Austin's Practice Problems

Partial Differential Equations / Diffusion Equation

Choose the coefficients of a truncated sine series to best approximate the solution of φ_t = a²φ_xx with φ(0, t) = φ(ℓ, t) = 0 and φ(x, 0) = g(x)

Exercise 1.4.2

Handwritten solution, page 1 of 1. Choose the coefficients of a truncated sine series to best approximate the solution of φ_t = a²φ_xx with φ(0, t) = φ(ℓ, t) = 0 and φ(x, 0) = g(x)

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Austin Shank