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Numerical analysis

The numerical analysis falls into several subdivisions,  as follows
1-Introduction to numerical analysis.

2-Solving non-linear equations.

3-Solving Linear equations.

4-Interpolation.

7A-Solved problem-8 by Modified Newton-Raphson method

January 19, 2026September 19, 2020 by Maged kamel
Brief illustration for -Post 7A-modified Newton-Raphson method

A solved problem-8 by modified newton Raphson Method. A step-by-step guide comparison is made between the newton method and the modified Newton Raphson method.

Categories Solving non linear equations Tags Practice problem-8 by Modified Newton-Raphson.

7- An Easy Guide to Modified Newton-Raphson method.

January 19, 2026September 10, 2020 by Maged kamel
Brief illustration -Post 7-modified Newton-Raphson method

The Modified Newton-Raphson method is another method for root finding. A simple modification to the previous method of Newton -Raphson was introduced.

Categories Solving non linear equations Tags Modified Newton-Raphson method.

6a- Two Solved problems for Newton-Raphson method.

January 15, 2026September 8, 2020 by Maged kamel
Brief illustration for-Post 6A-Newton-Raphson method

Two solved problems for Newton-Raphson method for root extraction or roots finding are presented in this post.

Categories Solving non linear equations Tags Solved problems for the Newton-Raphson method.

6- Newton-Raphson method-Easy approach

January 15, 2026September 7, 2020 by Maged kamel
Brief illustration for -Post 6-Newton-Raphson method

Newton-Raphson method. is another method for roots finding. The derivation of this method is based on the linear approximation method.

Categories Solving non linear equations Tags Newton-Raphson method.

5A-Practice problems with linear approximation

January 19, 2026August 14, 2020 by Maged kamel
Practice problems for linear approxiamtion

In this post, there are practice problems with linear approximation. these pr practice problems are using step-by-step illustration.

Categories Solving non linear equations Tags Practice problems for the Linear Approximation method

5- What is the Linear Approximation method?

January 19, 2026August 5, 2020 by Maged kamel
Brief illustration for -Post 5-Linear approximation method

Introduction to linear approximation, what is a linear approximation equation?

Categories Solving non linear equations Tags What is the Linear Approximation method?

4-Fixed-point iteration and how to use it?

January 23, 2026July 13, 2020 by Maged kamel
Brief illustration for -Post 4-Fixed point iteration method

In numerical analysis, fixed-point iteration is a method of computing the roots of a function by changing the typical f(x)=y form to another form which is x= g(x).

Categories Solving non linear equations Tags Fixed-point iteration.

3- Quick start to False position method for roots finding.

January 17, 2026June 15, 2020 by Maged kamel
Brief illustration for -Post 3-False position method

The false position method is another numerical method for roots finding, The same Solved problem will be used to get the root for f(x) by false position.

Categories Solving non linear equations Tags The False Position Method
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