Solutions to Partial Differential Equations

by S. J. Farlow

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13 of 68 listed problems currently have solution PDFs.

Lesson 1: Introduction to Partial Differential Equations

1 2 3 4 5

Lesson 2: Diffusion-Type Problems (Parabolic Equations)

1 2 3 4

Lesson 3: Boundary Conditions for Diffusion-Type Problems

1 2 3 4

Lesson 4: Derivation of the Heat Equation

1 2 3 4

Lesson 5: Separation of Variables

1 2 3 4 5 6

Lesson 6: Transforming Nonhomogeneous BCs into Homogeneous Ones

1 2 3

Lesson 7: Solving More Complicated Problems by Separation of Variables

1 2 3 4

Lesson 8: Transforming Hard Equations into Easier Ones

1 2 3

Lesson 9: Solving Nonhomogeneous PDEs (Eigenfunction Expansions)

1 2 3 4 5

Lesson 10: Integral Transforms (Sine and Cosine Transforms)

1 2 3

Lesson 11: The Fourier Series and Transform

1 2 3 4 5 6

Lesson 12: The Fourier Transform and its Application to PDEs

1 2 3 4 5

Lesson 13: The Laplace Transform

1 2 3 4

Lesson 14: Duhamel's Principle

1 2 3 4

Lesson 15: The Convection Term u_x in Diffusion Problems

1 2 3 4

Lesson 16: The One-Dimensional Wave Equation (Hyperbolic Equations)

1 2 3 4

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