9-Maximum deflection distance by Newton-Raphson method.
Maximum deflection distance for a simply supported beam under triangular load numerically. How to use the Newton-Raphson method for root findings?
Solving non linear equations
Solving non-linear equations include the following methods:
1- bisecting method.
2-False position method.
3-Fixed point iteration.
8- Structural analysis numerically 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.
7A-Solved problem-8 by 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.
7- An Easy Guide to 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.
6a- Two Solved problems for Newton-Raphson method.
Two solved problems for Newton-Raphson method for root extraction or roots finding are presented in this post.
6- Newton-Raphson method-Easy approach
Newton-Raphson method. is another method for roots finding. The derivation of this method is based on the linear approximation method.
5A-Practice problems with linear approximation
In this post, there are practice problems with linear approximation. these pr practice problems are using step-by-step illustration.
5- What is the Linear Approximation method?
Introduction to linear approximation, what is a linear approximation equation?
4-Fixed-point iteration and how to use it?
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).
3- Quick start to False position method for roots finding.
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.
2- Easy introduction to Bisection method for roots findings.
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.
1a-What is synthetic division? Numerical Analysis-part 2
Numerical analysis-part 2-What is synthetic division? Solved problems for synthetic divisions are included.
1-Introduction To Numerical Analysis-part 1
Introduction to numerical analysis, the difference between numerical and analytical methods, roots findings. review of the synthetic division.