Jacobi pseudo-spectral method JPSM and BPES for solving differential equations
type: Item
instance of: scholarly article
title: Jacobi pseudo-spectral method JPSM and BPES for solving differential equations
zbMATH Open document ID: 1257.65038
author: M. C. Fu
published in: Differential Equations and Dynamical Systems
publication date: 2012-11-30T00:00:00Z
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 6111597
zbMATH Keywords: Lane-Emden type equation
zbMATH Keywords: second-order initial value problems
zbMATH Keywords: pseudo-spectral method
zbMATH Keywords: Jacobi-Gauss quadrature
zbMATH Keywords: shifted Jacobi polynomials
zbMATH Keywords: Boubaker polynomials expansion scheme
zbMATH Keywords: collocation
zbMATH Keywords: numerical example
MaRDI profile type: Publication
full work available at URL: s12591-012-0105-y
OpenAlex ID: W1966015486
cites work: Efficient spectral-Galerkin algorithms for direct solution for second-order differential equations using Jacobi polynomials
cites work: Second order initial value problems of Lane-Emden type
cites work: A generalization of the Lane–Emden equation
cites work: Homotopy analysis method for singular IVPs of Emden-Fowler type
cites work: Legendre-Galerkin method for sixth-order boundary value problems
cites work: Jacobi spectral Galerkin method for the integrated forms of second-order differential equations
cites work: Q4039908
cites work: B-spline solution of non-linear singular boundary value problems arising in physiology
cites work: Ellipsoidal figures of equilibrium—an historical account
cites work: Solutions of a class of singular second-order IVPs by homotopy-perturbation method
cites work: Solutions of Emden-Fowler equations by homotopy-perturbation method
cites work: Efficient spectral ultraspherical-Galerkin algorithms for the direct solution of 2nth-order linear differential equations
cites work: An analytical solution to applied mathematics-related Love's equation using the Boubaker polynomials expansion scheme
cites work: Q3063907
cites work: Analytical solutions to the pulsed Klein-Gordon equation using modified variational iteration method (MVIM) and Boubaker polynomials expansion scheme (BPES)
cites work: A NEW PARAMETER: AN ABACUS FOR OPTIMIZING PV–T HYBRID SOLAR DEVICE FUNCTIONAL MATERIALS USING THE BOUBAKER POLYNOMIALS EXPANSION SCHEME
cites work: The stability of the Boubaker polynomials expansion scheme (BPES)-based solution to Lotka-Volterra problem
cites work: On using a modified Legendre-spectral method for solving singular IVPs of Lane-Emden type.
cites work: Solutions of singular IVPs of Lane-Emden type by the variational iteration method
cites work: Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method
cites work: An implicit series solution for a boundary value problem modelling a thermal explosion
cites work: Method for solving nonlinear initial value problems by combining homotopy perturbation and reproducing kernel Hilbert space methods
DOI: 10.1007/S12591-012-0105-Y
description: scientific article; zbMATH DE number 6111597