Home
Add
Get on Google Play
Home
> Edit
Add/Update Thesis
Title*
Author's Name*
Supervisor's Name
Abstract
In this thesis, two new methods for solution of nonlinear system of equations f(x) = 0 using two decomposition techniques are established, first is Adomian decomposition technique and second is Varsha decomposition technique. We expand f(x) to second order then apply both of these techniques one by one. The convergence order of both these algorithms is three and efficiency index is p 1/d =1.442. The main benefit of this scheme is that we get root of function even after one or two iterations, obviously has minimum computational complexity as compare to previous systems. Both methods almost give the same results and convergence orders. In practice, for large scale problems, many iterative methods can be derived by using two decomposition techniques with some modifications in Newton Raphson method. The order of convergence of new iteration formulas can be derived analytically and with the help of Maple. Some examples are given to illustrate the performance and precision of new algorithms. These algorithms can be assumed as generalization of old methods for solving nonlinear equations.
Subject/Specialization
Language
Program
Faculty/Department's Name
Institute Name
Univeristy Type
Public
Private
Campus (if any)
Institute Affiliation Inforamtion (if any)
City where institute is located
Province
Country
Degree Starting Year
Degree Completion Year
Year of Viva Voce Exam
Thesis Completion Year
Thesis Status
Completed
Incomplete
Number of Pages
Urdu Keywords
English Keywords
Link
Select Category
Religious Studies
Social Sciences & Humanities
Science
Technology
Any other inforamtion you want to share such as Table of Contents, Conclusion.
Your email address*