Login

 


Plenary Lecture

Iterative Method for Solving a Nonstationary Transport Equation in Absorbing Media

Professor Olga Martin
Applied Sciences Faculty
University “Politehnica” of Bucharest
ROMANIA
E-mail: omartin_ro@yahoo.ro

Abstract: The integral-differential equations describe many physical phenomena in different fields of the science and nuclear engineering. The resolution of these equations is the subject of several papers in which the authors have approached in most cases numerical methods: the finite element method, Monte Carlo, truncated series of Chebyshev polynomials, the fictitious domain method, SN method.
In this paper we present an algorithm based on the Finite Differences Method and the techniques of the Homotopy Perturbation Method (HPM) to solve a homogeneous boundary value for a time dependent transport equation. The homotopy perturbation method is a coupling of traditional perturbation method and the homotopy function in topology, which deforms continuously the given problem to another that can be easily solved.

The new method leads to a rapid convergence of the series solution to the exact solution. Usually, if the time step is chosen correctly, a small number of iterations are needed to achieve high accuracy results. A numerical example proves the validity and the great potential of this new method for particle transport problems.

Brief Biography of the Speaker: Olga Martin graduated the Faculty of Mathematics and Mechanics, University of Bucharest, Romania. She received his PhD in mathematics with the specialization in Dynamic Plasticity with paper work ‘Applications of the Finite Element Method in Dynamic Plasticity’. During of twenty years, she had been senior researcher in Aircraft Institute, Strength Materials Department. Technical experience: structural strength computing reports using ANSYS program (wing-fuselage, fuselage frame, fin, elevator, rudder and aileron), dynamic and static test-programs for aircraft structures, fatigue test-programs for aircraft structures, iterative methods for the study of the reactions, which correspond to movable control surfaces, attached at n – points to an elastic structure and program of this, static and fatigue computation of the propeller (mono-bloc hub, blades and blades retention system).
Nowadays, she is Professor at Applied Sciences Faculty, University “Politehnica” of Bucharest.
Fields of specialization: Mathematical Analysis, Mathematical Physics, Computational and Experimental Solid Mechanics, Plasticity Dynamics, Structural Strength Calculation, Numerical Analysis, Statistical Calculus. She has published over 90 research papers and 18 books.
Member of the editorial boards: Politehnica Sci. Bull. Series A, WSEAS Transactions on Applied and Theoretical Mechanics and she was involved in the program/organizing committees for many international conferences.
Membership of Professional Societies: Society of Computer Aided Engineering – Member National Union of Romanian Scientists (Founding member), Balkan Society of Geometers member, Romanian Society of Mathematicians.
Reviewer: WSEAS Press (books and journals), Scientific Bulletin, University “Politehnica” of Bucharest, Acta Mathematica universitatis Comenianae, Journal of Quantitative Spectroscopy and Radiative Transfer.
Scientific Evaluation Societies: RELANSIN, University “Politehnica” of Bucharest, ARACIS, Bucharest, Bucharest, National Science Fund of Bulgaria, Executive Unit for Research Development and Innovation of Romania

Bulletin Board

Currently:

The Conference Program is online.

The Conference Guide is online.

The paper submission deadline has expired. Please choose a future conference to submit your paper.


WSEAS Main Site


NAUN Main Site

Publication Ethics and Malpractice Statement