Results 51 to 60 of about 1,207 (185)

Solving singularly perturbed differential equations in intuitionistic fuzzy environment

Ain Shams Engineering Journal
In this paper, we introduce and study singularly perturbed intuitionistic fuzzy initial value and boundary value problems. We develop a method based on the intuitionistic fuzzy version of Zadeh's extension principle to compute (α,β)-cuts for solutions to
Selami Bayeğ
doaj   +1 more source

Numerical Treatment of Singularly Perturbed Two-Point Boundary Value Problems by Using Differential Transformation Method

Discrete Dynamics in Nature and Society, 2012
Differential transform method is adopted, for the first time, for solving linear singularly perturbed two-point boundary value problems. Four numerical examples are given to demonstrate the effectiveness of the present method.
Nurettin Doğan, Vedat Suat Ertürk, Ömer Akın   +2 more
doaj   +1 more source

$N$-widths for singularly perturbed problems [PDF]

Mathematica Bohemica, 2002
Summary: Kolmogorov \(N\)-widths are an approximation theory concept that, for a given problem, yields information about the optimal rate of convergence attainable by any numerical method applied to that problem. We survey sharp bounds recently obtained for the \(N\)-widths of certain singularly perturbed convection-diffusion and reaction-diffusion ...
Stynes, Martin, Bruce Kellogg, R.
openaire   +1 more source

A Midpoint Upwind Numerical Scheme for Singularly Perturbed Differential Difference Equations

Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.
In this work, we consider a class of singularly perturbed differential‐difference equations with small shift parameters in the convection and reaction terms, which frequently arise in applied mathematics and engineering. The presence of a small diffusion parameter ε, (0 < ε ≪ 1) causes the solution of the considered problem to exhibit steep gradients ...
Amare Worku Demsie, Awoke Andargie Tiruneh, Endalew Getnet Tsega, Jaume Giné   +3 more
wiley   +1 more source

Asymptotic and Pseudoholomorphic Solutions of Singularly Perturbed Differential and Integral Equations in the Lomov’s Regularization Method

Axioms, 2019
We consider a singularly perturbed integral equation with weakly and rapidly varying kernels. The work is a continuation of the studies carried out previously, but these were focused solely on rapidly changing kernels.
Abduhafiz Bobodzhanov, Valeriy Safonov, Vasiliy Kachalov   +2 more
doaj   +1 more source

Optimal Placement of Solar PV Using Time‐Series Load Flow Analysis and Diurnal Load Factor in High‐Voltage Distribution Network

International Transactions on Electrical Energy Systems, Volume 2026, Issue 1, 2026.
In the midst of rapid growth in the power sector, there is a pressing need to address increasing load demands and the introduction of additional electrical vehicle‐related loads. Renewable energy resources, particularly solar photovoltaics (PVs), emerge as crucial allies in meeting the rising electricity requirements. However, integrating solar PV into
Muthuveerappan S., Dhayalini K., Jagabar Sathik M., Youcef Belkhier   +3 more
wiley   +1 more source

Hybrid Fitted Numerical Scheme for Singularly Perturbed Spatiotemporal Delay Differential Equations

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
In this study, a hybrid scheme is presented to solve a singularly perturbed time‐delay differential equation with a delay and advance term in the spatial variable. The scheme combines the midpoint upwind scheme and the cubic spline difference scheme in the outer and inner layer regions, respectively, on a nonuniform mesh for the spatial discretization,
Mulunesh Amsalu Ayele, Dagnachew Mengstie Tefera, Patricia J. Y. Wong   +2 more
wiley   +1 more source

Cuckoo Search Optimized Fractional Physics‐Informed Neural Networks for Fourth‐Order Time‐Fractional Partial Differential Equations

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Time‐fractional fourth‐order partial differential equations (PDEs) are typically important in the modeling of complex physical systems that have long‐memory effects and high‐order transverse spatial interaction. The paper presents a new hybrid method, called the Cuckoo Search–optimized fractional physics‐informed neural network (fPINN‐CS), that, to the
Ali Alkhathlan, Faris Kateb, Tauqeer Ahmad, Muhammad Sulaiman, Mohammed Abdullah Salman, Smritijit Sen   +5 more
wiley   +1 more source

Acute Exposure to Groundwater Contaminants Mixture of Nitrate, Atrazine, and Imidacloprid Impacts Growth Kinetics of Poultry Cecal Microbiomes and Significantly Decreases Caco‐2 Cell Viability

Journal of Toxicology, Volume 2026, Issue 1, 2026.
Atmospheric deposition and agricultural runoff or erosion events have substantially contributed to groundwater pollution throughout the USA. This can become troublesome in states like Wisconsin, where 68% of the population relies on groundwater for their drinking water source.
Chamia C. Chatman, Erica L.-W. Majumder, Anurag Sharma   +2 more
wiley   +1 more source

Non-Polynomial Spline for Singularly Perturbed Differential-Difference Equation with Mixed Shifts and Layer Behavior [PDF]

International Journal of Mathematical, Engineering and Management Sciences
Various physical phenomena give rise to singularly perturbed differential equations with mixed shifts. Due to multiple parameters, singularly perturbed mixed delay boundary value problems are challenging to solve.
Shilpa Malge , Ram Kishun Lodhi
doaj   +1 more source