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Full-Text Articles in Ordinary Differential Equations and Applied Dynamics

A Forward-Backward Fluence Model For The Low-Energy Neutron Boltzmann Equation, Gary Alan Feldman Jul 2003

A Forward-Backward Fluence Model For The Low-Energy Neutron Boltzmann Equation, Gary Alan Feldman

Mathematics & Statistics Theses & Dissertations

In this research work, the neutron Boltzmann equation was separated into two coupled integro-differential equations describing forward and backward neutron fluence in selected materials. Linear B-splines were used to change the integro-differential equations into a coupled system of ordinary differential equations (O.D.E.'s). Difference approximations were then used to recast the O.D.E.'s into a coupled system of linear equations that were solved for forward and backward neutron fluences. Adding forward and backward fluences gave the total fluence at selected energies and depths in the material. Neutron fluences were computed in single material shields and in a shield followed by a target …


A New Method For Ranking Of Fuzzy Numbers Through Using Distance Method, S. Abbasbandy, C. Lucas, B. Asady Jan 2003

A New Method For Ranking Of Fuzzy Numbers Through Using Distance Method, S. Abbasbandy, C. Lucas, B. Asady

Saeid Abbasbandy

In this paper, by using a new approach on distance between two fuzzy numbers, we construct a new ranking system for fuzzy number which is very realistic and also matching our intuition as the crisp ranking system on R.


Fuzzy Interpolation, S. Abbasbandy Jan 2003

Fuzzy Interpolation, S. Abbasbandy

Saeid Abbasbandy

In this paper, we will consider the interpolation of fuzzy data by a continuous fuzzy-valued function. We will use Lagrange polynomials, natural splines and complete splines.