Source Code Archive

 

An Introduction to Numerical Analysis

with Applications to the Physical,

Natural and Social Sciences

 

 

Matlab m-Files: Initial Value Problems

 

 

euler.m

Euler's method

taylor2nd.m

second-order Taylor method

taylor4th.m

fourth-order Taylor method

mod_euler.m

modified Euler method

heun.m

Heun method

opt_rk2.m

optimal second-order Runge-Kutta method

rk4.m

classical fourth-order Runge-Kutta method

ab2.m

two-step Adams-Bashfroth method

ab4.m

four-step Adams-Bashforth method

adams_pc4.m

fourth-order Adams Predictor-Corrector method

rkf45.m

Fourth-order/Fifth-order Runge-Kutta-Fehlberg variable step-size method

rkv56.m

Fifth-order/Sixth-order Runge-Kutta-Verner variable step-size method

vs_pc4.m

variable step-size fourth-order Adams Predictor-Corrector method

ode_trap.m

trapezoidal method

back_euler.m

backward Euler method

bdf2.m

second-order backward differentiation formula