A second order numerical method for singularly perturbed problem with non-local boundary condition
DOI10.1007/s12190-021-01506-zzbMath1487.65093OpenAlexW3132699858MaRDI QIDQ2143879
Musa Çakır, Gabil M. Amiraliyev
Publication date: 31 May 2022
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-021-01506-z
singular perturbationnonlocal conditionsecond-order accuracyexponentially fitted difference schemeuniformly convergence
Stability and convergence of numerical methods for ordinary differential equations (65L20) Singular perturbations of ordinary differential equations (34D15) Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)
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Cites Work
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- Uniform second-order difference method for a singularly perturbed three-point boundary value problem
- A brief survey on numerical methods for solving singularly perturbed problems
- A finite difference method for the singularly perturbed problem with nonlocal boundary condition
- The difference schemes for solving singularly perturbed three-point boundary value problem
- High order parameter-robust numerical method for singularly perturbed reaction-diffusion problems
- Asymptotic solutions of singularly perturbed second-order differential equations and application to multi-point boundary value problems
- Singular perturbation methods for ordinary differential equations
- Layer-adapted meshes for convection-diffusion problems
- Numerical treatment of nonlocal boundary value problem with layer behaviour
- Existence of solutions of differential equations with nonlinear multipoint boundary conditions
- Existence of solutions to nonlinear differential equations with nonlocal conditions
- Numerical solution of the singularly perturbed problem with nonlocal boundary condition
- Multiple scale and singular perturbation methods
- High order methods on Shishkin meshes for singular perturbation problems of convection-diffusion type
- Accelerated exponentially fitted operator method for singularly perturbed problems with integral boundary condition
- Accelerated fitted operator finite difference method for singularly perturbed delay differential equations with non-local boundary condition
- Uniformly convergent hybrid schemes for solutions and derivatives in quasilinear singularly perturbed BVPs
- An adaptive mesh strategy for singularly perturbed convection diffusion problems
- Parameter-uniform hybrid difference scheme for solutions and derivatives in singularly perturbed initial value problems
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- A NUMERICAL STUDY ON THE DIFFERENCE SOLUTION OF SINGULARLY PERTURBED SEMILINEAR PROBLEM WITH INTEGRAL BOUNDARY CONDITION
- A NEW SECOND-ORDER DIFFERENCE APPROXIMATION FOR NONLOCAL BOUNDARY VALUE PROBLEM WITH BOUNDARY LAYERS
- A recent survey on computational techniques for solving singularly perturbed boundary value problems
- A second-order finite difference scheme for a class of singularly perturbed delay differential equations
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