A numerical solution for non-classical parabolic problem based on Chebyshev spectral collocation method - Golbabai, A.; Javidi, M. (Applied mathematics and computation, 2007)
Keywords: Chebyshev polynomials; Exact sciences and technology; Global analysis, analysis on manifolds; Local interpolating functions; Mathematical analysis; Mathematics; Non-classical conditions; Numerical analysis; Numerical analysis. Scientific computation; Parabolic 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; Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds; Local interpolating functions; Parabolic problem; Chebyshev polynomials; Non-classical conditions; Chebyshev polynomial; Initial value problem; Numerical method; Polynomial method; Partial differential equation; Parabolic equation; Numerical analysis; Boundary value problem; Applied mathematics; Numerical solution; Collocation method