Taylor Series Expansion
2016+Week4
2016+Week4
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
Comparison of numerical and<br />
analytical solutions<br />
x<br />
Numerical Solution<br />
h = 0.1 h = 0.2<br />
Analytical solution<br />
0.0 1.0 1.0 1.0<br />
0.1 1.0 1.0050<br />
0.2 1.01 1.0 1.0198<br />
0.3 1.0298 1.0440<br />
0.4 1.0589 1.0400 1.0770<br />
0.5 1.0967 1.1180<br />
0.6 1.1423 1.1169 1.1662<br />
0.7 1.1948 1.2207<br />
0.8 1.2534 1.2243 1.2806<br />
0.9 1.3172 1.3454<br />
1.0 1.3855 1.3550 1.4142