 122.12.2.1: Approximate the solution to the following partial differential equa...
 122.12.2.2: Approximate the solution to the following partial differential equa...
 122.12.2.3: Repeat Exercise 1 using the CrankNicolson Algorithm
 122.12.2.4: Repeat Exercise 2 using the CrankNicolson Algorithm.
 122.12.2.5: Use the ForwardDifference method to approximate the solution to th...
 122.12.2.6: Use the ForwardDifference method to approximate the solution to th...
 122.12.2.7: Repeat Exercise 5 using the BackwardDifference Algorithm.
 122.12.2.8: Repeat Exercise 6 using the BackwardDifference Algorithm.
 122.12.2.9: Repeat Exercise 5 using the CrankNicolson Algorithm.
 122.12.2.10: Repeat Exercise 6 using the CrankNicolson Algorithm.
 122.12.2.11: Repeat Exercise 5 using Richardsons method.
 122.12.2.12: Repeat Exercise 6 using Richardsons method.
 122.12.2.13: Show that the eigenvalues for the (m 1) by (m 1) tridiagonal method...
 122.12.2.14: Show that the (m 1) by (m 1) tridiagonal method matrix A given by a...
 122.12.2.15: Modify Algorithms 12.2 and 12.3 to include the parabolic partial di...
 122.12.2.16: Use the results of Exercise 15 to approximate the solution to u t 2...
 122.12.2.17: Change Algorithms 12.2 and 12.3 to accommodate the partial differen...
 122.12.2.18: The temperature u(x, t) of a long, thin rod of constant cross secti...
 122.12.2.19: Sagar and Payne [SP] analyze the stressstrain relationships and ma...
Solutions for Chapter 122: Parabolic Partial Differential Equations
Full solutions for Numerical Analysis (Available Titles CengageNOW)  8th Edition
ISBN: 9780534392000
Solutions for Chapter 122: Parabolic Partial Differential Equations
Get Full SolutionsSince 19 problems in chapter 122: Parabolic Partial Differential Equations have been answered, more than 11451 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Numerical Analysis (Available Titles CengageNOW) , edition: 8. Chapter 122: Parabolic Partial Differential Equations includes 19 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Numerical Analysis (Available Titles CengageNOW) was written by and is associated to the ISBN: 9780534392000.

Common difference
See Arithmetic sequence.

Constant
A letter or symbol that stands for a specific number,

Convergence of a sequence
A sequence {an} converges to a if limn: q an = a

Direction of an arrow
The angle the arrow makes with the positive xaxis

Exponential growth function
Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

Histogram
A graph that visually represents the information in a frequency table using rectangular areas proportional to the frequencies.

Irrational numbers
Real numbers that are not rational, p. 2.

Irreducible quadratic over the reals
A quadratic polynomial with real coefficients that cannot be factored using real coefficients.

Logarithmic regression
See Natural logarithmic regression

Logistic regression
A procedure for fitting a logistic curve to a set of data

Parallel lines
Two lines that are both vertical or have equal slopes.

Quadratic function
A function that can be written in the form ƒ(x) = ax 2 + bx + c, where a, b, and c are real numbers, and a ? 0.

Solve an equation or inequality
To find all solutions of the equation or inequality

Solve by substitution
Method for solving systems of linear equations.

Standard form: equation of a circle
(x  h)2 + (y  k2) = r 2

Standard representation of a vector
A representative arrow with its initial point at the origin

Synthetic division
A procedure used to divide a polynomial by a linear factor, x  a

xaxis
Usually the horizontal coordinate line in a Cartesian coordinate system with positive direction to the right,.

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.