of Science and Technology

Online published on 13 February, 2014.

Abstract

In this paper, we describe a dual-reciprocity boundary element method for the solution of a one-dimensional transient heat equation with a source term. A brief introduction of the development of the boundary element method and DRBEM is given. Discretization of heat equation using BEM and the solution of boundary integral equation is discussed. Due to the presence of the source term, the BEM fails, thus we use the DRBEM which is employed in the non-homogeneous equation. In DRBEM, all the source terms and time-dependent terms are converted into boundary integrals and hence the computational domain of the problem reduces to one.