A Domain-Boundary Integral Treatment of Transient Scalar Transport with Memory ()
ABSTRACT
It is well known that the boundary element
method (BEM) is capable of converting a boundary- value equation into its
discrete analog by a judicious application of the Green’s identity and complementary
equation. However, for many challenging problems, the fundamental solution is
either not available in a cheaply computable form or does not exist at all.
Even when the fundamental solution does exist, it appears in a form that is
highly non-local which inadvertently leads to a sys-tem of equations with a
fully populated matrix. In this paper, fundamental solution of an auxiliary
form of a governing partial differential equation coupled with the Green
identity is used to discretize and localize an integro-partial differential
transport equation by conversion into a boundary-domain form amenable to a
hybrid boundary integral numerical formulation. It is observed that the
numerical technique applied herein is able to accurately represent numerical
and closed form solutions available in literature.
Share and Cite:
Onyejekwe, O. (2016) A Domain-Boundary Integral Treatment of Transient Scalar Transport with Memory.
Applied Mathematics,
7, 1241-1247. doi:
10.4236/am.2016.711109.
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