×
×

# Solutions for Chapter 15: NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS

## Full solutions for Differential Equations with Boundary-Value Problems | 7th Edition

ISBN: 9780495108368

Solutions for Chapter 15: NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS

Solutions for Chapter 15
4 5 0 422 Reviews
31
3
##### ISBN: 9780495108368

Chapter 15: NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS includes 3 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Differential Equations with Boundary-Value Problems was written by and is associated to the ISBN: 9780495108368. Since 3 problems in chapter 15: NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS have been answered, more than 15529 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Differential Equations with Boundary-Value Problems, edition: 7.

Key Calculus Terms and definitions covered in this textbook
• Combinatorics

A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

• Common ratio

See Geometric sequence.

• Control

The principle of experimental design that makes it possible to rule out other factors when making inferences about a particular explanatory variable

• De Moivre’s theorem

(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

• Divisor of a polynomial

See Division algorithm for polynomials.

• Elements of a matrix

See Matrix element.

• Equal complex numbers

Complex numbers whose real parts are equal and whose imaginary parts are equal.

• Inverse tangent function

The function y = tan-1 x

• Irrational numbers

Real numbers that are not rational, p. 2.

• Main diagonal

The diagonal from the top left to the bottom right of a square matrix

• Mathematical model

A mathematical structure that approximates phenomena for the purpose of studying or predicting their behavior

• n-set

A set of n objects.

• Permutation

An arrangement of elements of a set, in which order is important.

• Pole

See Polar coordinate system.

• Power function

A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

• Pythagorean identities

sin2 u + cos2 u = 1, 1 + tan2 u = sec2 u, and 1 + cot2 u = csc2 u

• Rational zeros

Zeros of a function that are rational numbers.

• Reflection through the origin

x, y and (-x,-y) are reflections of each other through the origin.

• Statute mile

5280 feet.

• yz-plane

The points (0, y, z) in Cartesian space.

×