BACKGROUND

What are ordinary differential equations? [PDF] [DOC]

A Primer on Ordinary Differential Equations [PDF] [DOC]

Exact Solution of 1st order ODE [YOUTUBE 6:48]

Exact Solution of 1st order ODE: Another Example [YOUTUBE 7:37]

Exact Solution of 2nd order ODE: Distinct Roots of Characteristic Equation [YOUTUBE  8:50] 

Exact Solution of 2nd order ODE: Repeated Roots of Characteristic Equation [YOUTUBE  8:41] 

Exact Solution of 2nd order ODE: Complex Roots of Characteristic Equation [YOUTUBE  9:34]

Test your knowledge of background of ordinary differential equation [HTML] [PDF] [DOC]

PHYSICAL PROBLEM

How much time will it take the ball to cool down? [PDF] [DOC]

NUMERICAL METHOD

EULER'S METHOD

How does Euler's method work? [PDF] [DOC]

Euler's Method of Solving ODEs: Derivation  [YOUTUBE 9:53]

Euler's Method of Solving ODEs: Example [YOUTUBE 10:57] 

Euler's Method of Estimating Integrals: Theory [YOUTUBE  7:11] 

Euler's Method of Estimating Integrals: Example [YOUTUBE  8:58]

A Power point presentation on Euler's method [PDF] [PPT]

Worksheet of Euler's method [MFILE]

Convergence worksheet of Euler's method [MFILE]

Test your knowledge of Euler's method [HTML] [PDF] [DOC]

RUNGE-KUTTA 2nd ORDER METHOD

How does Runge-Kutta 2nd order method work? [PDF] [DOC]

Runge-Kutta 2nd Order Method: Background [YOUTUBE 9:46]

Runge-Kutta 2nd Order Method: Formulas [YOUTUBE  10:57] 

Runge-Kutta 2nd Order Method: Heun's Method  [YOUTUBE  9:27]

Runge-Kutta 2nd Order Method: Midpoint Method  [YOUTUBE  10:45]

Runge-Kutta 2nd Order Method: Ralston's Method Part 1 of 2 [ YOUTUBE 7:09]

Runge-Kutta 2nd Order Method: Ralston's Method Part 2 of 2 [ YOUTUBE 5:00]

Runge-Kutta 2nd Order Method: Derivation Part 1 of 2 [ YOUTUBE 7:08]|

Runge-Kutta 2nd Order Method: Derivation Part 2 of 2 [ YOUTUBE 5:31]

A Power point presentation on Runge-Kutta 2nd order method [PDF] [PPT]

Worksheet of Runge-Kutta 2nd order method [MFILE]

Convergence worksheet of Runge-Kutta 2nd order method [MFILE]

Test your knowledge of Runge-Kutta 2nd order method [HTML] [PDF] [DOC]

RUNGE-KUTTA 4th ORDER METHOD

How does Runge-Kutta 4th order method work? [PDF] [DOC]

Runge Kutta 4th Order Method: Formulas [YOUTUBE 9:54]

Runge Kutta 4th Order Method: Example: Part 1 of 2 [YOUTUBE 9:29]

Runge Kutta 4th Order Method: Example: Part 2 of 2 [YOUTUBE 8:48]

A Power point presentation on Runge-Kutta 4th order method [PDF] [PPT]

Worksheet of Runge-Kutta 4th order method [MFILE]

Convergence worksheet of Runge-Kutta 4th order method [MFILE]

Test your knowledge of Runge-Kutta 4th order method [HTML] [PDF] [DOC]

SHOOTING METHOD

How does Shooting Method work? [PDF] [DOC]

Power point presentation on Shooting Method [PDF] [PPT]

Worksheet of Shooting Method [MFILE]

Test your knowledge of Shooting Method [HTML] [PDF] [DOC]

FINITE DIFFERENCE METHOD

How does Finite Difference Method work? [PDF] [DOC]

Finite Difference Method of Solving Ordinary Differential Equations: Background Part 1 of 2 [YOUTUBE 3:46]

Finite Difference Method of Solving Ordinary Differential Equations: Background Part 2 of 2 [YOUTUBE 8:40]

Finite Difference Method: Example Beam: Part 1 of 2  [YOUTUBE 6:13]

Finite Difference Method: Example Beam: Part 2 of 2  [YOUTUBE 6:21]

Finite Difference Method: Example Pressure Vessel: Part 1 of 2  [YOUTUBE 9:55]

Finite Difference Method: Example Pressure Vessel: Part 2 of 2  [YOUTUBE 9:50]

A Power point presentation on Finite Difference Method [PDF] [PPT]

Worksheet of Finite Difference Method [MFILE]

Test your knowledge of Finite Difference Method [HTML] [PDF] [DOC]

ANECDOTES

On solving higher order and coupled ordinary differential equations [PDF] [DOC] [MFILE]

Euler [HTML] [PDF] [DOC]

Runge [HTML] [PDF] [DOC]

Kutta [HTML] [PDF] [DOC]

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