Exponential fitted operator method for singularly perturbed convection-diffusion type problems with nonlocal boundary condition

DOI10.1155/2021/5559486zbMath1482.65118OpenAlexW3147985878WikidataQ115521559 ScholiaQ115521559MaRDI QIDQ2664859

Habtamu Garoma Debela

Publication date: 18 November 2021

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/5559486

zbMATH Keywords

nonlocal boundary conditionsingularly perturbed differential equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (2)

ROBUST NUMERICAL METHOD FOR SINGULARLY PERTURBED CONVECTION-DIFFUSION TYPE PROBLEMS WITH NON-LOCAL BOUNDARY CONDITION ⋮ A non-uniform Haar wavelet method for a singularly perturbed convection-diffusion type problem with integral boundary condition on an exponentially graded mesh

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
• A second-order difference scheme for a parameterized singular perturbation 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
• 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 recent survey on computational techniques for solving singularly perturbed boundary value problems

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