Transport equation. Methods of resolution: An efficient method to proof the convergence as well as an estimative of the spectral solution of the isotropic two-dimenssional discrete ordinates problem - Softcover

Abdelouahab, Kadem

Softcover

ISBN 10: 3848439980 ISBN 13: 9783848439980

Publisher: LAP LAMBERT Academic Publishing, 2012

Synopsis

There is much literature available regarding the subject of solving the two-dimensional steady-state transport equation that it would be impossible to mention all of them. Nevertheless, the literature concerning convergence and the estimative of the error is scarce. Therefore in this thesis we focus our attention in this direction. In the first part we study the spectral Chebyshev polynomial expansion combined with the Sumudu transform leading to solve, analytically , the neutron transport equation in isotropic one-dimensional media. Next we study the convergence as well as an estimative of error for the spectral solution of the isotropic two-dimenssional discrete ordinates problem where a special quadrature rule is used to discretize in the angular variables, approximating the scalar flux. Finally the spectral equation is derived in a three dimensional setting.

About this title

About the Author

Dr.Abdelouahab Kadem is a Professor of Applied Mathematics,PhD in Mathematics in the Department of Mathematics at University of Sétif. His research interest includes,Integral transforms,Special functions differential equations and Fractional Calculus. He has published several papers in an international journals.

Edition details

• Publisher: LAP LAMBERT Academic Publishing
• Publication date: 2012
• ISBN 10: 3848439980
• ISBN 13: 9783848439980
• Binding: Paperback
• Language: English
• Number of pages: 92