Oct 17
- Skimmed the first 2 chapters of OpenGL Programming Guide
Two-Point Boundary Value Problems - Chp 18 NRTE
General Form of a differential equation, which has been put into N first order equations:
\( \frac{dy_{i}(x)}{dx} = g_{i}(x,y_0,y_1,...,y_{N-1})\) \( i = 0,1,...,N-1 \)
The two kinds of problems can be reduced to this equation are:
- eigenvalue problem for differential equations
- free boundary problems - where \(x_{initial}\) is defined and \(x_{final}\) is to be determined by satisfying N+1 boundary conditions.
