Parameter-uniform numerical treatment of singularly perturbed initial-boundary value problems with large delay

D Kumar, P Kumari - Applied Numerical Mathematics, 2020 - Elsevier
In this article, a parameter-uniform implicit scheme is constructed for a class of parabolic
singularly perturbed reaction-diffusion initial-boundary value problems with large delay in …

[HTML][HTML] Modified reproducing kernel method for singularly perturbed boundary value problems with a delay

FZ Geng, SP Qian - Applied Mathematical Modelling, 2015 - Elsevier
This paper is devoted to the numerical treatment of a class of singularly perturbed delay
boundary value problems with a left layer. The method is proposed based on the …

Parameter-robust numerical scheme for time-dependent singularly perturbed reaction–diffusion problem with large delay

K Bansal, KK Sharma - Numerical Functional Analysis and …, 2018 - Taylor & Francis
This work presents the development of numerical scheme for second-order time-dependent
singularly perturbed reaction-diffusion problem with large delay in the undifferentiated term …

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

HG Debela, GF Duressa - Journal of the Egyptian Mathematical Society, 2020 - Springer
In this paper, accelerated fitted finite difference method for solving singularly perturbed delay
differential equation with non-local boundary condition is considered. To treat the non-local …

A uniform numerical method for solving singularly perturbed Fredholm integro-differential problem

E Cimen, M Cakir - Computational and Applied Mathematics, 2021 - Springer
In this paper, we deal with a class of boundary-value problems for the singularly perturbed
Fredholm integro-differential equation. To solve the problem, we construct a new difference …

An initial value technique for singularly perturbed convection–diffusion problems with a negative shift

V Subburayan, N Ramanujam - Journal of Optimization Theory and …, 2013 - Springer
In this paper, a numerical method named as Initial Value Technique (IVT) is suggested to
solve the singularly perturbed boundary value problem for the second order ordinary …

Solution of singularly perturbed differential difference equations and convection delayed dominated diffusion equations using Haar wavelet

A Raza, A Khan, P Sharma, K Ahmad - Mathematical Sciences, 2021 - Springer
In this paper, we apply Haar wavelet collocation method to solve the linear and nonlinear
second-order singularly perturbed differential difference equations and singularly perturbed …

[PDF][PDF] Exponentially fitted finite difference method for singularly perturbed delay differential equations with integral boundary condition

HG Debela, GF Duressa - International Journal of Engineering and …, 2019 - dergipark.org.tr
In this paper, exponentially fitted finite difference method for solving singularly perturbed
delay differential equation with integral boundary condition is considered. To treat the …

[HTML][HTML] Asymptotic initial value technique for singularly perturbed convection–diffusion delay problems with boundary and weak interior layers

V Subburayan, N Ramanujam - Applied Mathematics Letters, 2012 - Elsevier
In this paper a numerical method named as Asymptotic Initial Value Technique (AIVT) is
suggested to solve the singularly perturbed boundary value problem for the second order …

Reproducing kernel Hilbert space method for nonlinear second order singularly perturbed boundary value problems with time-delay

SB Chen, S Soradi-Zeid, H Dutta, M Mesrizadeh… - Chaos, Solitons & …, 2021 - Elsevier
The present paper aims to carry out a new scheme for solving a type of singularly perturbed
boundary value problem with a second order delay differential equation. Getting through the …