Please use this identifier to cite or link to this item:
Title: Variational Iteration Technique and Numerical Methods for Solving Nonlinear Equations
Keywords: Natural Sciences
Numerical analysis
Issue Date: 2012
Publisher: COMSATS Institute of Information Technology Islamabad, Pakistan
Abstract: Various problems of pure and applied sciences such as physics, chemistry, biology, engineering, economics, management sciences, industrial research and optimization can be studied in the unified frame work nonlinear equation f ( x) = 0. In this thesis, we use the variational iteration technique and its various modifications to suggest and analyze several iterative methods for finding the approximate solution of the nonlinear equations. Using suitable finite difference schemes, a number of new iterative methods free from second derivative are considered and analyzed. Variational iteration technique is also used to find the multiple roots of nonlinear equations with known and unknown multiplicity. Several examples are given to illustrate the efficiency and implementation of these new methods. Comparison with other methods is given to show the performance of new methods.
Appears in Collections:PhD Thesis of All Public / Private Sector Universities / DAIs.

Files in This Item:
File Description SizeFormat 
1526S-0.pdfTable of Contents8.48 kBAdobe PDFView/Open
1526S.pdfComplete Thesis664.26 kBAdobe PDFView/Open

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.