Integrated stochastic investigation of singularly perturbed delay differential equations for the neuronal variability model

I Ahmad, SI Hussain, H Ilyas, L Zoubir… - … Journal of Intelligent …, 2023 - Wiley Online Library
The proposed research utilizes a computational approach to attain a numerical solution for
the singularly perturbed delay differential equation (SPDDE) problem arising in the neuronal …

Integrated neuro‐evolution heuristic with sequential quadratic programming for second‐order prediction differential models

Z Sabir, MAZ Raja, HA Wahab… - … Methods for Partial …, 2024 - Wiley Online Library
The current study presents a novel application of integrated intelligent computing solver for
numerical treatment of second‐order prediction differential models by exploiting the …

[HTML][HTML] Morlet wavelet neural network investigations to present the numerical investigations of the prediction differential model

Z Sabir, A Arbi, AF Hashem, MA Abdelkawy - Mathematics, 2023 - mdpi.com
In this study, a design of Morlet wavelet neural networks (MWNNs) is presented to solve the
prediction differential model (PDM) by applying the global approximation capability of a …

[PDF][PDF] Computational techniques for singularly perturbed reaction-diffusion delay differential equations: a second-order approach

D Joy, D Kumar - J. Math. Comput. Sci, 2024 - researchgate.net
For the analysis of singularly perturbed delay differential equations exhibiting layer or
oscillatory behaviour and a slight negative shift in the reaction term, this study introduces a …

Numerical treatment of singularly perturbed delay reaction-diffusion equations

GG Kiltu, GF Duressa, TA Bullo - International Journal of Engineering …, 2020 - ajol.info
This paper presents a uniform convergent numerical method for solving singularly perturbed
delay reaction-diffusion equations. The stability and convergence analysis are investigated …

A novel fitted method for a class of singularly perturbed differential-difference equations with small delay exhibiting twin layer or oscillatory behaviour

MJ Alam, HS Prasad, R Ranjan - Computational Mathematics and …, 2023 - Springer
A new exponentially fitted three term method is developed for the numerical treatment of a
class of linear second order singularly perturbed differential-difference equations (SPDDEs) …

[PDF][PDF] DQM based on the modified form of CTB shape functions for coupled Burgers' equation in 2D and 3D

M Tamsir, N Dhiman - Int. J. Math. Eng. Manag. Sci, 2019 - academia.edu
This work concerns for solving of coupled Burgers' equations (CBEs) in 2D and 3D via DQM
based on cubic trigonometric B-spline (CTB) shape functions. In the method, the shape …

[PDF][PDF] Quartic B-Spline Method for Non-Linear Second Order Singularly Perturbed Delay Differential Equations

S Malge, RK Lodhi - International Journal of Mathematical …, 2024 - researchgate.net
This paper introduces a novel computational approach utilizing the quartic B-spline method
on a uniform mesh for the numerical solution of non-linear singularly perturbed delay …

A second-order numerical method for pseudo-parabolic equations having both layer behavior and delay parameter

B Güneş, H Duru - … Faculty of Sciences University of Ankara Series …, 2024 - dergipark.org.tr
In this paper, singularly perturbed pseudo-parabolic initial-boundary value problems with
time-delay parameter are considered by numerically. Initially, the asymptotic properties of …

[PDF][PDF] A mathematical model to solve the nonlinear Burger's equation by homotopy perturbation method

R Singh, DK Maurya, YK Rajoria - Math. Eng. Sci. Aerosp, 2020 - researchgate.net
The approximate and exact solutions of non-linear Burger's equation by a homotopy
perturbation method (HPM) are introduced in this paper. The HPM yield solution is …