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numerical methods solving systems nonlinear equations Remani [pdf]

# Numerical Methods for Solving Systems of Nonlinear Equations by Courtney Remani

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Numerical Methods for Solving Systems of Nonlinear Equations written by Courtney Remani.
This text examine three different numerical methods that are used to solve systems of nonlinear equations in several variables. The first method we will look at is Newton’s method. This will be followed by Broyden’s method, which is sometimes called a Quasi-Newton method; it is derived from Newton’s method. Lastly, we will study the Finite Difference method that is used to solve boundary value problems of nonlinear ordinary differential equations. For each method, a breakdown of each numerical procedure will be provided. In addition, there will be some discussion of the convergence of the numerical methods, as well as the advantages and disadvantages of each method. After a discussion of each of the three methods, this text use the computer program Matlab to solve an example of a nonlinear ordinary differential equation using both the Finite Diffference method and Newton’s method.

Book Detail :-
Title: Numerical Methods for Solving Systems of Nonlinear Equations
Edition:
Author(s): Courtney Remani
Publisher:
Series:
Year:
Pages: 38
Type: PDF
Language: English
ISBN:
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The author Courtney RemaniDepartment of Mathematical Sciences, Lakehead University, Thunder Bay, Ontario, Canada.

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Book Contents :-
Numerical Methods for Solving Systems of Nonlinear Equations written by Courtney Remani cover the following topics. '
Acknowledgements
Introduction
Preliminaries
Newton’s Method
Broyden’s Method
Finite-Difference Method
Matlab Application
Conclusion
Appendix
Bibliography

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