FD schemes for numerical study of nonlinear coupled RD system - Couverture souple

Hasnain, Shahid

 
9786202007924: FD schemes for numerical study of nonlinear coupled RD system
Couverture souple
ISBN 10 : 6202007923 ISBN 13 : 9786202007924
Editeur : LAP LAMBERT Academic Publishing, 2018

Synopsis

Some of the more widely used finite difference techniques for solving partial differential equations, are described in detailed, in this book. In particular to reaction diffusion system,in which one and two dimension coupling have been considered. Simple one and two dimensional F-KPP equations are also considered as special cases of the above mentioned system. Both explicit and implicit finite difference techniques are considered and compared on the basis of the computer capability and computational economy. Topics such as consistency of the finite difference equation with corresponding linear or non-linear partial differential equations, stability of the finite difference equations, and convergence of the solution of the finite difference equation to that of partial differential equations, are considered in detail. The accuracy of the different finite difference (FD) schemes, which depends on the discretisation error involved, is considered both theoretically and by means of illustrative numerical examples. The use of variable grid spacing is also considered, so that a finer grid can be used to give more detailed results in regions of interest.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Some of the more widely used finite difference techniques for solving partial differential equations, are described in detailed, in this book. In particular to reaction diffusion system,in which one and two dimension coupling have been considered. Simple one and two dimensional F-KPP equations are also considered as special cases of the above mentioned system. Both explicit and implicit finite difference techniques are considered and compared on the basis of the computer capability and computational economy. Topics such as consistency of the finite difference equation with corresponding linear or non-linear partial differential equations, stability of the finite difference equations, and convergence of the solution of the finite difference equation to that of partial differential equations, are considered in detail. The accuracy of the different finite difference (FD) schemes, which depends on the discretisation error involved, is considered both theoretically and by means of illustrative numerical examples. The use of variable grid spacing is also considered, so that a finer grid can be used to give more detailed results in regions of interest.

Biographie de l'auteur

Shahid Hasnain received his B.Sc. degree from Punjab University, Pakistan, Master’s degree in Mathematics from Quaid-e-Azam University, Pakistan, in 2007, and M.S. degree in Applied Mathematics from Linkoping University, Sweden, in 2011. Currently, I complete my PhD degree in Numerical Analysis, from King Abdulaziz University, Jeddah, Saudi Arabia.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2018
Langue
anglais
ISBN 10 
6202007923
ISBN 13 
9786202007924
Reliure
Broché
Nombre de pages
68
Coordonnées du fabricant
non disponible
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