Abstract
The boundary domain integral equation (BDIE) method provides an alternative formulation to a boundary value problem (BVP) with variable coefficient in terms of integral operators defined on the boundary and the domain. In this paper, we apply two variants of the boundary domain integral equation, the united approach and the segregated approach, to the Dirichlet BVP for the steady diffusion equation with variable coefficient in two dimensions. Details on the derivation of such systems as well as equivalence and well-posedness results are provided. Moreover, we present the discretisation of the two integral equation systems and a comparison of the numerical behaviour of the approximated solutions obtained with the segregated approach and the united approach.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
