Boundary Value Problems and Partial Differential Equations 5th Edition by David Powers ISBN 0080916732 9780080916736

Boundary Value Problems: and Partial Differential Equations 5th Edition by David L. Powers – Ebook PDF Instant Download/Delivery: 0080916732, 9780080916736

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Product details:

ISBN 10: 0080916732

ISBN 13: 9780080916736

Author:  David L. Powers 

Boundary Value Problems: and Partial Differential Equations 5th Edition: This student solutions manual accompanies the text, Boundary Value Problems and Partial Differential Equations, 5e. The SSM is available in print via PDF or electronically, and provides the student with the detailed solutions of the odd-numbered problems contained throughout the book.

• Provides students with exercises that skillfully illustrate the techniques used in the text to solve science and engineering problems
• Nearly 900 exercises ranging in difficulty from basic drills to advanced problem-solving exercises
• Many exercises based on current engineering applications

 

Boundary Value Problems: and Partial Differential Equations 5th Edition Table of contents:

Chapter 0. Ordinary Differential Equations

• 0.1 Homogeneous Linear Equations
• 0.2 Nonhomogeneous Linear Equations
• 0.3 Boundary Value Problems
• 0.4 Singular Boundary Value Problems
• 0.5 Green’s Functions
• Miscellaneous

Chapter 1. Fourier Series and Integrals

• 1.1 Periodic Functions and Fourier Series
• 1.2 Arbitrary Period and Half-Range Expansions
• 1.3 Convergence of Fourier Series
• 1.4 Uniform Convergence
• 1.5 Operations on Fourier Series
• 1.6 Mean Error and Convergence in Mean
• 1.7 Proof of Convergence
• 1.8 Numerical Fourier Coefficients
• 1.9 Fourier Integral
• 1.10 Complex Methods
• 1.11 Applications of Fourier Series and Integrals
• Miscellaneous Exercises

Chapter 2. The Heat Equation

• 2.1 Derivation and Boundary Conditions
• 2.2 Steady-State Temperatures
• 2.3 Example: Fixed End Temperatures
• 2.4 Example: Insulated Bar
• 2.5 Example: Different Boundary Conditions
• 2.6 Example: Convection
• 2.7 Sturm-Liouville Problems
• 2.8 Expansion in Series of Eigenfunctions
• 2.9 Generalities on the Heat Conduction Problem
• 2.10 Semi-Infinite Rod
• 2.11 Infinite Rod
• 2.12 The Error Function
• Miscellaneous

Chapter 3. The Wave Equation

• 3.1 The Vibrating String
• 3.2 Solution of the Vibrating String Problem
• 3.3 D’Alembert’s Solution
• 3.4 One-Dimensional Wave Equations: Generalities
• 3.5 Estimation of Eigenvalues
• 3.6 Wave Equation in Unbounded Regions
• Miscellaneous

Chapter 4. The Potential Equation

• 4.1 Potential Equation
• 4.2 Potential in a Rectangle
• 4.3 Further Examples for a Rectangle
• 4.4 Potential in Unbounded Regions
• 4.5 Potential in a Disk
• 4.6 Classification and Limitations
• Miscellaneous Exercises

Chapter 5. Higher Dimensions and Other Coordinates

• 5.1 Two-Dimensional Wave Equation: Derivation
• 5.2 Three-Dimensional Heat Equations: Vector Derivation
• 5.3 Two-Dimensional Heat Equation: Solution
• 5.4 Problems in Polar Coordinates
• 5.5 Bessel’s Equation
• 5.6 Temperature in a Cylinder
• 5.7 Vibrations of a Circular Membrane
• 5.8 Some Applications of Bessel Functions
• 5.9 Spherical Coordinates; Legendre Polynomials
• 5.10 Some Applications of Legendre Polynomials
• Miscellaneous

Chapter 6. Laplace Transform

• 6.1 Definition and Elementary Properties
• 6.2 Partial Fractions and Convolutions
• 6.3 Partial Differential Equations
• 6.4 More Difficult Examples
• Miscellaneous Exercises

Chapter 7. Numerical Methods

• 7.1 Boundary Value Problems
• 7.2 Heat Problems
• 7.3 Wave Equation
• 7.4 Potential Equation
• 7.5 Two-Dimensional Problems

 

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