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Tatiana Karaseva and Eugene Semenkin
Evolutionary approaches are widely applied in solving various types of problems. The paper considers the application of EvolODE and EvolODES approaches to the identification of dynamic systems. EvolODE helps to obtain a model in the form of an ordinary d...
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Songtao Huang, Jun Shen, Qingquan Lv, Qingguo Zhou and Binbin Yong
Electricity load forecasting has seen increasing importance recently, especially with the effectiveness of deep learning methods growing. Improving the accuracy of electricity load forecasting is vital for public resources management departments. Traditi...
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Fabio Carrara, Roberto Caldelli, Fabrizio Falchi and Giuseppe Amato
The adoption of deep learning-based solutions practically pervades all the diverse areas of our everyday life, showing improved performances with respect to other classical systems. Since many applications deal with sensible data and procedures, a strong...
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Noryanti Nasir,Mohd Ismail Abd Aziz,Amir Syafiq Amir Hamzah
The stability analysis of the logistic growth model is a norm in plantation and eco-biological environment. It can be ecologically stable and sustained in a long run. However, any additional variation to the model may fluctuate the economy over time. An ...
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Nikolaos Bakas
Function approximation is a fundamental process in a variety of problems in computational mechanics, structural engineering, as well as other domains that require the precise approximation of a phenomenon with an analytic function. This work demonstrates...
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Yunbo Zhang, Kun Huang and Wei Xu
A common strategy for studying the nonlinear vibrations of beams is to discretize the nonlinear partial differential equation into a nonlinear ordinary differential equation or equations through the Galerkin method. Then, the oscillations of beams are ex...
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Chao-Chung Peng and Yi-Ho Chen
Digital twins can reflect the dynamical behavior of the identified system, enabling self-diagnosis and prediction in the digital world to optimize the intelligent manufacturing process. One of the key benefits of digital twins is the ability to provide r...
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Indranil Ghosh, Muhammad Mahbubur Rashid, Shukranul Mawa, Rupal Roy, Md Manjurul Ahsan, Muhammad Ramiz Uddin, Kishor Datta Gupta and Pallabi Ghosh
The human immunodeficiency virus (HIV) mainly attacks CD4+ T cells in the host. Chronic HIV infection gradually depletes the CD4+ T cell pool, compromising the host?s immunological reaction to invasive infections and ultimately leading to acquired immuno...
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Sergey M. Afonin
A electroelastic engine with a longitudinal piezoeffect is widely used in nanotechnology for nanomanipulators, laser systems, nanopumps, and scanning microscopy. For these nanomechatronics systems, the transition between individual positions of the syste...
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Qianyang Li and Xingjun Zhang
For time series forecasting, multivariate grey models are excellent at handling incomplete or vague information. The GM(1, N) model represents this group of models and has been widely used in various fields. However, constructing a meaningful GM(1, N) mo...
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Efthimios Providas and Ioannis Nestorios Parasidis
The aim of this article is to present a procedure for the factorization and exact solution of boundary value problems for a class of n-th order linear Fredholm integro-differential equations with multipoint and integral boundary conditions. We use the th...
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V. V. Laguta
Pág. 95 - 99
The numerical method of the decision of the first boundery problem with the nonlinear ordinary differential equation of the second order is offered. The initial problem is reduced to the decision of the two integrated equations with use Green's function....
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V. V. Laguta
Pág. 105 - 108
The error of the decision of the first boundery problem for the ordinary differential equation of the second order with a nonlinear right part is defined. The second derivative of defined function is approximated by a linear spline.
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Shubin Wang, Yuanyuan Chen and Zhang Yi
Diabetic retinopathy is a prevalent eye disease that poses a potential risk of blindness. Nevertheless, due to the small size of diabetic retinopathy lesions and the high interclass similarity in terms of location, color, and shape among different lesion...
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Gerasim V. Krivovichev and Valentina Yu. Sergeeva
The paper is devoted to the theoretical and numerical analysis of the two-step method, constructed as a modification of Polyak?s heavy ball method with the inclusion of an additional momentum parameter. For the quadratic case, the convergence conditions ...
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Binghang Lu, Christian Moya and Guang Lin
This paper presents NSGA-PINN, a multi-objective optimization framework for the effective training of physics-informed neural networks (PINNs). The proposed framework uses the non-dominated sorting genetic algorithm (NSGA-II) to enable traditional stocha...
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Jin Wei, Wei Liu, Peixin Gao and Yujie Ding
In this paper, an analytical dynamic model is proposed for vibration suppression of a multi-span continuous bridge by tuned mass dampers (TMDs). Firstly, the partial differential equations (PDEs) that govern the motion of the multi-span continuous bridge...
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Miglena N. Koleva and Lubin G. Vulkov
The retrospective inverse problem for evolution equations is formulated as the reconstruction of unknown initial data by a given solution at the final time. We consider the inverse retrospective problem for a one-dimensional parabolic equation in two dis...
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Omar Khalil, Hany El-Sharkawy, Maha Youssef and Gerd Baumann
We propose a new method of adaptive piecewise approximation based on Sinc points for ordinary differential equations. The adaptive method is a piecewise collocation method which utilizes Poly-Sinc interpolation to reach a preset level of accuracy for the...
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Wenxiao Zhao
The stochastic approximation algorithm (SAA), starting from the pioneer work by Robbins and Monro in 1950s, has been successfully applied in systems and control, statistics, machine learning, and so forth. In this paper, we will review the development of...
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