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

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

View Full Document Right Arrow Icon
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
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern