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عمر نصار

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الطرائق العددية | ريض 254

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اشتراكاتي

ملف القوانين
ملف الأمثلة

Derivatives

Introduction to nonlinear equations
Bisection method
Bisection method | Example 1
Bisection method | Example 2
Bisection method | Example 3 & 4
Fixed Point method | Example 1
Fixed Point method | Example 2 part (1)
Fixed Point method | Example 2 part (2)
Fixed Point method | Example 3
Fixed Point method | Example 4
Newton's method | Example 1
Newton's method | Example 2
Newton's method | Example 3
Newton's method | Example 4
Secant method
Multiplicity of a Root
Multiplicity of a Root | Example
First Modified Newton's method
Second Modified Newton's method
Multiplicity and First Modified
Convergence
Rate Of Convergence
Convergence with Unknowns
Unknown Equation with Unknown multiplicity
Unknown Equation with known multiplicity
Systems of nonlinear equations
Systems of nonlinear equations with unknowns
خلاصة Chapter 2

Gauss Elimination
Gauss Elimination Example 2
Gauss Elimination with Singular matrix
Inverse by Gauss Elimination
Gauss Elimination with Partial Pivoting
Inverse with Partial Pivoting
Doolittle’s method
Doolittle’s method with Singular matrix
Solving system with Doolittle’s method
Doolittle’s method With Unknowns
Inverse using Doolittle’s method
Crout’s method
Crout’s method With Unknowns and Singular matrix
Inverse using Crout’s method
Norm
Jacobi Iterative method
Gauss-Seidel Iterative method
Jacobi and Gauss-Seidel (Matrix form)
Guarantee the Convergence - SRDD
Gauss - Seidel Converge faster than Jacobi
Iterative methods: Convergence, Approximation, Error bound and Number of iterations
The Condition Number K
Relative Error
Conditioning Discussion
خلاصة Chapter 3

Lagrange Interpolating
Lagrange with more points than needed
Lagrange with unknowns
Lagrange with specific formula
Lagrange with integrals
Lagrange with partial fractions
Lagrange Unknown Point eta
Lagrange error bound
Lagrange with four degree
Lagrange with error bound and absolute error
Lagrange Equally Spaced - The General Error Formula
Lagrange Equally Spaced - Linear, Quadratic and Cubic
Newton’s Interpolating
Newton and Lagrange forms
Finding the third divided difference
Using Quadratic Newton to find the Cubic
Divided Difference Table with missing values
Properties of Divided Difference
Divided Difference with unknowns
Interpolation with Spline Functions
Linear Spline with Unknown Coefficients
خلاصة Chapter 4

Introduction
Two - point forward & backward difference formulas
Forward formula with step size h calculation
Three - point central difference formula
Three - point with unknown formula
Using the best three point formula
Best and Worst approximations
Three point with unknown point
Second derivative using three point formula
Trapezoidal Rule
Trapezoidal with unknown alpha
Local error and global error of Trapezoidal
Trapezoidal with subintervals
Simple Simpson
Simpson with unknown alpha
Composite Simpson
Simpson with subintervals
خلاصة Chapter 5

Euler method - Example 1
Euler method - Example 2
Euler method - Example 3
Taylor method - Example 1
Taylor method - Example 2
Modified Euler’s method - Example 1
Modified Euler’s method - Example 2
Modified Euler’s method - Example 3
خلاصة Chapter 6

Quiz 1 - 1
Quiz 1 - 2
Quiz 1 - 3
Quiz 1 - 4 Girls

Midterm 1442 - 43 First Semester
Midterm 2021 Second Semester - Girls
Midterm 1443

Quiz 2 - 1

Final 1442 - 43 Full Questions only
Final 1442 - 43 MCQs Only
Final MCQs

Bisection method | Example 2

Bisection method | Example 2

Bisection method | Example 2