Chebyshev pseudospectral method

The Chebyshev pseudospectral method is a numerical technique used for solving differential equations and integral equations with high accuracy. This method leverages the properties of Chebyshev polynomials and utilizes spectral collocation, making it particularly effective for problems with smooth solutions. Here’s a breakdown of the key components: ### Chebyshev Polynomials Chebyshev polynomials are a sequence of orthogonal polynomials defined on the interval \([-1, 1]\).