Discrete spline methods for solving two point fractional Bagley-Torvik equation

DOI10.1016/j.amc.2016.09.016zbMath1411.65098OpenAlexW2542189526MaRDI QIDQ1734743

Marnix van Daele, Waheed K. Zahra

Publication date: 27 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.09.016

zbMATH Keywords

error boundCaputo fractional derivativediscrete splinetwo point fractional Bagley-Torvik equationweighted and shifted Grünwald-Letnikov

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12) Fractional ordinary differential equations (34A08)

Related Items (17)

A fast multiscale Galerkin algorithm for solving boundary value problem of the fractional Bagley-Torvik equation ⋮ Discrete cubic spline technique for solving one-dimensional Bratu’s problem ⋮ Certain analysis of solution for the nonlinear two-point boundary value problem with Caputo fractional derivative ⋮ Solutions of fractional order electrical circuits via Laplace transform and nonstandard finite difference method ⋮ Approximate solutions for the fractional order quadratic Riccati and Bagley-Torvik differential equations ⋮ Application of Müntz orthogonal functions on the solution of the fractional Bagley-Torvik equation using collocation method with error stimate ⋮ An implicit hybrid method for solving fractional Bagley-Torvik boundary value problem ⋮ A higher order numerical scheme for solving fractional Bagley‐Torvik equation ⋮ Exponentially fitted methods for solving two-dimensional time fractional damped Klein-Gordon equation with nonlinear source term ⋮ Numerical solution of fraction Bagley-Torvik boundary value problem based on Chebyshev collocation method ⋮ An investigation of fractional Bagley-Torvik equation ⋮ Exponentially fitted methods for solving time fractional nonlinear reaction-diffusion equation ⋮ Discrete spline solution of singularly perturbed problem with two small parameters on a Shishkin-type mesh ⋮ An effective numerical method for solving nonlinear variable-order fractional functional boundary value problems through optimization technique ⋮ Numerical solution of a fractional-order bagley-torvik equation by quadratic finite element method ⋮ Least squares differential quadrature method for the generalized Bagley-Torvik fractional differential equation ⋮ Lucas wavelet scheme for fractional Bagley-Torvik equations: Gauss-Jacobi approach

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