# N36 - ME 510 NUMERICAL METHODS FOR ME II EXAMPLE ON...

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ME – 510 NUMERICAL METHODS FOR ME II g51g85g82g73g17g3g39g85g17g3g41g68g85g88g78g3g36g85g213g81g111 Fall 2007 EXAMPLE ON MULTI-STEP METHODS cos(t) y t d y d g32 IC: y (0) = 1 Exact Solution: y (t) = e sin(t) Use Heun's method to start and 3-point Adams-Bashfort open formula to proceed: ME – 510 NUMERICAL METHODS FOR ME II g51g85g82g73g17g3g39g85g17g3g41g68g85g88g78g3g36g85g213g81g111 Fall 2007 t y (t) Heun's Adams-Bashfort Exact y n % Error y n % Error 0 0 1.0 1.0 0.25 1.28070 1.27639 0.34 0.5 1.61515 1.60492 0.63 0.75 1.97712 1.95996 0.87 1.97172 0.27 1.0 2.31978 2.29591 1.03 2.32236 - 0.11 1.25 2.58309 2.55358 1.14
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• Spring '11
• dr.FaruckArinc
• Trigraph, Heun, 0.04 0.45 1.04 1.48 1.57 1.28 0.71 %

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