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MAE 284 FINAL EXAM STUDY GUIDE WITH COMPLETE SOLUTION
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MAE 284 FINAL EXAM STUDY GUIDE WITH COMPLETE SOLUTION A finite difference boundary problem has boundary conditions given and is divided into n sections. How many nodes are there? How many unknowns? - answern+1 nodes, n-1 unknowns If your differential equation is non-linear what technique do you...

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  • September 13, 2023
  • 14
  • 2023/2024
  • Exam (elaborations)
  • Questions & answers

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  • mae 284 final exam
  • mae 284
  • which type of boundary
  • mae 284 final exam study guide with complete solu
  • a finite difference boundary problem has boundary
  • if your differential equation is non linear what

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MAE 284 FINAL EXAM STUDY GUIDE WITH
COMPLETE SOLUTION


A finite difference boundary problem has boundary conditions given and is divided
into n sections. How many nodes are there? How many unknowns? - answern+1
nodes, n-1 unknowns



If your differential equation is non-linear what technique do you use to solve a
boundary value problem using the shooting method? - answerRoot finding on
the residue



Which type of boundary condition is based on a linear combination of a
dependent variable and its derivative? - answerRobin



You cannot sole a non-linear boundary value problem using the finite difference
approach (T/F) - answerFalse



The finite difference method is based on converting continuous
derivatives to algebraic approximations (T/F) - answerTrue



More accurate or higher derivative finite-difference difference
approximations require the inclusion of ___ terms in the Taylor series. -
answerM O R E



MATLAB's diff function returns a vector that is the same length as the original
vector (T/F) - answerFalse (1 item smaller)



When compared to numerical integration, numerical differentiation is _____
sensitive to errors -
answerM O R E



If you have a small step size, h, and you want a more accurate approximation,
which would be better: Cutting step size in half, or more accurate
approximation? - answerMore accurate approximation

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