An efficient operational matrix method for the numerical solutions of the fractional Bagley-Torvik equation using wavelets

DOI10.1007/s10910-019-01047-8zbMath1433.65143OpenAlexW2955248372WikidataQ127578294 ScholiaQ127578294MaRDI QIDQ2322245

Yanyan Li

Publication date: 4 September 2019

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-019-01047-8

zbMATH Keywords

numerical methodfractional orderoperational matrixBernoulli waveletBagley-Torvik equationsfractional integral and derivative operator

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (8)

A fast multiscale Galerkin algorithm for solving boundary value problem of the fractional Bagley-Torvik equation ⋮ Highly accurate method for boundary value problems with Robin boundary conditions ⋮ Highly accurate method for a singularly perturbed coupled system of convection-diffusion equations with Robin boundary conditions ⋮ An efficient wavelet‐based approximation method for solving nonlinear fractional‐time long wave equations: An operational matrix approach ⋮ Unnamed Item ⋮ Numerical solution of the Bagley-Torvik equation using Laguerre polynomials ⋮ Numerical solution of Bagley-Torvik, nonlinear and higher order fractional differential equations using Haar wavelet ⋮ Lucas wavelet scheme for fractional Bagley-Torvik equations: Gauss-Jacobi approach

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