Numerical blow-up of nonlinear parabolic integro-differential equations on unbounded domain
DOI10.1007/S10915-016-0179-8zbMath1352.65651OpenAlexW2186105077MaRDI QIDQ333231
Tao Tang, Jiwei Zhang, Hermann Brunner
Publication date: 28 October 2016
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-016-0179-8
numerical examplefinite differenceinitial boundary value problemfixed point methodfinite time blow-upnonlinear absorbing boundary conditionsunbounded spatial domainsadaptive time-steppingEuler schemesnonlinear parabolic integro-differential PDEunified approach
Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A linearized difference scheme for semilinear parabolic equations with nonlinear absorbing boundary conditions
- Numerical blow-up of semilinear parabolic PDEs on unbounded domains in \(\mathbb R^{2}\)
- The spectral methods for parabolic Volterra integro-differential equations
- Moving mesh method for problems with blow-up on unbounded domains
- An adaptive time step procedure for a parabolic problem with blow-up
- Totally discrete explicit and semi-implicit Euler methods for a blow-up problem in several space dimensions
- Blow-up of solutions of parabolic equations with nonlinear memory
- Blowing up of a finite difference solution to \(u_t=u_{xx}+u^2\)
- Numerical solution of problems on unbounded domains. A review
- Blowup in diffusion equations: A survey
- Numerical analyses of operator-splitting algorithms for the two-dimensional advection-diffusion equation
- Blow-up for semilinear parabolic equations with nonlinear memory
- Monotonicity of solutions and blow-up for semilinear parabolic equations with nonlinear memory
- Adaptive absorbing boundary conditions for Schrödinger-type equations: Application to nonlinear and multi-dimensional problems
- The numerical solution of parabolic Volterra integro-differential equations on unbounded spatial domains
- Artificial boundary conditions for parabolic Volterra integro-differential equations on unbounded two-dimensional domains
- Exact nonreflecting boundary conditions for one-dimensional cubic nonlinear Schrödinger equations
- Moving collocation method for a reaction-diffusion equation with a traveling heat source
- High-Order Local Absorbing Boundary Conditions for Heat Equation in Unbounded Domains
- Computational Solution of Blow-Up Problems for Semilinear Parabolic PDEs on Unbounded Domains
- Analysis for Time Discrete Approximations of Blow-up Solutions of Semilinear Parabolic Equations
- Uniform blow-up profile and boundary behaviour for a non-local reaction–diffusion equation with critical damping
- On the computation of blow-up
- Numerical Solution to the Sine-Gordon Equation Defined on the Whole Real Axis
- Finite element methods for parabolic and hyperbolic partial integro-differential equations
- Blow-up in Nonlocal Reaction-Diffusion Equations
- Artificial Boundary Method
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
- On the Construction and Comparison of Difference Schemes
This page was built for publication: Numerical blow-up of nonlinear parabolic integro-differential equations on unbounded domain
