Solving Partial Differential Equations
Numerical Solutions of Differential Equations
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Introduction
1
Internal Workings of MATLAB
Linear Algebra
2
Solving Linear Systems of Equations
Solving Initial Value Problems
3
The Euler Method
4
The Modified Euler Method
5
Fourth Order Runge-Kutta Method
6
MATLAB’s In-Built Procedures
7
Implicit IVP Solvers
Solving Boundary Value Problems
8
Boundary Value Problems
9
Mixed Value Problems
10
Symmetric Boundary Conditions
Solving Partial Differential Equations
11
Heat Equation
Appendices
A
MATLAB Basics
B
Arrays in MATLAB
C
Loops
D
Plotting in MATLAB
E
Reading & Writing Data
F
Gaussian Elimination Method
G
Matrix Decompositions
H
Data Fitting
I
Eigenvalue Problems
J
Numerical Solutions of Non-Linear Equations
Solving Partial Differential Equations
This section will cover how solutions to IVPs and BVPs can be combined to solve PDEs.
10
Symmetric Boundary Conditions
11
Heat Equation