Results 21 to 30 of about 594 (186)
Deep learning-based schemes for singularly perturbed convection-diffusion problems* [PDF]
ESAIM: Proceedings and Surveys, 2023 Deep learning-based numerical schemes such as Physically Informed Neural Networks (PINNs) have recently emerged as an alternative to classical numerical schemes for solving Partial Differential Equations (PDEs).
Beguinet Adrien +5 more
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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 +2 more
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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 +2 more
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Septic B-spline method for second order self-adjoint singularly perturbed boundary-value problems
Ain Shams Engineering Journal, 2018 In the present paper, we develop a septic B-spline method for solving a self-adjoint singularly perturbed two-point boundary value problem. This method is applied directly to the numerical solution of the problems without reducing its order.
Ram Kishun Lodhi, Hradyesh Kumar Mishra
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Neural Network-Based Adaptive Tracking Control for a Class of Nonlinear Singularly Perturbed Systems
IEEE Access, 2019 In this paper, the neural network-based adaptive tracking control method is addressed for a class of multi-input affine unknown nonlinear singularly perturbed systems.
Hao Wang, Chunyu Yang, Song Zhu
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Robust numerical method for singularly perturbed differential equations with large delay
Demonstratio Mathematica, 2021 In this paper, a singularly perturbed differential equation with a large delay is considered. The considered problem contains a large delay parameter on the reaction term. The solution of the problem exhibits the interior layer due to the delay parameter
Abdulla Murad Ibrahim +2 more
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Solving singularly perturbed differential equations in intuitionistic fuzzy environment
Ain Shams Engineering JournalIn 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
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Axiomatic Approach in the Analytic Theory of Singular Perturbations
Axioms, 2020 Introduced by S.A. Lomov, the concept of a pseudoanalytic (pseudoholomorphic) solution laid the foundation for the development of the singular perturbation analytical theory.
Margarita Besova, Vasiliy Kachalov
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A singularly perturbed Cauchy problem
Journal of Mathematical Analysis and Applications, 1979 Singular perturbations are considered for the initial value problem for second order hyperbolic equations with a small positive parameter multiplying the second order time derivative term. Thus, in contrast to recent work of de Jager and Geel, the reduced equation is of the same order as the original equation but of a different type.
Hsiao, George C., Weinacht, Richard J.
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ChemElectroChem, Volume 13, Issue 19, 1 October 2026.A comprehensive review bridging laboratory innovation with industrial‐scale PEM electrolyzer challenges, focusing on component degradation mechanisms and their direct impact on the levelized cost of hydrogen. This work highlights the critical need for scalable, durable designs and standardized testing to accelerate the green hydrogen economy.
Yuanye Huang +3 more
wiley +1 more source