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شرح تشغيل وتفعيل الكورس
برنامج التشغيل
Chapter 1 : Bessel Functions
(00) Introduction
(01) Special Values
(02) Properties and Relations
(03) Recurrence Relations
(04) Recurrence Examples
(05) Recurrence types Example 0
(06) Recurrence types Example 1
(07) Recurrence types Example 2
Chapter 2 : Recurrence Relation
(00) Recurrence relation Examples 0
(01) Recurrence relation Examples 1
(02) Integration Relation Examples 0
(03) Integration relation Examples 1
(04) Integration relation Examples 2
(05) Integration relation Examples 3
(06) Integration relation Examples 4
(07) Bessel Generation Function
(08) Bessel Generating Function ex1
(09) Bessel Generating Function ex2
(10) Bessel Generating Function ex3
(11) Bessel Gamma and Beta
Chapter 3 : Legendre
(00) Legendre polynomials
(01) Orthogonality of Legendre
(02) Series of Legendre polynomial
(03) Legendre Recurrence Relations new
Chapter 4 : PDE
(00) Classification of 2nd order P D E
(01) Methods of solution P D E
(02) One Dimensional wave equation
(03) Example on One Dimensional Wave Equation
(04) One Dimensional Heat Equation
(05) Example on One Dimensional Heat Equation
(06) Two-dimension Laplace Equation new
(07) Two-dimension Laplace Equation new
(08) La place in Polar
(09) Successive integration
Chapter 5 : Numerical Solution of Algebraic Equation
(00) Numerical Solution of Algebraic Equation
(01) Jacobi Method
(02) Examples on Jacobi & Gauss seidel
(03) Single equation Simple iteration method
(04) Example on Simple iteration method
(05) Using calculator
(06) Example on Simple iteration method
(07) Newton-Raphson Method
(08) Bisection Method new
Chapter 6 : Curve Fitting
Curve Fitting
Chapter 7 : Interpolation
(00) Interpolation
(01) Equal Intervals Data (Newton Forward Method)
(02) Equal Intervals Data (Newton BackwordMethod)
(03) Central Methods (Gauss Forward & Backword)
(04) Example on Equal Intervals Data
(05) Non-equal Intervals Data (Lagrange Newton)Method
(06) Sterling _ Bessel Methods new
Chapter 8 : Numerical Integration
(00) Numerical Integration
(01) Example on Trapezoidal rule
(02) Example on Numerical Integration
(03) Double Integrals
Chapter 9 : Numerical Solution of O D E
(00) Numerical Solution of O D E Taylor method
(01) Example on Taylor Method
(02) Example on 2nd order O D E
(03) Euler Method
(04) Example on Euler Method
(05) Runge-Kutta Method
(06) 2nd Order Kutta
Chapter 10 : Numerical Solution of P D E
(00) Numerical solution of P D E
(01) Example on Laplace Equation
(02) Example on Poisson Equation
(03) Example on 1 D heat Equation
(04) Example on 1 D heat Equation
(05) Example on 1 D wave Equation
0 Introduction
