Generalized pseudospectral method
WebFeb 2, 2016 · A generalized coordinate transformation was used to extend the multi-domain method to complex geometries. ... A novel multi-domain pseudospectral method was developed to solve the two-dimensional ... WebApr 1, 2024 · In this paper, a pseudospectral method is proposed for the nonlinear Fokker-Planck equations modeling the relaxation of fermion and boson gases. A full-discrete generalized Hermite pseudospectral scheme is constructed. Its convergence, stability and uniqueness are proved strictly.
Generalized pseudospectral method
Did you know?
WebSep 23, 2024 · Given that this method requires generalized Lagrange functions and their derivative operational matrices, we first introduce them and then implement the … WebAug 2, 2024 · In this paper we show that these conditions can be conveniently introduced into the generalized pseudospectral (GPS) method. Four types of balanced condition, …
WebApr 11, 2024 · Our results are in agreement with each other based on an improved finite difference and pseudospectral methods. And numerical divergences are controlled effectively based on these two independent numerical schemes. ... [21] to simulate the BD model with long-range temporally correlated noise, and generalized to the temporally … WebGeneralized Laguerre pseudospectral methods are analyzed and implemented. Two model problems are considered. The proposed schemes keep spectral accuracy and, …
WebJan 1, 2006 · Generalized Laguerre pseudospectral methods are analyzed and implemented. Two model problems are considered. The proposed schemes keep spectral accuracy and, with suitable choice of basis... WebThis research is dedicated to the analysis and construction of an efficient method based on the Pseudospectral method for the second type of Abel's integral equation using Hermite cubic spline scaling bases (HCSSb).
WebNov 15, 1994 · A Legendre Pseudospectral Method for Solving Nonlinear Klein-Gordon Equation 121 is still controlled by the errors of data. Indeed, it means that (2.7) is of generalized stability with the index s < 0 (see[15]). Next we consider the case with (4.8). We have from Lemma 10 that G(x,t) = G(ü(x,t)) + Ř(x,t), with
WebJul 1, 2012 · The pseudospectral variety of these methods uses a numerical integration rule to approximate the Fourier-type coefficients of a truncated expansion in orthogonal polynomials. ... namely the Generalized Pseudospectral Method (GPM), for solving the linear and nonlinear ordinary/partial differential equations. Initially, we introduce a new … balustrada a barierkaWebWhat possibilites does NDSolve provide for solving partial differential equation using a pseudospectral method? NDSolve provides the Option "DifferenceOrder"->"Pseudospectral". As I understand the documentary the method is using some form of Chebyshev polynomials T n for the expansion of a function f to solve the differential … balustrada aluminiowaWebThe pseudospectral solution of a third-order initial-boundary value problem is considered and accuracy is assessed by examining how well the discrete eigenproblem approximates the continuous one. Convergence is established for a special choice of collocation points and numerical results are included to demonstrate the viability of the approach. balustradaWebJan 1, 2024 · In summary, the method of generalized pseudospectral matrix representations proposed in this paper can be utilized to prove new identities satisfied by nonclassical orthogonal polynomials that are generalized, rather than standard, eigenfunctions of linear differential operators. The proposed generalized matrix … arma perles 4lWebMar 24, 2024 · [8] Guo B.Y., Spectral and pseudospectral methods for unbounded domains, Sci. China Math. 45 (2015) 975 – 1024. Google Scholar [9] Wang T.J., Generalized Laguerre spectral method for Fisher's equation on a semi-infinite interval, Int. J. Comput. Math. 92 (2015) 1039 – 1052. Google Scholar arma pmerjWebMay 1, 2024 · Generalized pseudospectral method: Theory and applications 1. Introduction. Many phenomena in engineering, physics, biology, medicine, and applied sciences are modeled by linear... 2. Generalized Pseudospectral Method. In classical pseudospectral … Highlights Two radial basis functions methods to approximate the solution of … The method provides the solution in a rapidly convergent series with … In this paper, we propose a numerical scheme to solve the one-dimensional … Polynomial differential quadrature method. Differential quadrature method is a … The convergence of the collocation method for Eq. (50) Theorem 2 Convergence. … Table 1, Table 2 show that the Adomain decomposition method and the … The Adomian decomposition method needs less work in comparison with the … Hence the combination of modified cubic B-spline differential quadrature method in … A review of the decomposition method and some recent results for nonlinear … The sinc–Galerkin method is used to solve the nonlinear two point boundary value … balustrada 3dWebA GENERALIZED F OURIER PSEUDOSPECTRAL METHOD F OR ELASTOD YNAMICS b y JEFFREY LEONARD ORREY B. S., Ph ysics, Univ ersit y of California, 1986 M. S., Ph … baluster wiki