A BDF2 method for a singularly perturbed transport equation
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Publication:6581415
DOI10.1080/00207160.2024.2351132MaRDI QIDQ6581415
Publication date: 30 July 2024
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Cites Work
- Difference scheme for an initial-boundary value problem for a singularly perturbed transport equation
- A difference scheme of the decomposition method for an initial boundary value problem for the singularly perturbed transport equation
- On the discrete analogues of some generalizations of Gronwall's inequality
- A novel parameter-uniform numerical method for a singularly perturbed Volterra integro-differential equation
- Fitted numerical methods for singular perturbation problems. Error estimates in the maximum norm for linear problems in one and two dimensions.
- An adaptive BDF2 implicit time-stepping method for the phase field crystal model
- Development and Numerical Study of Robust Difference Schemes for a Singularly Perturbed Transport Equation
- Analysis of adaptive BDF2 scheme for diffusion equations
- Parameter‐uniform numerical methods for singularly perturbed linear transport problems
- Balanced and energy norm error bounds for a spatial FEM with Crank-Nicolson and BDF2 time discretisation applied to a singularly perturbed reaction-diffusion problem
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