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Solving non linear equations

Solving non-linear equations include the following methods:

1- bisecting method.

2-False position method.

3-Fixed point iteration.

9-Maximum deflection distance by Newton-Raphson method.

January 23, 2026September 30, 2020 by Maged kamel
Find maximum deflection distance for a beam under a triangular load using Newton -Raphson and the modified Newton-Raphson.

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, Point of maximum deflection under a triangular load numerically

8- Structural analysis numerically by Newton-Raphson method.

January 23, 2026September 20, 2020 by Maged kamel
Brief illustration for -Post 8-structural analysis by Newton-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 A practice problem for a beam under a point Load, Modified Newton-Raphson method for structural analysis, Newton-Raphson method for structural analysis

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?
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