diffeq - tn yn kn1 kn2 kn3 kn4 yn 1 2 1 1.3 1.33 1.33 2.25...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Euler tn yn f(tn,yn) hf(tn,yn) yn+1=yn+hf(tn,yn) 2tnyn+1 .2(2tnyn+1) yn+.2(2tnyn+1) 0 2 1 0.2 2.2 0.2 2.2 1.88 0.38 2.58 0.4 2.58 3.06 0.61 3.19 0.6 3.19 4.83 0.97 4.15 0.8 4.15 7.65 1.53 5.68 Improved Euler tn yn A tn+1 B C h(A+C)/2 0 2 1 0.2 2.2 2.6 0.36 0.2 2.36 1.94 0.4 2.75 3.55 0.55 0.4 2.91 3.33 0.6 3.57 4.77 0.81 0.6 3.72 5.46 0.8 4.81 6.41 1.19 0.8 4.91 8.85 1 6.68 8.68 1.75 Runge-Kutta
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: tn yn kn1 kn2 kn3 kn4 yn+1 2 1 1.3 1.33 1.33 2.25 0.2 2.25 1.94 1.82 1.81 1.81 2.62 0.4 2.62 3.33 2.39 2.3 2.29 3.12 0.6 3.12 5.46 3.06 2.82 2.79 3.79 0.8 3.79 8.85 3.86 3.37 3.32 4.67 yn+1=yn+h(A+C)/2 2.36 2.91 3.72 4.91 6.66...
View Full Document

This note was uploaded on 04/29/2008 for the course MATH 83 taught by Professor Sanders during the Spring '08 term at Marquette.

Page1 / 2

diffeq - tn yn kn1 kn2 kn3 kn4 yn 1 2 1 1.3 1.33 1.33 2.25...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online