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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.

5A-Practice problems with linear approximation

December 19, 2024August 14, 2020 by Maged kamel
brief illustration for-Post 5a-Linear approximation method

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?

5- What is the Linear Approximation method?

March 21, 2024August 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?

March 21, 2024July 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.

March 21, 2024June 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 False position method.

2- Easy introduction to Bisection method for roots findings.

March 4, 2025August 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

March 3, 2025July 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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Categories

CB value-bracing at the midpoint of a beam-uniform load (1) CB value-bracing at third points of a beam-uniform load (1) Compact and non compact sections. (1) Crout's LU decomposition for a 3x3 matrix (2) Deflection of steel beams (3) Discontinuity functions table for loads (2) Effective area for staggered bolted angle (1) Effective length factor for an inelastic column. (1) How to design a steel beam? (1) Inertia Ix for Parallelogram. (2) Introduction to Numerical analysis part 2 (1) introduction to Tension members (2) list of steel beams posts-part -4a (1) List of tension members posts-part 3 (1) LU-partial pivoting (2) Mohr's circle of inertia part 2 (2) Moment of inertia Ix for the Trapezium-second option (1) Permutation matrix. (2) Product of inertia Ixy for the parallelogram (1) Review of AISC table 2-5 for plates. (1) Simple interest and compound interest (2) Solved problem-7-4-1 (1) Solved problem-8 by Modified Newton-Raphson. (1) Solved problem 5-2 for the plastic moment value for W10x60. (1) Solved problem 7-2 for frames 1-3 (1) Solved problem 8-32, finding the plastic nominal load (2) Solved problems for the net area. (2) steel beam posts part -2a (1) Two Practice problems for inertia for trapezium. (1) Uniform series of compound interest. (2) Video for Ix and Iy for an isosceles (1) Video for Ix for a right-angle case -2-Use Hl strip. (1) Video for Mohr's circle of inertia case-2. (1) x bar for a right angle triangle (2) y bar for a right angle triangle by integration. (2)

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