
Applied Partial Differential Equations with Fourier Series and Boundary Value Problems
Description
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This text is ideal for students in science, engineering, and applied mathematics.
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Content
- Cover
- Table of Contents
- 1. Heat Equation
- 2. Method of Separation of Variables
- 3. Fourier Series
- 4. Wave Equation: Vibrating Strings and Membranes
- 5. Sturm-Liouville Eigenvalue Problems
- 6. Finite Difference Numerical Methods for Partial Differential Equations
- 7. Higher-Dimensional Partial Differential Equations
- 8. Nonhomogeneous Problems
- 9. Green's Functions for Time-Independent Problems
- 10. Infinite Domain Problems: Fourier Transform Solutions
- 11. Green's Functions for Wave and Heat Equations
- 12. The Method of Characteristics for Linear and Quasilinear Wave Equations
- 13. Laplace Transform Solution of Partial Differential Equations
- Index
- A
- B
- C
- D
- E
- F
- G
- H
- I
- L
- M
- N
- O
- P
- Q
- R
- S
- T
- U
- V
- W
- X
- Y
- Z
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