A higher order accurate numerical method for singularly perturbed two point boundary value problems
DOI10.1007/s12591-016-0279-9zbMath1371.65068OpenAlexW2282676781MaRDI QIDQ2398283
Publication date: 15 August 2017
Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12591-016-0279-9
singular perturbationnumerical exampleserror estimateRunge-Kutta methoddifferential equations with delay as well as advancetwo point boundary value problemreduced problemasymptotic-numerical method
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Singular perturbations of functional-differential equations (34K26) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11) Numerical methods for functional-differential equations (65L03)
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Cites Work
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- A finite difference method for singularly perturbed differential-difference equations with layer and oscillatory behavior
- An efficient mixed asymptotic-numerical scheme for singularly perturbed convection diffusion problems
- B-splines with artificial viscosity for solving singularly perturbed boundary value problems
- Numerical treatment of singularly perturbed two point boundary value problems exhibiting boundary layers
- A non-linear single step explicit scheme for non-linear two-point singularly perturbed boundary value problems via initial value technique
- Layer-adapted meshes for reaction-convection-diffusion problems
- Non-linear one-step methods for initial value problems
- ``Shooting method for the solution of singularly perturbed two-point boundary-value problems having less severe boundary layer.
- An initial-value approach for solving singularly perturbed two-point boundary value problems
- A novel method for a class of nonlinear singular perturbation problems
- A modified Bakhvalov mesh
- An exponentially fitted special second-order finite difference method for solving singular perturbation problems
- Maximum norm a posteriori error estimates for a singularly perturbed differential difference equation with small delay
- A numerical method based on finite difference for boundary value problems for singularly perturbed delay differential equations
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- Numerical Methods for Ordinary Differential Equations
