HW10 Solution

# HW10 Solution - ME 218 ENGINEERING COMPUTATIONAL METHODS...

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ME 218: ENGINEERING COMPUTATIONAL METHODS Homework #10 Assigned: Thursday, November 17 th , 2011 Due: Wednesday, November 23 rd , 2011 at 5pm Please hand your homeworks to Diana Ziegler (ETC 5.128) or slide the homeworks under Dr. Djurdjanovic’s office door (ETC 5.122) Name: __________________UT EID: ____________Unique: _________ Lab Time: (Mon/Tue) ___PM Problem 1: Conversion of Higher Order ODE to 1 st Order ODEs (just do it by hand) Problem 2: Solving IVP using 4 th order RK method with Matlab

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Problem 3: Boundary Value Problem (Finite Difference Method) A 60-m long flexible cable is fixed at both ends. The vertical displacement (positive downward) of the cable is described by the following boundary value problem. T ) ( ) ( 2 2 x w dx x y d = with y(0 m )=0 m and y( 60 m ) = 0 m The cable tension T is 10000 [ N ] and the load (weight) distribution w(x) along the cable is given by ] / [ ) 20 / exp( 10 10 ) ( m N x x w = . Determine the shape of the cable using finite difference method with m x 2 = ; i.e. find y(2), y(4), … ,y(46), y(48).
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• Fall '08
• Unknown
• Boundary value problem, finite difference, Finite difference method, Diana Ziegler, initial parameter vaules

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