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
,
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
,
