Articles liés à Numerical Solutions of Algebraic, Differential and...

Numerical Solutions of Algebraic, Differential and Integral Equations: Iterative Schemes Approach - Couverture souple

Abushammala, Mariam

 
9783659640353: Numerical Solutions of Algebraic, Differential and Integral Equations: Iterative Schemes Approach
Couverture souple
ISBN 10 : 3659640352 ISBN 13 : 9783659640353
Editeur : LAP LAMBERT Academic Publishing, 2014

Synopsis

Designed for advanced undergraduate and graduate students in applied mathematics as well as researchers, this illuminating resource will introduce the reader to the fundamental aspects of three powerful iterative methods for handling equations with distinct structures. The book will serve nicely as a supplementary textbook for course study. The aim of this textbook is threefold: firstly, give a detailed review of the Adomian Decomposition Method for solving linear/nonlinear ordinary and partial differential equations, algebraic equations, delay differential equations, linear and nonlinear integral equations, and integro-differential equations. Secondly, the essential features of the He’s Variational Iteration Method are rigorously presented for solving a wide spectrum of equations. Finally, introduce a novel method based on manipulating Green’s functions and some popular fixed point iterations schemes, such as Picard's and Mann's, for the numerical solution of boundary value problems.

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

Présentation de l'éditeur

Designed for advanced undergraduate and graduate students in applied mathematics as well as researchers, this illuminating resource will introduce the reader to the fundamental aspects of three powerful iterative methods for handling equations with distinct structures. The book will serve nicely as a supplementary textbook for course study. The aim of this textbook is threefold: firstly, give a detailed review of the Adomian Decomposition Method for solving linear/nonlinear ordinary and partial differential equations, algebraic equations, delay differential equations, linear and nonlinear integral equations, and integro-differential equations. Secondly, the essential features of the He’s Variational Iteration Method are rigorously presented for solving a wide spectrum of equations. Finally, introduce a novel method based on manipulating Green’s functions and some popular fixed point iterations schemes, such as Picard's and Mann's, for the numerical solution of boundary value problems.

Biographie de l'auteur

Mariam Abushammala was born on May 4,1987, in Abu Dhabi,UAE. She was awarded the Bachelor of Science degree in Mathematics from the United Arab Emirates University on June 12, 2009. She was awarded the Master of Science degree in Mathematics from the American University of Sharjah,on June 7,2014, under the supervision of Professor Suheil Khoury.

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
2014
Langue
anglais
ISBN 10 
3659640352
ISBN 13 
9783659640353
Reliure
Broché
Nombre de pages
244
Coordonnées du fabricant
non disponible
Personne responsable
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