[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 …

Uniformly convergent computational method for singularly perturbed time delayed parabolic differential-difference equations

J Mohapatra, S Priyadarshana… - Engineering …, 2023 - emerald.com
Purpose The purpose of this work is to introduce an efficient, global second-order accurate
and parameter-uniform numerical approximation for singularly perturbed parabolic …

ε-Uniformly convergent numerical scheme for singularly perturbed delay parabolic partial differential equations

S Gowrisankar, S Natesan - International Journal of Computer …, 2017 - Taylor & Francis
This paper studies the numerical solutions of singularly perturbed parabolic convection–
diffusion problems with a delay in time. We divide the domain using a piecewise uniform …

Numerical integration method for singularly perturbed delay differential equations

YN Reddy, G Soujanya, K Phaneendra - International Journal of …, 2012 - gigvvy.com
In this paper, we present a numerical integration method to solve singularly perturbed delay
differential equations. In this method, we first convert the second order singularly perturbed …

[HTML][HTML] Computational method for singularly perturbed delay differential equations with twin layers or oscillatory behaviour

DK Swamy, K Phaneendra, AB Babu… - Ain Shams Engineering …, 2015 - Elsevier
In this paper, we have presented a computational method for solving singularly perturbed
delay differential equations with twin layers or oscillatory behaviour. In this method, the …

Geometric modeling of subcellular structures, organelles, and multiprotein complexes

X Feng, K Xia, Y Tong, GW Wei - International Journal for …, 2012 - Wiley Online Library
Recently, the structure, function, stability, and dynamics of subcellular structures, organelles,
and multiprotein complexes have emerged as a leading interest in structural biology …

[HTML][HTML] An exponentially fitted finite difference scheme for a class of singularly perturbed delay differential equations with large delays

PP Chakravarthy, SD Kumar, RN Rao - Ain Shams Engineering Journal, 2017 - Elsevier
This paper deals with singularly perturbed boundary value problem for a linear second order
delay differential equation. It is known that the classical numerical methods are not …

[HTML][HTML] A finite difference method for singularly perturbed differential-difference equations with layer and oscillatory behavior

RN Rao, PP Chakravarthy - Applied Mathematical Modelling, 2013 - Elsevier
In this paper, we present a finite difference method for singularly perturbed linear second
order differential-difference equations of convection–diffusion type with a small shift, ie …

[PDF][PDF] A parameter uniform numerical scheme for singularly perturbed differential-difference equations with mixed shifts

P Mushahary, SR Sahu, J Mohapatra - Journal of Applied and …, 2020 - jacm.scu.ac.ir
In this paper, we consider a second-order singularly perturbed differential-difference
equations with mixed delay and advance parameters. At first, we approximate the model …

An efficient numerical method for singularly perturbed two point boundary value problems exhibiting boundary layers

N Raji Reddy, J Mohapatra - National Academy Science Letters, 2015 - Springer
In this paper an exponentially fitted finite difference method is presented for solving
singularly perturbed two-point boundary value problems with the boundary layers. A fitting …