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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.

1- Easy introduction to the Inverse of a Matrix-2×2 matrix.

September 22, 2025October 15, 2020 by Maged kamel
Easy introduction to Inverse of a Matrix-2x2 matrix.

How to get the inverse of a matrix by creating an identity matrix. A solved example is given for the inverse of a 2×2 matrix.

Categories Solution of linear systems Tags Find the inverse of a 2x2 matrix

9-Maximum deflection distance by Newton-Raphson method.

July 23, 2024September 30, 2020 by Maged kamel
brief illustration for -Post 9-maximium deflection distance

Maximum deflection distance for a simply supported beam under triangular load numerically. How to use the Newton-Raphson method for root findings?

Categories Solving non linear equations Tags Maximum deflection distance by Newton-Raphson method.

8- Structural analysis numerically by Newton-Raphson method.

March 21, 2024September 20, 2020 by Maged kamel
brief illustration for -Post 8-structural analysis byNewton-Raphson method

Perform structural analysis using the Newton-Raphson method for a beam under uniformly distributed load and get the maximum deflection point location.

Categories Solving non linear equations Tags How to use the Newton-Raphson method for structural analysis?

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

January 11, 2024September 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 Solved problem-8 by Modified Newton-Raphson.

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

March 21, 2024September 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.

June 15, 2025September 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

March 21, 2024September 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

December 19, 2024August 14, 2020 by Maged kamel

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 Linear Approximation method?
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