Numerical blow-up analysis of the explicit L1-scheme for fractional ordinary differential equations
type: Item
instance of: scholarly article
title: Numerical blow-up analysis of the explicit L1-scheme for fractional ordinary differential equations
zbMATH Open document ID: 1480.65173
author: Qi Wang
author: Chengchao Zhao
author: Z. W. Yang
published in: Numerical Algorithms
publication date: 2022-01-13T00:00:00Z
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 7456984
zbMATH Keywords: fractional ordinary differential equations
zbMATH Keywords: explicit L1-scheme
zbMATH Keywords: global existence
zbMATH Keywords: blowup analysis
MaRDI profile type: Publication
full work available at URL: s11075-021-01121-w
OpenAlex ID: W3158429801
cites work: A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
cites work: Invariant analysis of nonlinear fractional ordinary differential equations with Riemann-Liouville fractional derivative
cites work: On the existence of blow up solutions for a class of fractional differential equations
cites work: Existence of positive periodic solutions of some nonlinear fractional differential equations
cites work: On the convergence of numerical blow-up time for a second order nonlinear ordinary differential equation
cites work: Numerical detection of blow-up: a new sufficient condition for blow-up
cites work: Blowing-up solutions and global solutions to a fractional differential equation
cites work: Continuous and discrete one dimensional autonomous fractional ODEs
cites work: Q5505919
cites work: Applications of fractional calculus in physics
cites work: On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative
cites work: Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
cites work: Blowing-up solutions to systems of fractional differential and integral equations with exponential non-linearities
cites work: ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
cites work: Q5699297
cites work: On the nonexistence of blowing-up solutions to a fractional functional-differential equation
cites work: A 2nd-order one-point numerical integration scheme for fractional ordinary differential equations
cites work: Factorization results for left polynomials in some associative real algebras: state of the art, applications, and open questions
cites work: A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems
cites work: Unconditional convergence of a fast two-level linearized algorithm for semilinear subdiffusion equations
cites work: Q3141902
cites work: Q3067583
cites work: Blowing up of a finite difference solution to \(u_t=u_{xx}+u^2\)
cites work: Chaotic behaviour in system of noninteger-order ordinary differential equations
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Stability, instability, and blowup for time fractional and other nonlocal in time semilinear subdiffusion equations
cites work: Numerical blow-up analysis of linearly implicit Euler method for nonlinear parabolic integro-differential equations
cites work: Existence of positive solutions for a class of higher-order Caputo fractional differential equation
Wikidata QID: Q115381585
DOI: 10.1007/S11075-021-01121-W
description: scientific article; zbMATH DE number 7456984