scientific article; zbMATH DE number 7316325

zbMath1455.33004MaRDI QIDQ4965345

M. R. Eslahchi, A. Abedzadeh

Publication date: 1 March 2021

Full work available at URL: http://ijmsi.ir/article-1-916-en.html

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

collocation methodGalerkin methodorthogonal polynomialsordinary differential equationsspectral methodRayleigh-Ritz methodSturm-Liouville theorynon-classical Sturm-Liouville problems

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Discrete direct methods in the fractional calculus of variations
• Solution of Lane-Emden type equations using Legendre operational matrix of differentiation
• The sinc-collocation method for solving the Thomas-Fermi equation
• Series solution to the Thomas-Fermi equation
• Fractional Sturm-Liouville boundary value problems in unbounded domains: theory and applications
• Laguerre functions on symmetric cones and recursion relations in the real case
• Mixed spectral method for three-dimensional exterior problems using spherical harmonic and generalized Laguerre functions
• A generalized-Laguerre-Hermite pseudospectral method for computing symmetric and central vortex states in Bose-Einstein condensates
• A problem of numerical inversion of implicitly defined Laplace transforms
• Fractional variational integrators for fractional Euler-Lagrange equations with holonomic constraints
• Rational Chebyshev series for the Thomas-Fermi function: endpoint singularities and spectral methods
• On the coefficients of integrated expansions and integrals of Chebyshev polynomials of third and fourth kinds
• Laguerre pseudospectral approximation to the Thomas-Fermi equation
• An extended class of orthogonal polynomials defined by a Sturm-Liouville problem
• Functionally-fitted block methods for ordinary differential equations
• Spectral Methods
• Spectral collocation methods for the primary two-point boundary value problem in modelling viscoelastic flows
• Applying Legendre Wavelet Method with Regularization for a Class of Singular Boundary Value Problems
• Infinitely many shape-invariant potentials and cubic identities of the Laguerre and Jacobi polynomials
• Continuous vs. discrete models for the quantum harmonic oscillator and the hydrogen atom
• A functional fitting Runge-Kutta method with variable coefficients
• Stochastic differential equations. An introduction with applications.

This page was built for publication: