Section 3.8 Exponential Growth and Decay EX.3
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There is a more advanced companion book in the works, “Finite Difference Computing with Partial Differential Equations”, which treats finite difference meth- ods for PDEs using the same
114 Exercise 4.6: Simulate stochastic radioactive decay.. 115 Problem 4.7: Radioactive decay of two
For direct similarity with the formula for the Forward Euler scheme 1.7 we replacenbynC1in 1.9 and solve for the unknown valueunC1: unC1D 1 1Ca.tnC1tn/un; nD0; : : : ; Nt1 : 1.10
2.4 Various Types of Errors in a Differential Equation Model So far we have been concerned with one type of error, namely the discretization error committed by replacing the
3.1 Behavior of different schemes for the decay equation # Compare with exact solution plotted on a very fine mesh t_fine = np.linspace0, T, 10001 u_e = I*np.exp-a*t_fine
Installing just a module file The software package is in the case above a directory decaywith three files Terminal Terminal> ls decay README decay.py setup.py To install
