Accelerated fitted operator finite difference method for singularly perturbed delay differential equations with non-local boundary condition

DOI10.1186/S42787-020-00076-6zbMath1440.65077OpenAlexW3029894129MaRDI QIDQ2184217

Gemechis File Duressa, Habtamu Garoma Debela

Publication date: 28 May 2020

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s42787-020-00076-6

zbMATH Keywords

delay differential equationsingularly perturbed problemsnon-local boundary conditionfitted finite difference

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (7)

Robust numerical method for singularly perturbed differential equations with large delay ⋮ Parameter-uniform numerical scheme for singularly perturbed delay parabolic reaction diffusion equations with integral boundary condition ⋮ A second order numerical method for singularly perturbed problem with non-local boundary condition ⋮ Robust numerical method for singularly perturbed differential equations having both large and small delay ⋮ Accelerated parameter-uniform numerical method for singularly perturbed parabolic convection-diffusion problems with a large negative shift and integral boundary condition ⋮ Unnamed Item ⋮ Numerical solution of singularly perturbed differential difference equations with mixed parameters

Cites Work

• Unnamed Item
• Unnamed Item
• Existence of solutions for integral boundary value problems of second-order ordinary differential equations
• A numerical treatment for singularly perturbed differential equations with integral boundary condition
• Positive solutions for a class of boundary-value problem with integral boundary conditions in Banach spaces
• Numerical method for a singularly perturbed convection-diffusion problem with delay
• Singular perturbation methods for ordinary differential equations
• Asymptotic analysis and solution of a finite-horizon \(H_{\infty}\) control problem for singularly-perturbed linear systems with small state delay
• A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells
• Fitted reproducing kernel method for singularly perturbed delay initial value problems
• Singularly perturbed delay differential equations of convection-diffusion type with integral boundary condition
• On discontinuous Galerkin finite element method for singularly perturbed delay differential equations
• Robust approximation of singularly perturbed delay differential equations by the \(hp\) finite element method
• Second-order boundary value problems with integral boundary conditions
• High-order numerical methods for one-dimensional parabolic singularly perturbed problems with regular layers
• Fitted Finite Difference Method for Third Order Singularly Perturbed Delay Differential Equations of Convection Diffusion Type

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