New formulas for the repeated integrals of some Jacobi polynomials: spectral solutions of even-order boundary value problems
type: Item
instance of: scholarly article
title: New formulas for the repeated integrals of some Jacobi polynomials: spectral solutions of even-order boundary value problems
zbMATH Open document ID: 1499.65313
author: Waleed M. Abd-Elhameed
author: Asmaa M. Alkenedri
published in: International Journal of Applied and Computational Mathematics
publication date: 2022-03-15T00:00:00Z
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 42C10
Mathematics Subject Classification ID: 65L60
zbMATH DE Number: 7489945
zbMATH Keywords: Jacobi polynomials
zbMATH Keywords: boundary value problems
zbMATH Keywords: Galerkin method
zbMATH Keywords: Zeilberger's algorithm
zbMATH Keywords: linear systems
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: s40819-021-01109-z
OpenAlex ID: W3193866071
Wikidata QID: Q113895701
cites work: Q4039908
cites work: Q4791752
cites work: Q4199478
cites work: On the coefficients of integrated expansions and integrals of Chebyshev polynomials of third and fourth kinds
cites work: On the coefficients of differentiated expansions and derivatives of Chebyshev polynomials of the third and fourth kinds
cites work: Numerical solutions of integral and integro-differential equations using Chebyshev polynomials of the third kind
cites work: New spectral-Galerkin algorithms for direct solution of high even-order differential equations using symmetric generalized Jacobi polynomials
cites work: The coefficients of differentiated expansions of double and triple Jacobi polynomials
cites work: Shifted Jacobi spectral collocation method with convergence analysis for solving integro-differential equations and system of integro-differential equations
cites work: Spectral Methods in Chemistry and Physics
cites work: Spectral Methods for Time-Dependent Problems
cites work: Chebyshev and Fourier spectral methods.
cites work: Spectral Methods in MATLAB
cites work: Modified Galerkin algorithm for solving multitype fractional differential equations
cites work: A new Jacobi rational-Gauss collocation method for numerical solution of generalized pantograph equations
cites work: \(L\)-stable explicit nonlinear method with constant and variable step-size formulation for solving initial value problems
cites work: Q5518219
cites work: Spectral Galerkin methods for the primary two-point boundary value problem in modelling viscoelastic flows
cites work: On coupled bending and torsional vibration of uniform beams
cites work: Spline solutions of linear eighth-order boundary-value problems
cites work: Numerical methods for eighth-, tenth- and twelfth-order eigenvalue problems arising in thermal instability
cites work: Homotopy perturbation method: a new nonlinear analytical technique
cites work: Collocation for high order differential equations with two-points Hermite boundary conditions
cites work: A new spectral method for a class of linear boundary value problems
cites work: Numerical Solution of Eighth-order Boundary Value Problems by Using Legendre Polynomials
cites work: Fifth-kind orthonormal Chebyshev polynomial solutions for fractional differential equations
cites work: Sixth-kind Chebyshev spectral approach for solving fractional differential equations
cites work: On Solving Linear and Nonlinear Sixth-Order Two PointBoundary Value Problems Via an Elegant HarmonicNumbers Operational Matrix of Derivatives
cites work: Q4079940
cites work: Hypergeometric summation. An algorithmic approach to summation and special function identities
cites work: Efficient spectral ultraspherical-Galerkin algorithms for the direct solution of 2nth-order linear differential equations
cites work: New algorithms for solving high even-order differential equations using third and fourth Chebyshev-Galerkin methods
cites work: Numerical comparison of methods for solving a special fourth-order boundary value problem
cites work: Numerical solution of fourth order boundary-value problems using Haar wavelets
cites work: Q4641838
cites work: The numerical solution of sixth-order boundary value problems by the modified decomposition method
cites work: Homotopy perturbation method for solving sixth-order boundary value problems
cites work: Numerical approximation for the solution of linear sixth order boundary value problems by cubic B-spline
cites work: Solutions of tenth-order boundary value problems using eleventh degree spline
cites work: Solution of 10th-order boundary value problems using non-polynomial spline technique
DOI: 10.1007/S40819-021-01109-Z
description: scientific article; zbMATH DE number 7489945