1. Numerical Methods in Materials Sci. & Eng.
MBN 310
Numerical Methods in Materials Sci. & Eng.
Numerical Methods for Differential Equations
Dr. Ersin Emre Oren
Department of Biomedical Engineering
Department of Materials Science & Nanotechnology Engineering
TOBB University of Economics and Technology
Ankara - TURKEY
Bionanodesign Laboratory

2. Numerical Solution of Differential Equations
Runge-Kutta Methot: P4
k4= x f(xi+ x , yi+k3) P3
yi+1
k3= x f(xi+ x /2, yi+k2/2)
yi+k3 P2
k2= x f(xi+ x /2, yi+k1/2) P1
yi+k2/2
k1=x . f(xi , yi)
yi+k1/2
y(x) =?