 113.11.3.1: The boundaryvalue problem y = 4(y x), 0 x 1, y(0) = 0, y(1) = 2 ha...
 113.11.3.2: The boundaryvalue problem y = y + 2y + cos x, 0 x 2 , y(0) = 0.3, ...
 113.11.3.3: Use the Linear FiniteDifference Algorithm to approximate the solut...
 113.11.3.4: Although q(x) < 0 in the following boundaryvalue problems, unique ...
 113.11.3.5: Use the Linear FiniteDifference Algorithm to approximate the solut...
 113.11.3.6: Repeat Exercise 3(a) and (b) using the extrapolation discussed in E...
 113.11.3.7: The lead example of this chapter concerned the deflection of a beam...
 113.11.3.8: The deflection of a uniformly loaded, long rectangular plate under ...
 113.11.3.9: Prove Theorem 11.3. [Hint: To use Theorem 6.29, first show that h 2...
 113.11.3.10: Show that if y C6[a, b] and if w0, w1,... ,wN+1 satisfy Eq. (11.18)...
Solutions for Chapter 113: FiniteDifference Methods for Linear Problems
Full solutions for Numerical Analysis (Available Titles CengageNOW)  8th Edition
ISBN: 9780534392000
Solutions for Chapter 113: FiniteDifference Methods for Linear Problems
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Numerical Analysis (Available Titles CengageNOW) , edition: 8. Since 10 problems in chapter 113: FiniteDifference Methods for Linear Problems have been answered, more than 12519 students have viewed full stepbystep solutions from this chapter. Chapter 113: FiniteDifference Methods for Linear Problems includes 10 full stepbystep solutions. Numerical Analysis (Available Titles CengageNOW) was written by and is associated to the ISBN: 9780534392000.

Bounded
A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

Commutative properties
a + b = b + a ab = ba

Convenience sample
A sample that sacrifices randomness for convenience

Coordinate plane
See Cartesian coordinate system.

Degree of a polynomial (function)
The largest exponent on the variable in any of the terms of the polynomial (function)

Descriptive statistics
The gathering and processing of numerical information

Ellipsoid of revolution
A surface generated by rotating an ellipse about its major axis

Exponential regression
A procedure for fitting an exponential function to a set of data.

Horizontal component
See Component form of a vector.

Imaginary unit
The complex number.

Linear regression line
The line for which the sum of the squares of the residuals is the smallest possible

Minute
Angle measure equal to 1/60 of a degree.

Onetoone rule of logarithms
x = y if and only if logb x = logb y.

Orthogonal vectors
Two vectors u and v with u x v = 0.

Sum of complex numbers
(a + bi) + (c + di) = (a + c) + (b + d)i

Sum of two vectors
<u1, u2> + <v1, v2> = <u1 + v1, u2 + v2> <u1 + v1, u2 + v2, u3 + v3>

Trichotomy property
For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.

Wrapping function
The function that associates points on the unit circle with points on the real number line

Zero factor property
If ab = 0 , then either a = 0 or b = 0.

Zero of a function
A value in the domain of a function that makes the function value zero.