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1	Formulae for solutions to (possibly degenerate) diffusion equations exhibiting semi-classical and small time asymptotics Watling, K. D. January 1986 (has links) No description available. 510 Diffusion equation solutions
2	Nonclassical symmetry reductions and conservation laws for reaction-diffusion equations with application to population dynamics Louw, Kirsten 29 May 2015 (has links) A research report submitted to the Faculty of Science, in partial fulfilment of the requirements for the degree of Master of Science, University of the Witwatersrand, Johannesburg, 2015. / This dissertation analyses the reaction-di usion equations, in particular the modi ed Huxley model, arising in population dynamics. The focus is on determining the classical Lie point symmetries, and the construction of the conservation laws and group-invariant solutions for reaction-di usion equations. The invariance criterion for determination of classical Lie point symmetries results in a system of linear determining equations which can be solved analytically. Furthermore, the Lie point symmetries associated with the conservation laws are determined. Reductions by associated Lie point symmetries are carried out. Nonclassical symmetry techniques are also employed. Here the invariance criterion for symmetry determination results in a system of nonlinear determining equations which may be solved albeit di cult. Nonclassical symmetries results in exact solutions which may not be constructed by classical Lie point symmetries. The highlight in construction of exact solution using nonclassical symmetries is the introduction of the modi ed Hopf-Cole transformation. In this dissertation, the di usion term and the coe cient of the source term are given as quadratic functions of space variable in one case, and the coe cient as the generalised power law in the other. These equations admit a number of classical Lie point symmetries. The genuine nonclassical symmetries are admitted when the source term of the reaction-di usion equation is a cubic. Conservation laws (Mathematics) Reaction-diffusion equation.
3	Etude de la methode de synthese iterative par deflation dans la resolution de l'equation de diffusion appliquee aux calculus des reacteurs REIS FILHO, PAULO E.G. dos 09 October 2014 (has links) Made available in DSpace on 2014-10-09T12:30:27Z (GMT). No. of bitstreams: 0 / Made available in DSpace on 2014-10-09T14:06:09Z (GMT). No. of bitstreams: 1 01262.pdf: 10916566 bytes, checksum: 2385abcdb07cf5e475019706bd6fea6f (MD5) / Tese (Doutoramento) / IPEN/T / Universite Scientifique et Medicale de Grenoble, France fast reactors neutrons neutron diffusion equation
4	Etude de la methode de synthese iterative par deflation dans la resolution de l'equation de diffusion appliquee aux calculus des reacteurs REIS FILHO, PAULO E.G. dos 09 October 2014 (has links) Made available in DSpace on 2014-10-09T12:30:27Z (GMT). No. of bitstreams: 0 / Made available in DSpace on 2014-10-09T14:06:09Z (GMT). No. of bitstreams: 1 01262.pdf: 10916566 bytes, checksum: 2385abcdb07cf5e475019706bd6fea6f (MD5) / Tese (Doutoramento) / IPEN/T / Universite Scientifique et Medicale de Grenoble, France fast reactors neutrons neutron diffusion equation
5	Identification of Coefficients in Reaction-Diffusion Equations Yu, Weiming 31 March 2004 (has links) No description available. Mathematics Reaction diffusion equation mollification identification
6	Solution of diffusion equation in axisymmetrical coordinates Chen, Goudong January 1994 (has links) No description available. Engineering, Mechanical Solution Diffusion equation Axisymmetrical coordinates
7	A Finite Element Time Relaxation Method Valivarthi, Mohan Varma, Muthyala, Hema Chandra Babu January 2012 (has links) In our project we discuss a finite element time-relaxation method for high Reynolds number flows. The key idea consists of using local projections on polynomials defined on macro element of each pair of two elements sharing a face. We give the formulation for the scalar convection–diffusion equation and a numerical illustration. high Reynolds flow time relaxation local projections convection-diffusion equation
8	O Metodo da funcao de Green na solucao da equacao de difusao de neutrons para um reator cilindrico homogenio finito totalmente refletido SANNAZZARO, LUIZ R. 09 October 2014 (has links) Made available in DSpace on 2014-10-09T12:31:37Z (GMT). No. of bitstreams: 0 / Made available in DSpace on 2014-10-09T14:00:43Z (GMT). No. of bitstreams: 1 12885.pdf: 941021 bytes, checksum: 89af8f7af86b94c2e39f9dcd1cdcfa0b (MD5) / Dissertacao (Mestrado) / IEA/D / Escola Politecnica, Universidade de Sao Paulo - POLI/USP differential equations green function reactors strange particles neutron diffusion equation
9	Utilizacao do metodo nodal absorcao-producao em calculos de distribuicoes de fluxo de neutrons e de potencia em uma dimensao e um grupo de energia FERREIRA, CARLOS R. 09 October 2014 (has links) Made available in DSpace on 2014-10-09T12:31:43Z (GMT). No. of bitstreams: 0 / Made available in DSpace on 2014-10-09T14:00:31Z (GMT). No. of bitstreams: 1 02573.pdf: 3007952 bytes, checksum: c5ad0aa94fbfe8573f958b6952ebfe9e (MD5) / Dissertacao (Mestrado) / IPEN/D / Instituto de Pesquisas Energeticas e Nucleares - IPEN/CNEN-SP computer calculations coupling neutron flux neutrons neutron diffusion equation
10	Utilizacao do metodo nodal absorcao-producao em calculos de distribuicoes de fluxo de neutrons e de potencia em uma dimensao e um grupo de energia FERREIRA, CARLOS R. 09 October 2014 (has links) Made available in DSpace on 2014-10-09T12:31:43Z (GMT). No. of bitstreams: 0 / Made available in DSpace on 2014-10-09T14:00:31Z (GMT). No. of bitstreams: 1 02573.pdf: 3007952 bytes, checksum: c5ad0aa94fbfe8573f958b6952ebfe9e (MD5) / Dissertacao (Mestrado) / IPEN/D / Instituto de Pesquisas Energeticas e Nucleares - IPEN/CNEN-SP computer calculations coupling neutron flux neutrons neutron diffusion equation

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