- 11-18.104.22.168: The boundary-value problem y = 4(y x), 0 x 1, y(0) = 0, y(1) = 2 ha...
- 11-22.214.171.124: The boundary-value problem y = y + 2y + cos x, 0 x 2 , y(0) = 0.3, ...
- 11-126.96.36.199: Use the Linear Finite-Difference Algorithm to approximate the solut...
- 11-188.8.131.52: Although q(x) < 0 in the following boundary-value problems, unique ...
- 11-184.108.40.206: Use the Linear Finite-Difference Algorithm to approximate the solut...
- 11-220.127.116.11: Repeat Exercise 3(a) and (b) using the extrapolation discussed in E...
- 11-18.104.22.168: The lead example of this chapter concerned the deflection of a beam...
- 11-22.214.171.124: The deflection of a uniformly loaded, long rectangular plate under ...
- 11-126.96.36.199: Prove Theorem 11.3. [Hint: To use Theorem 6.29, first show that h 2...
- 11-188.8.131.52: Show that if y C6[a, b] and if w0, w1,... ,wN+1 satisfy Eq. (11.18)...
Solutions for Chapter 11-3: Finite-Difference Methods for Linear Problems
Full solutions for Numerical Analysis (Available Titles CengageNOW) | 8th Edition
A triangle in which all angles measure less than 90°
A flaw in the design of a sampling process that systematically causes the sample to differ from the population with respect to the statistic being measured. Undercoverage bias results when the sample systematically excludes one or more segments of the population. Voluntary response bias results when a sample consists only of those who volunteer their responses. Response bias results when the sampling design intentionally or unintentionally influences the responses
An interval that has finite length (does not extend to ? or -?)
The function y = csc x
See Equilibrium point.
A subset of a sample space.
Graph of parametric equations
The set of all points in the coordinate plane corresponding to the ordered pairs determined by the parametric equations.
Inverse sine function
The function y = sin-1 x
Irreducible quadratic over the reals
A quadratic polynomial with real coefficients that cannot be factored using real coefficients.
kth term of a sequence
The kth expression in the sequence
Lower bound for real zeros
A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c
A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the left-hand endpoint of each subinterval
A variable (in statistics) that takes on numerical values for a characteristic being measured.
Zeros of a function that are real numbers.
Right circular cone
The surface created when a line is rotated about a second line that intersects but is not perpendicular to the first line.
A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the right-hand end point of each subinterval.
A plot of all the ordered pairs of a two-variable data set on a coordinate plane.
Solution of an equation or inequality
A value of the variable (or values of the variables) for which the equation or inequality is true
Standard representation of a vector
A representative arrow with its initial point at the origin
Upper bound for ƒ
Any number B for which ƒ(x) ? B for all x in the domain of ƒ.