[HTML][HTML] Analysis of perturbation factors and fractional order derivatives for the novel singular model using the fractional Meyer wavelet neural networks

Z Sabir, MR Ali - Chaos, Solitons & Fractals: X, 2023 - Elsevier
In this study, an analysis of the perturbation factors and fractional order derivatives is
performed for the novel singular model. The design of the perturbed fractional order singular …

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 …

A neuro swarm procedure to solve the novel second order perturbed delay Lane-Emden model arising in astrophysics

Z Sabir, SB Said, Q Al-Mdallal, MR Ali - Scientific reports, 2022 - nature.com
The current work provides a mathematical second order perturbed singular delay differential
model (SO-PSDDM) by using the standard form of the Lane-Emden model. The inclusive …

A finite difference method on layer-adapted mesh for singularly perturbed delay differential equations

F Erdogan, MG Sakar, O Saldır - Applied Mathematics and Nonlinear …, 2020 - sciendo.com
The purpose of this paper is to present a uniform finite difference method for numerical
solution of a initial value problem for semilinear second order singularly perturbed delay …

[HTML][HTML] Heuristic computing for the novel singular third order perturbed delay differential model arising in thermal explosion theory

Z Sabir, SB Said - Arabian Journal of Chemistry, 2023 - Elsevier
In this study, a novel singular third order perturbed delay differential model (STO-PDDM) is
designed with its two types using the traditional Lane-Emden model. The descriptions of …

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 …

[HTML][HTML] A novel heuristic Morlet wavelet neural network procedure to solve the delay differential perturbed singular model

SA Bhat, Z Sabir, MAZ Raja, T Saeed… - Knowledge-Based …, 2024 - Elsevier
This study designs the Morlet wavelet neural network (MWNN) for the numerical
performance of the second-order delay differential perturbed singular model (DD-PSM) …

Stability inequalities and numerical solution for neutral Volterra delay integro-differential equation

I Amirali, H Acar - Journal of Computational and Applied Mathematics, 2024 - Elsevier
The aim of the present paper is to introduce a new numerical method for solving Volterra
integro-differential equation involving delay and neutral types. Using the numerical …

Swarming procedures to solve the novel perturbed delay third order singular model

Z Sabir, SB Said, W Al-Kouz - Physica Scripta, 2023 - iopscience.iop.org
The current study shows a novel singular perturbed delay third order model (NSPD-TOM)
with its two categories using the conventional Lane-Emden mathematical model. The …