Learn · Computational hydraulics
Lecture 11 of 51Week 3
Lecture 11 : Partial Differential Equation : Numerical Stability of IBVP
Prof. Anirban Dhar · IIT Kharagpur
Credits and licence
- From
- Computational hydraulics, IIT Kharagpur (at NPTEL)
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- Tweens profiles and older. How courses are placed
All the lectures
- Lecture 1 : Introduction to Computational Hydraulics
- Lecture 2 : Problem Definition and Governing Equations (GE)
- Lecture 3 : Classification of Problems based on Initial Condition (IC) and/or Boundary Conditions (BC)
- Lecture 4 : Classification of Differential Equations
- Lecture 5 : Numerical Methods : Overview
- Lecture 6 : Finite Difference Approximation
- Lecture 7 : Ordinary Differential Equation : IVP
- Lecture 8 : Ordinary Differential Equation : BVP
- Lecture 9 : Partial Differential Equation : BVP
- Lecture 10 : Partial Differential Equation : IBVP
- Lecture 11 : Partial Differential Equation : Numerical Stability of IBVP
- Lecture 12 : Partial Differential Equation : Numerical Stability of One Dimensional PDE
- Lecture 13 : Finite Volume Method - Overview
- Lecture 14 : Finite Volume Method - BVP
- Lecture 15 : Finite Volume Method - IBVP
- Lecture 16 : Finite Volume Method - Conservation Law
- Lecture 17 : Upwind Approach
- Lecture 18 : Godunov Approach
- Lecture 19 :
- Lecture 20 :
- Lecture 21: Mesh-Tree Method : Polynomial Interpolation Method
- Lecture 22 : Mesh -Free Method : Moving Least Squares Method
- Lecture 23 : Mesh-Free Method : Space-Time Moving Least Squares Method
- Lecture 24 : Numerical Method : Matrix Structure and Scilab
- Lecture 25 : Algebraic Equation:Gauss Elimination Method
- Lecture 26 : Algebraic Equation : LU Decomposition Method
- Lecture 27 : Algebraic Equation : Tri Diagonal Matrix Method
- Lecture 28 : Algebraic Equation : Jacobis Method
- Lecture 29 : Algebraic Equation : Gauss - Seidel Method
- Lecture 30 : Algebraic Equation : Newton Raphson Method
- Lecture 31 : One-Dimensional Flow
- Lecture 32 : Steady Two-Dimensional Flow
- Lecture 33 : Unsteady Two-Dimensional Flow using Finite Difference Method
- Lecture 34 :
- Lecture 35 :
- Lecture 36 :
- Lecture 37 :
- Lecture 38 :
- Lecture 39 :
- Lecture 40 : Steady Channel Flow : Channel Network without reverse Flow
- Lecture 41 : Steady Channel Flow : Channel Network without reverse Flow (Contd.)
- lecture 42 : Steady Channel Flow : Channel Network with reverse Flow
- Lecture 43 : Steady Channel Flow : Channel Network with reverse Flow (Contd.)
- Lecture 44
- Lecture 45
- Lecture 46
- Lecture 47
- Lecture 48
- Lecture 49 : Unsteady Flow in Pipes
- Lecture 50 : Surface Water and Ground Water Interaction
- Lecture 51 : Course Summary