Numerical analysis - "Engineering Oasis"

4-Derive the expression for L-U values for-3×3 matrix.

January 25, 2026January 1, 2021 by Maged kamel

Brief illustration of Post 4- numerical linear.

Step-by-step guide on how to derive the expression for L-U values for-3×3 matrix using Doolittle’s method?

3-How to solve for x-y by L-U Decomposition?

January 25, 2026December 20, 2020 by Maged kamel

How to solve for x-y by L-U Decomposition? Illustration by Gauss elimination for L and U matrices.

2- Easy illustration for LU decomposition for 2×2 matrix

December 25, 2025December 14, 2020 by Maged kamel

How to use the Lu decomposition method for a 2×2 matrix? A step-by-step guide to find L and U values?

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

December 14, 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.

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?

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.

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.

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.