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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.

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

1-Introduction To Numerical Analysis-part 1

October 6, 2024July 1, 2019 by Maged kamel
Brief content of post-1-numerical posts.

Introduction to numerical analysis, the difference between numerical and analytical methods, roots findings. review of the synthetic division.

Categories Solving non linear equations Tags Introduction to Numerical analysis
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Categories

Case 2 for block Shear-Coped Beam Problem (1) Deflection of steel beams (3) Discontinuity functions table for loads (2) Find Zx and Mp for a given I shape. (1) Inertia Ix for Parallelogram. (2) introduction to Tension members (2) LU-partial pivoting (2) Mohr's circle of inertia part 2 (2) Part 1 of the Solved problem 5 for design shear strength (1) Part 2 of solved problem 5 for design shear strength (1) Permutation matrix. (2) Practice problem 5-2-2 find y bar (1) Practice problem 5-2-3 verify Zx for W18x50 (1) Simple interest and compound interest (2) Solved problem 5-2 for the plastic moment value for W10x60. (1) Solved problem 7-2 for K value for frame-1-3 (1) Solved problem 8-32, finding the plastic nominal load (2) Solved problems for the net area. (2) x bar for a right angle triangle (2) y bar for a right angle triangle by integration. (2)

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