euler_method - EM-Euler's Method IEM-Improved Euler's...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: EM-Euler's Method IEM-Improved Euler's Method h= 0.06 n 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 n 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 xn 0.0000 0.0625 0.1250 0.1875 0.2500 0.3125 0.3750 0.4375 0.5000 0.5625 0.6250 0.6875 0.7500 0.8125 0.8750 0.9375 1.0000 EM yn 1.000000000 1.062500000 1.128906250 1.199462891 1.274429321 1.354081154 1.438711226 1.528630678 1.624170095 1.725680726 1.833535771 1.948131757 2.069889992 2.199258116 2.336711749 2.482756233 2.637928497 |EM-EXACT| |IEM-EXACT| 0.000000 0.000000 0.001994 0.000041 0.004242 0.000088 0.006767 0.000141 0.009596 0.000199 0.012757 0.000265 0.016280 0.000339 0.020200 0.000421 0.024551 0.000512 0.029374 0.000613 0.034710 0.000725 0.040606 0.000849 0.047110 0.000986 0.054277 0.001137 0.062164 0.001304 0.070833 0.001487 0.080353 0.001688 IEM yn 1.000000000 1.064453125 1.133060455 1.206089742 1.283825995 1.366572593 1.454652467 1.548409364 1.648209187 1.754441419 1.867520651 1.987888193 2.116013800 2.252397501 2.397571559 2.552102539 2.716593522 2.80 2.60 Exact (y=ex) 1.000000000 1.064494459 1.133148453 1.206230249 1.284025417 1.366837941 1.454991415 1.548830299 1.648721271 1.755054657 1.868245957 1.988737470 2.117000017 2.253534787 2.398875294 2.553589458 2.718281828 2.40 2.20 2.00 Column C Column D Column E 1.80 1.60 1.40 1.20 1.00 0.0625 0.1875 0.3125 0.4375 0.5625 0.6875 0.8125 0.9375 0.0000 0.1250 0.2500 0.3750 0.5000 0.6250 0.7500 0.8750 1.0000 0.080 0.070 0.060 0.050 0.040 Column B Column C 0.030 0.020 0.010 0.000 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 ...
View Full Document

This note was uploaded on 07/18/2011 for the course MAP 2302 taught by Professor Tuncer during the Summer '08 term at University of Florida.

Ask a homework question - tutors are online