Simulations of four independent groups of hamiltonian circuited unknowns in the numerical solutions of elliptic partial differential equations

Document Type

Article

Publication Date

1-1-2000

Abstract

Past experiments on Hamiltonian circuited simulations of the partial differential equation of the Poisson type have indicated the influences of the Hamiltonian circuits on algebraic structures of coefficients matrices. The need to tend to the usage of finite difference schemes is also observed. A certain Hamiltonian circuit is found to enable the decomposition of the space of simulated points into two subspaces. This paper reports that the space can in fact be separated into four subspaces. Numerical simulations are carried out using a 7-point finite difference star. The results are compared with those obtained when the simulated points are divided into only two disjoint sets.

Keywords

Computer simulation, Finite difference method, Hamiltonians, Mathematical models, Matrix algebra, Poisson equation

Publication Title

International Journal of Computer Mathematics

ISSN

0020-7160

Divisions

MathematicalSciences

Volume

76

Issue

1

Publisher

Taylor & Francis

Additional Information

Shariffudin, R.H. Institute of Mathematical Sciences, University of Malaya, 50603 Kuala Lumpur, Malaysia.

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