dc.contributor.author | Onyejekwe, Okey O. | |
dc.date.accessioned | 2016-07-21T12:24:56Z | |
dc.date.available | 2016-07-21T12:24:56Z | |
dc.date.issued | 2016-07 | |
dc.identifier.uri | http://dx.doi.org/10.4236/am.2016.711109 | |
dc.identifier.uri | http://hdl.handle.net/123456789/873 | |
dc.description.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. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Scientific Research Publishing | en_US |
dc.relation.ispartofseries | Applied Mathematics, 2016, 7, 1241-1247; | |
dc.subject | Boundary Element Method | en_US |
dc.subject | Green’s Identity | en_US |
dc.subject | Complementary Equation | en_US |
dc.subject | Fundamental Solution | en_US |
dc.subject | Hybrid Formulation | en_US |
dc.subject | Integro-Differential Transport Equation | en_US |
dc.title | A Domain-Boundary Integral Treatment of Transient Scalar Transport with Memory | en_US |
dc.type | Article | en_US |