WebThe Chebyshev Tau spectral method that we use to solve the stability equations is presented in section 4. In section 5 we present the numerical results corresponding to the critical Rayleigh number Ra c and critical wave number a c for different values of the rate of melting l of the solid phase. Finally the concluding remarks are WebTu, Y. Wang, Q. Lan, W. Liu, W. Xiao and S. Ma , A Chebyshev–Tau spectral method for normal modes of underwater sound propagation with a layered marine environment, J. Sound Vib. 492 (2024) 1–16. Crossref , Google Scholar
Three-Dimensional Thermal Vibration of CFFF Functionally
WebJul 29, 2024 · The Tau method was originally proposed by C. Lanczos [ 20 ], initially to solve linear ordinary differential equations, and afterwards extended to a broad set of problem categories. It became more well-known from the work of Ortiz and Samara in the eighties [ 28, 29 ]. WebNov 7, 2024 · This research apparatuses an approximate spectral method for the nonlinear time-fractional partial integro-differential equation with a weakly singular kernel (TFPIDE). The main idea of this approach is to set up a new Hilbert space that satisfies the initial and boundary conditions. The new spectral collocation approach is applied to obtain precise … medium density fiberboard mdf substrate
Solving differential eigenproblems via the spectral Tau method
WebChebyshev-Tau spectral method for the normal mode model 3.1. Chebyshev spectral method The spectral method is based on using finite-order function expansion and truncation to approximate the ... WebJan 1, 2004 · International Journal of Computer Mathematics. An approximate method for solving higher-order ordinary differential equations is proposed. The approach is … WebApr 8, 2015 · The spectral methods based on Chebyshev polynomials as basis functions for solving numerical differential equations [ 16 – 18] with smooth coefficients and simple domain have been well applied by many authors. Furthermore, they can often achieve ten digits of accuracy while FDMs and FEMs would get two or three. medium density fiberboard uses