A spectral collocation method for nonlinear fractional boundary value problems with a Caputo derivative

From MaRDI portal
Publication:1668716

DOI10.1007/s10915-017-0616-3zbMath1402.65172OpenAlexW2770593113MaRDI QIDQ1668716

Chuanli Wang, Zhong-qing Wang, Li-Lian Wang

Publication date: 29 August 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-017-0616-3




Related Items (25)

An hp-version spectral collocation method for multi-term nonlinear fractional initial value problems with variable-order fractional derivativesConvergence analysis of the \textit{hp}-version spectral collocation method for a class of nonlinear variable-order fractional differential equationsSpectral collocation method for nonlinear Caputo fractional differential systemAnalysis of a finite difference scheme for a nonlinear Caputo fractional differential equation on an adaptive gridExistence, uniqueness, Ulam-Hyers stability and numerical simulation of solutions for variable order fractional differential equations in fluid mechanicsConvergence analysis of Jacobi spectral collocation methods for weakly singular nonlocal diffusion equations with volume constraintsExponential convergence of \(hp\)-discontinuous Galerkin method for nonlinear Caputo fractional differential equationsConvergence analysis of space-time Jacobi spectral collocation method for solving time-fractional Schrödinger equationsAn accurate spectral collocation method for nonlinear systems of fractional differential equations and related integral equations with nonsmooth solutionsA priori error estimates of a Jacobi spectral method for nonlinear systems of fractional boundary value problems and related Volterra-Fredholm integral equations with smooth solutionsA fast time-stepping method based on the \(hp\)-version spectral collocation method for the nonlinear fractional delay differential equation\(H^1\)-analysis of H3N3-\(2_\sigma\)-based difference method for fractional hyperbolic equationsRecovery of high order accuracy in Jacobi spectral collocation methods for fractional terminal value problems with non-smooth solutionsA re-scaling spectral collocation method for the nonlinear fractional pantograph delay differential equations with non-smooth solutionsSpectral collocation methods for fractional multipantograph delay differential equationsAn \(hp\)-version Chebyshev collocation method for nonlinear fractional differential equationsJacobi spectral approximation for boundary value problems of nonlinear fractional pantograph differential equationsSingularity preserving spectral collocation method for nonlinear systems of fractional differential equations with the right-sided Caputo fractional derivativeExistence, uniqueness and numerical analysis of solutions of tempered fractional boundary value problemsAn \textit{hp}-version Legendre spectral collocation method for multi-order fractional differential equationsGalerkin finite element method for nonlinear fractional differential equationsA spectral collocation method for nonlinear fractional initial value problems with a variable-order fractional derivativeOn the rate of convergence of spectral collocation methods for nonlinear multi-order fractional initial value problemsA multi-domain Chebyshev collocation method for nonlinear fractional delay differential equationsA shooting like method based on the shifted Chebyshev polynomials for solving nonlinear fractional multi-point boundary value problem



Cites Work


This page was built for publication: A spectral collocation method for nonlinear fractional boundary value problems with a Caputo derivative