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dc.contributor.authorNurul Akmal, Mohamed-
dc.contributor.authorNur Fadhilah, Ibrahim-
dc.contributor.authorMohd Rozni, Md Yusof-
dc.contributor.authorNurul Farihan, Mohamed-
dc.contributor.authorNurul Huda, Mohamed-
dc.date.accessioned2017-05-21T08:42:07Z-
dc.date.available2017-05-21T08:42:07Z-
dc.date.issued2016-01-11-
dc.identifier.citationVol.78;No.6-5;71-77p.en_US
dc.identifier.issn2180 3722-
dc.identifier.urihttp://hdl.handle.net/123456789/5989-
dc.description.abstractIn this paper, we present the numerical results of the Boundary - Domain Integro - Differential Equation (BDIDE) associated to Dirichlet problem for an elliptic type Partial Differential Equation (PDE) with a variable coefficient. The numerical constructions are based on discretizing the boundary of the problem region by utilizing continuous linear iso - parametric elements while the domain of the problem region is mesh ed by using iso - parametric quadrilateral bilinear domain elements. We also use a semi - analytic method to handle the integration that exhibits logarithmic singularity instead of using Gauss - Laguare quadrature formula. The numerical results that employed the semi - analytic method give better accuracy as compared to those when we use Gauss - Laguerre quadrature formula. The system of equations that obtained by the discretized BDIDE is solved by an iterative method (Neumann series expansion) as well as a direct me thod (LU decomposition method). From our numerical experiments on all test domains, the relative errors of the solutions when applying semi - analytic method are smaller than when we use Gauss - Laguerre quadrature formula for the integration with logarithmic singularity. Unlike Dirichlet Boundary Integral Equation (BIE), the spectral properties of the Dirichlet BDIDE is not known. The Neumann iterations will converge to the solution if and only if the spectral radius of matrix operator is less than 1. In our n umerical experiment on all the test domains, the Neumann series does converge. It gives some conclusions for the spectral properties of the Dirichlet BDIDE even though more experiments on the general Dirichlet problems need to be carried outen_US
dc.language.isoenen_US
dc.publisherJurnal Teknologien_US
dc.subjectBo undary - domain integro - differential equatioen_US
dc.subjectDirichlet problemen_US
dc.subjectPartial differential equationen_US
dc.subjectSemi - analytic integration methoden_US
dc.titleImplementations Of Boundary Domain Integro Differential Equation For Dirichlet Bvp With Variable Coefficienten_US
dc.typeArticleen_US
Appears in Collections:Journal Articles



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