A strongly A-stable time integration method for solving the nonlinear reaction-diffusion equation
From MaRDI portal
Publication:2520506
DOI10.1155/2015/539652zbMath1352.65204OpenAlexW2005556360WikidataQ59101666 ScholiaQ59101666MaRDI QIDQ2520506
Publication date: 13 December 2016
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2015/539652
Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for ordinary differential equations (65L20)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- D-stability and Kaps-Rentrop-methods
- Singly-implicit Runge-Kutta methods for retarded and ordinary differential equations
- Stability and B-convergence of linearly implicit Runge-Kutta methods
- Linearization methods for reaction-diffusion equations: Multidimensional problems
- Generalized Runge-Kutta methods of order four with stepsize control for stiff ordinary differential equations
- Highly accurate compact implicit methods and boundary conditions
- On an L-stable method for stiff differential equations
- A three-point combined compact difference scheme
- Implicit, compact, linearized \(\theta\)-methods with factorization for multidimensional reaction-diffusion equations
- Exponential Rosenbrock methods of order five -- construction, analysis and numerical comparisons
- Explicit exponential Runge-Kutta methods of high order for parabolic problems
- Singly diagonally implicit runge-kutta method for time-dependent reaction-diffusion equation
- Some general implicit processes for the numerical solution of differential equations
- An implementation of singly-implicit Runge-Kutta methods
- Implementation of Rosenbrock Methods
- Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
- A Second-Order Rosenbrock Method Applied to Photochemical Dispersion Problems
- Linearly implicit time discretization of non-linear parabolic equations
- Solving Ordinary Differential Equations II
- Fourth-Order Time-Stepping for Stiff PDEs
- Implicit integration processes with error estimate for the numerical solution of differential equations
- Efficient Integration Methods for Stiff Systems of Ordinary Differential Equations
- A Note on Trapezoidal Methods for the Solution of Initial Value Problems
- A special stability problem for linear multistep methods
- ROS3P -- An accurate third-order Rosenbrock solver designed for parabolic problems
This page was built for publication: A strongly A-stable time integration method for solving the nonlinear reaction-diffusion equation
