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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.

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

2- Easy introduction to Bisection method for roots findings.

January 17, 2026August 20, 2019 by Maged kamel
Brief illustration for -Post 2-bisection method

The bisection method can be done by taking the average value of the horizontal distance between points of brackets, and then substitute it in the function.

Categories Solving non linear equations Tags Bisection method, Bracketing method

1a-What is synthetic division? Numerical Analysis-part 2

January 17, 2026July 5, 2019 by Maged kamel
brief introduction for Post 1A-Numerical analysis -part 2

Numerical analysis-part 2-What is synthetic division? Solved problems for synthetic divisions are included.

Categories Solving non linear equations Tags Introduction to Numerical Analysis Part 2
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