Numerical Solutions of Algebraic, Differential and Integral Equations

ISBN-13: 9783659640353 / Angielski / Miękka / 2014 / 244 str.

Abushammala Mariam

Opis

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 Hes Variational Iteration Method are rigorously presented for solving a wide spectrum of equations. Finally, introduce a novel method based on manipulating Greens functions and some popular fixed point iterations schemes, such as Picards and Manns, for the numerical solution of boundary value problems.

O autorze

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.