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An optimal control framework for adaptive neural ODEs
In recent years, the notion of neural ODEs has connected deep learning with the field of ODEs and optimal control. In this setting, neural networks...
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Analysis of Natural Daftardar–Jafari Method for Fractional Delay Differential Equations
The decomposition methods such as Daftardar–Jafari method (DJM) have been applied previously to obtain a solution of the fractional differential...
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A Low-Rank Global Krylov Squared Smith Method for Solving Large-Scale Stein Matrix Equation
This paper deals with the numerical solution of the large-scale Stein and discrete-time Lyapunov matrix equations. Based on the global Arnoldi...
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Variable transformations in combination with wavelets and ANOVA for high-dimensional approximation
We use hyperbolic wavelet regression for the fast reconstruction of high-dimensional functions having only low-dimensional variable interactions....
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An unfitted finite element method with direct extension stabilization for time-harmonic Maxwell problems on smooth domains
We propose an unfitted finite element method for numerically solving the time-harmonic Maxwell equations on a smooth domain. The embedded boundary of...
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Computing Tensor Generalized Bilateral Inverses
We introduce tensor generalized bilateral inverses (TGBIs) under the Einstein tensor product as an extension of generalized bilateral inverses (GBIs)...
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Optimal Planning of the Microgrid Considering Optimal Sizing of the Energy Resources
This study addresses the necessity of energy storage systems in microgrids due to the uncertainties in power generation from photovoltaic (PV)...
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Impact of Couple Stresses on Slow Rotation of a Slip Sphere: Brinkman’s Medium
The impact of couple stresses on the rotation of solid sphere in Brinkman’s model with slip influence is analytically solved. The tangential slip and...
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Stable computation of analytical expressions for the gravity and magnetic field response of distant polyhedral targets
Though implemented through different evaluation strategies, the analytical formulation of the polyhedral gravity and magnetic field response involves...
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A sparse approximation for fractional Fourier transform
The paper promotes a new sparse approximation for fractional Fourier transform, which is based on adaptive Fourier decomposition in Hardy-Hilbert...
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On Multi-step Partially Randomized Extended Kaczmarz Method for Solving Large Sparse Inconsistent Linear Systems
To enhance the computational performance of the partially randomized extended Kaczmarz (PREK) method, we propose the multi-step PREK (MPREK) method....
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Existence Result and Exponential Stabilization of a Moving String with Time Dependent Delay in the Boundary Feedback
This paper aims to study the impact of a time-varying delay on the behavior of boundary stabilzed moving system. Our study is based on a Kirchhoff...
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Error analysis of a collocation method on graded meshes for a fractional Laplacian problem
The numerical solution of a 1D fractional Laplacian boundary value problem is studied. Although the fractional Laplacian is one of the most important...
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Lie Symmetry and Exact Solutions of Conformable Time Fractional Schamel–Korteweg–De Vries Equation
In this current study, a systematic investigation is carried to derive symmetry reductions of conformable time-fractional Schamel–KdV equation via...
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Multiparameter discrete Morse theory
The main objective of this paper is to extend Morse–Forman theory to vector-valued functions. This is mostly motivated by the need to develop new...
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Nonlocal Aspect of Piezoelectric Composite on Transmission of Mechanical Wave
This research article aims to conduct a more thorough examination of the effects of size on piezoelectric composites when subjected to Love-type...
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An adaptive certified space-time reduced basis method for nonsmooth parabolic partial differential equations
In this paper, a nonsmooth semilinear parabolic partial differential equation (PDE) is considered. For a reduced basis (RB) approach, a space-time...
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From samples to persistent stratified homotopy types
The natural occurrence of singular spaces in applications has led to recent investigations on performing topological data analysis (TDA) in a...
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Thermal and Flow Properties of Jeffrey Fluid Through Prabhakar Fractional Approach: Investigating Heat and Mass Transfer with Emphasis on Special Functions
The core purpose of this work is the investigation, formulation and develop a mathematical model by dint of a new fractional modeling approach namely...
