Numerical Solution of Ordinary and Partial Differential Equations 6CDG383FS8

URI	`m2://res/6CDG383FS8`
Kind	course
Creators	Rama Bhargava (instructor), Sunita Gakkhar (instructor)
Scope	in
Ids	course 00582g326:111107063

Expressions

e1: edition

Language	en

m1: page, IIT Roorkee (record). nptel 111107063

Contents

part 1: Numerical Solution of Ordinary Differential Equations
session 1: Numerical solution of first order ordinary differential equations
session 2: Numerical Methods: Euler method
session 3: Modified Euler Method
session 4: Runge Kutta Method
session 5: Fourth Order Runge Kutta Methods
session 6: Higher order Runge Kutta Methods
part 2: Multi-step methods
session 7: Multi Step Methods Predictor corrector Methods
session 8: Multi Step Methods Predictor corrector Methods Contd…
session 9: Multi Step Methods Adams Bashforth method
session 10: Multi Step Methods Adams Moulton method
part 3: Systems of equations and higher order equations
session 11: Systems of Differential Equations
session 12: Higher Order Equations
session 13: Stiff Differential equations
part 4: Linear Boundary value problems
session 14: Finite Difference Methods: Dirichlet type boundary condition
session 15: Finite Difference Methods: Mixed boundary condition
session 16: Shooting Method
session 17: Shooting Method contd…
part 5: Non-linear Boundary value problems
session 18: Solution by Finite Difference Methods
session 19: Shooting Methods
session 20: Shooting Methods Contd…
part 6: Numerical Solution of Partial Differential Equations
session 21: Introduction of PDE, Classification and Various type of conditions
session 22: Finite Difference representation of various Derivatives
part 7: Explicit Method for Solving Parabolic PDE
session 23: Parabolic Partial Differential Equations : One dimensional equation : Explicit method.
session 24: Crank Nicolson method and Fully Implicit method
session 25: Three Time Level Schemes
session 26: Extension to 2d Parabolic Partial Differential Equations
part 8: Compatibility of one-dimensional Parabolic PDE
session 27: Compatibility and Stability of 1d Parabolic PDE
session 28: Stability of one-dimensional Parabolic PDE
session 29: Convergence of one?dimensional Parabolic PDE
part 9: Elliptic Partial Differential Equations
session 30: Elliptic Partial Differential Equations : Solution in Cartesian coordinate system
session 31: Successive Over Relaxation Method
session 32: Elliptic Partial Differential Equation in Polar System
session 33: Alternating Direction Implicit Method
session 34: Treatment of Irregular Boundaries
session 35: Methods for Solving tridiagonal System
part 10: Hyperbolic Partial Differential Equations
session 36: Explicit Method for Solving Hyperbolic PDE
session 37: Implicit Method to Hyperbolic PDE
session 38: Convergence & Stability
session 39: Method of Characteristics
session 40: Examples and conclusions

Catalogue records

nptel: 111107063 (manifestation)