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DC Field | Value | Language |
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dc.contributor.advisor | Mikhailov, SE | - |
dc.contributor.author | Mohamed, Nurul Akmal | - |
dc.date.accessioned | 2013-07-12T13:32:45Z | - |
dc.date.available | 2013-07-12T13:32:45Z | - |
dc.date.issued | 2013 | - |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/7592 | - |
dc.description | This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University. | en_US |
dc.description.abstract | A numerical implementation of the direct Boundary-Domain Integral Equation (BDIE)/ Boundary-Domain Integro-Differential Equations (BDIDEs) and Localized Boundary-Domain Integral Equation (LBDIE)/Localized Boundary-Domain Integro-Differential Equations (LBDIDEs) related to the Neumann and Dirichlet boundary value problem for a scalar elliptic PDE with variable coefficient is discussed in this thesis. The BDIE and LBDIE related to Neumann problem are reduced to a uniquely solvable one by adding an appropriate perturbation operator. The mesh-based discretisation of the BDIE/BDIDEs and LBDIE/LBDIDEs with quadrilateral domain elements leads to systems of linear algebraic equations (discretised BDIE/BDIDEs/LBDIE/BDIDEs). Then the systems obtained from BDIE/BDIDE (discretised BDIE/BDIDE) are solved by the LU decomposition method and Neumann iterations. Convergence of the iterative method is analyzed in relation with the eigen-values of the corresponding discrete BDIE/BDIDE operators obtained numerically. The systems obtained from LBDIE/LBDIDE (discretised LBDIE/LBDIDE) are solved by the LU decomposition method as the Neumann iteration method diverges. | en_US |
dc.description.sponsorship | This study was funded by the Malaysian Ministry of Higher Education and Sultan Idris Education University. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Brunel University, School of Information Systems, Computing and Mathematics | - |
dc.relation.ispartof | School of Information Systems, Computing and Mathematics | - |
dc.relation.uri | http://bura.brunel.ac.uk/bitstream/2438/7592/1/FulltextThesis.pdf | - |
dc.subject | Localised boundary-domain integral equation | en_US |
dc.subject | Spectrum | en_US |
dc.subject | Neumann series | en_US |
dc.subject | Bilinear interpolation | en_US |
dc.subject | Semi-analytic method | en_US |
dc.title | Numerical solution and spectrum of boundary-domain integral equations | en_US |
dc.type | Thesis | en_US |
Appears in Collections: | Brunel University Theses Dept of Mathematics Theses Mathematical Sciences |
Files in This Item:
File | Description | Size | Format | |
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FulltextThesis.pdf | 860.53 kB | Adobe PDF | View/Open |
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