Numerical Methods in Materials Sci. & Eng.

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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 eeoren@etu.edu.tr http://eeoren.etu.edu.tr Bionanodesign Laboratory

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) =?