Physical Investigation of on Nuclear Dynamics Equations in Nanoenergy Reactors Using a High D-O-F Variable Separation Protocol along with the Boubaker Polynomials Expansion Scheme BPES | Zendy

O.M. Dada | Zendy; Bamidele O. Awojoyogbe | Zendy; K. Boubaker | Zendy; Moses Agida | Zendy

Open Access

Physical Investigation of on Nuclear Dynamics Equations in Nanoenergy Reactors Using a High D-O-F Variable Separation Protocol along with the Boubaker Polynomials Expansion Scheme BPES

Author(s) -

O.M. Dada,

Bamidele O. Awojoyogbe,

K. Boubaker,

Moses Agida

Publication year - 2012

Publication title -

isrn high energy physics

Language(s) - English

Resource type - Journals

eISSN - 2090-7427

pISSN - 2090-7419

DOI - 10.5402/2012/725318

Subject(s) - simple (philosophy) , variable (mathematics) , polynomial , mathematics , scheme (mathematics) , boltzmann equation , generality , polynomial expansion , boundary (topology) , boundary value problem , nuclear reactor , statistical physics , mathematical analysis , physics , nuclear physics , thermodynamics , psychology , philosophy , epistemology , psychotherapist

We present general analytical solutions to the nuclear dynamics-related Neutron Boltzmann Transport Equation inside nanoenergy reactors. Finding a particular solution to the neutron equation by making use of boundary conditions and initial conditions may be too much for the present study and reduce the generality of the solutions. Some simple assumptions have been introduced in the main system thanks to the Boubaker Polynomial Expansion Scheme, BPES, in order to make the general analytical procedure simple and adaptable for solving similar real-life problems.

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