Nonlinear Equations-Computational Physics-Lecture Slides, Slides of Computational Physics

This lecture is for Computational Physics course. It was delivered by Dr. Hanif Durad at Pakistan Institute of Engineering and Applied Sciences, Islamabad (PIEAS). It includes: Nonlinear, Equations, Dimension, Bracketing, Graphical, Open, Methods, Iterative, Bisection, False, Position

Typology: Slides

2011/2012

Uploaded on 07/19/2012

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Dr. Hanif Durad 2
Lecture Outline
๎˜‚Nonlinear Equations
๎˜‚Numerical methods in one Dimension
๎˜‚Methods Systems of Nonlinear Equations
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Download Nonlinear Equations-Computational Physics-Lecture Slides and more Slides Computational Physics in PDF only on Docsity!

Dr. Hanif Durad

Lecture Outline

Nonlinear Equations

Numerical methods in one Dimension

Methods Systems of Nonlinear Equations

Nonlinear Equations

Dr. Hanif Durad

Examples: Nonlinear Equations

Dr. Hanif Durad

Dr. Hanif Durad

Nonlinear Equation

Solvers

Bracketing Graphical Open Methods

Bisection
(Regula-FalsiFalse Position
Newton Raphson
Secant

All Iterative D:\NC\ENGR 3723 \Chap_05.ppt

Bracketing Methods

Dr. Hanif Durad D:\NC\ENGR 3723 \Chap_05.ppt

Examples: One Dimension

Dr. Hanif Durad

Dr. Hanif Durad while!!) Two roots ( Might work for a Need special methodDiscontinuous function. D:\NC\ENGR 3723 \Chap_05.ppt

Dr. Hanif Durad Figure 5.4c Figure 5.4b What do we do?MANY-MANY roots. f(x)=sin 10x+cos 3x Figure 5.4a D:\NC\ENGR 3723 \Chap_05.ppt

Multiplicity

Dr. Hanif Durad

(1/3)Sensitivity and Conditioning

Dr. Hanif Durad

(3/3)Sensitivity and Conditioning

Dr. Hanif Durad

Convergence Rate (1/2)

Dr. Hanif Durad

Interval Bisection Method (1/3)

Dr. Hanif Durad

Interval Bisection Method (2/3)

Dr. Hanif Durad