Solutions of linear second order initial value problems by using Bernoulli polynomials

DOI10.1016/j.apnum.2015.08.011zbMath1329.65146OpenAlexW1618394507MaRDI QIDQ891691

Anna Napoli

Publication date: 17 November 2015

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2015.08.011

zbMATH Keywords

initial value problemsspectral methodsBernoulli polynomials

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (8)

Eigenvalues and eigenfunctions of fourth-order Sturm-Liouville problems using Bernoulli series with Chebychev collocation points ⋮ A hybrid method based on the orthogonal Bernoulli polynomials and radial basis functions for variable order fractional reaction-advection-diffusion equation ⋮ Generalized Bernoulli polynomials: solving nonlinear 2D fractional optimal control problems ⋮ An efficient iterative method for multi-order nonlinear fractional differential equations based on the integrated Bernoulli polynomials ⋮ The Bernoulli polynomials reproducing kernel method for nonlinear Volterra integro-differential equations of fractional order with convergence analysis ⋮ A fast and efficient scheme for solving a class of nonlinear Lienard's equations ⋮ Bernoulli collocation method for solving linear multidimensional diffusion and wave equations with Dirichlet boundary conditions ⋮ Numerical solution of multi-pantograph delay boundary value problems via an efficient approach with the convergence analysis

Uses Software

• RODAS
• Chebfun

Cites Work

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