The use of Chebyshev cardinal functions for the solution of a partial differential equation with an unknown time-dependent coefficient subject to an extra measurement - Lakestani, Mehrdad; Dehghan, Mehdi (Journal of computational and applied mathematics, 2010)
Keywords: Algebra; Approximation; Chebyshev approximation; Chebyshev cardinal functions; Coefficients; Computation; Derivatives; Exact sciences and technology; Mathematical analysis; Mathematical models; Mathematics; Numerical analysis; Numerical analysis in abstract spaces; Numerical analysis. Scientific computation; Operational matrix of derivative; Parabolic inverse problem; Parameter determination problem; Partial differential equations; Partial differential equations, boundary value problems; Partial differential equations, initial value problems and time-dependant initial-boundary value problems; Sciences and techniques of general use; Unknown diffusion coefficient; Operational matrix of derivative; Parabolic inverse problem; Parameter determination problem; Chebyshev cardinal functions; Unknown diffusion coefficient; Initial value problem; Partial differential equation; Inverse problem; Parabolic equation; Numerical analysis; Boundary value problem; Applied mathematics; Algebraic equation