Computational Biology, Part 16 Biochemical Kinetics II. Robert F. Murphy Copyright 1996, 1999-2009. All rights reserved. General form of ordinary differential equations.
Robert F. Murphy
Copyright 1996, 1999-2009.
All rights reserved.
Note how the approximation always underestimates y since dy/dx is increasing
Note that the approximation and the analytical solution are identical in this case.
Note that the midpoint method is better than Euler’s method but it does not give results identical to the analytical solution since dy/dx now depends on y.