Solution of linear system of algebraic equations with a sparse coefficient matrix.

Unsal, Muzaffer A


Solution of the nonlinear diffusion equation using the dual reciprocity boundary element method and the relaxation type time integration scheme
Meral, G (2005-03-18)
We present the combined application of the dual reciprocity boundary element method (DRBEM) and the finite difference method (FDM) with a relaxation parameter to the nonlinear diffusion equation: partial derivative u/partial derivative t = V del(2)u + p(u) at where p(u) is the nonlinear term. The DRBEM is employed to discretize the spatial partial derivatives by using the fundamental solution of the Laplace operator, keeping the time derivative and the nonlinearity as the nonhomogeneous terms in the equatio...
Solution of helmholtz type equations by differential quadrature method
Kuruş, Gülay; Tezer, Münevver; Department of Mathematics (2004)
This thesis presents the Differential Quadrature Method (DQM) for solving Helmholtz, modified Helmholtz and Helmholtz eigenvalue-eigenvector equations. The equations are discretized by using Polynomial-based and Fourier-based differential quadrature technique wich use basically polynomial interpolation for the solution of differential equation.
Solution of Potential Integral Equations with NSPWMLFMA
Khalichi, Bahram; Ergül, Özgür Salih; Takrimi, Manouchehr; ERTÜRK, VAKUR BEHÇET (2018-07-13)
In this contribution, we present a numerical implementation of recently developed potential integral equations (PIEs) by using nondirective stable plane wave multilevel fast multipole algorithm (NSPWMLFMA). The proposed method is efficient and accurate to solve large scattering problems involving perfectly conducting bodies with geometrical details, which require dense discretizations with respect to the operating wavelength. Numerical results in the form of scattered field from various objects are provided...
Solution of axisymmetrically loaded spherical shells.
Ulku, Metin Mehmet; Department of Civil Engineering (1973)
Solution of inverse problem of electrocardiography using state space models
Aydın, Ümit; Serinağaoğlu Doğrusöz, Yeşim; Department of Electrical and Electronics Engineering (2009)
Heart is a vital organ that pumps blood to whole body. Synchronous contraction of the heart muscles assures that the required blood flow is supplied to organs. But sometimes the synchrony between those muscles is distorted, which results in reduced cardiac output that might lead to severe diseases, and even death. The most common of heart diseases are myocardial infarction and arrhythmias. The contraction of heart muscles is controlled by the electrical activity of the heart, therefore determination of that...
Citation Formats
M. A. Unsal, “Solution of linear system of algebraic equations with a sparse coefficient matrix.,” Middle East Technical University, 1976.