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INTEGRAL TRANSFORMATION FOR THE THIRD BOUNDARY-VALUE PROBLEM OF NON-STATIONARY HEAT CONDUCTIVITY WITH A CONTINUOUS SPECTRUM OF EIGENVALUES
Published 2017-06-01“…The mathematical theory of constructing an integral transformation and the inversion formula for it for the third boundary value problem in a domain with a continuous spectrum of eigenvalues are developed. …”
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Numerical Solution of the Direct and Inverse Problems in the Gas Lift Process of Oil Production Using the Conjugate Equations Method
Published 2025-03-01“…The latter involves constructing a conjugate problem based on the Lagrange identity and the duality principle. …”
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Uniform Hybrid Difference Scheme for Singularly Perturbed Differential-Difference Turning Point Problems Exhibiting Boundary Layers
Published 2020-01-01“…Then a hybrid finite difference scheme on an appropriate piecewise-uniform Shishkin mesh is constructed to discretize the modified problem. Further, we proved that the method is almost second-order ɛ-uniformly convergent in the maximum norm. …”
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A numerical approach to fractional Volterra–Fredholm integro-differential problems using shifted Chebyshev spectral collocation
Published 2025-08-01“…Abstract This study presents an innovative numerical framework for addressing initial value problems (IVPs) in linear fractional Volterra–Fredholm integro-differential equations (FVFIDEs). …”
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Solving a Fully Intuitionistic Fuzzy Transportation Problem Using a Hybrid Multi-Objective Optimization Approach
Published 2024-12-01“…The proposed approach first constructs an equivalent crisp multi-objective form of the intuitionistic fuzzy transportation problem and then proposes a new hybrid multi-objective solution procedure to tackle the obtained crisp multi-objective problem. …”
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1766
Monotone-Iterative Method for Solving Antiperiodic Nonlinear Boundary Value Problems for Generalized Delay Difference Equations with Maxima
Published 2013-01-01“…In this paper, an approximate method, namely, the monotone iterative technique, is applied to solve the problem. An important feature of the given algorithm is that each successive approximation of the unknown solution is equal to the unique solution of an appropriately constructed initial value problem for a linear difference equation with “maxima,” and an algorithm for its explicit solving is given. …”
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Analytical solution of problem of shielding low-frequency magnetic field by thin-walled cylindrical screen in presence of cylinder
Published 2021-09-01“…The analytical solution of boundary value problem describing the process of penetration of low-frequency magnetic field through thin-walled cylindrical screen with cylindrical inclusion is constructed by use of approximate boundary conditions. …”
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1768
Green's functions of the fractional Laplacian on a square: Boundary considerations and applications to the Lévy flight narrow capture problem
Published 2025-07-01“…Our approach involves analytically constructing the singular behavior of the Green's function in a neighborhood around the location of the singularity, and then formulating a “smooth” problem for the remainder term. …”
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Boosting Barlow Twins Reduced Order Modeling for Machine Learning‐Based Surrogate Models in Multiphase Flow Problems
Published 2024-10-01“…Abstract We present an innovative approach called boosting Barlow Twins reduced order modeling (BBT‐ROM) to enhance the reliability of machine learning surrogate models for multiphase flow problems. BBT‐ROM builds upon Barlow Twins reduced order modeling that leverages self‐supervised learning to effectively handle linear and nonlinear manifolds by constructing well‐structured latent spaces of input parameters and output quantities. …”
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1771
ON ONE APPROACH TO SOLVING THE TRAVELING SALESMAN PROBLEM FOR AUTONOMOUS UNMANNED AERIAL VEHICLE PLANNING OF TARGET FLIGHT PATHS
Published 2021-04-01“…Develop a principle of constructing tools and procedures for optimal routing of targets by an autonomous uncrewed aerial vehicle, which have an acceptable complexity for implementation on an onboard computer. …”
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General Three-Body Problem in Conformal-Euclidean Space: New Properties of a Low-Dimensional Dynamical System
Published 2024-11-01“…Despite the huge number of studies of the three-body problem in physics and mathematics, the study of this problem remains relevant due to both its wide practical application and taking into account its fundamental importance for the theory of dynamical systems. …”
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A Multi-Scale Evaluation Model of Sustainable Development Goal 11.7 for Problem-Solving at Different Levels
Published 2024-10-01“…It employs a top-down problem-solving approach to construct a sustainable development indicator framework, setting appropriate sustainable development indicators for various levels of government based on the connotation of SDG 11.7, and generates city-scale results by integrating three scales: apartment complexes, street blocks, and counties. …”
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Approximate Solution of Mixed Problem for Telegrapher Equation with Homogeneous Boundary Conditions of First Kind Using Special Functions
Published 2021-04-01“…An example of solving the problem for the Klein – Gordon equation in the way that has been developed is given, and the graphs of exact and approximate solutions are constructed.…”
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Investigating the role of self-assessment in enhancing self-regulated learning amongst medical students in problem-based learning
Published 2025-05-01“…This requires effective strategies for self-regulated learning (SRL). Problem-based learning (PBL) is one recognized method for fostering SRL skills. …”
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Computer-economical optimization method for solving inverse problems of determining electrophysical properties of objects in eddy current structroscopy
Published 2025-01-01“…Introduction. The problems of determining the profiles of electrophysical material properties are among the inverse problems of electrodynamics. …”
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Numerical Solution to the Problem of Thermal Conductivity in a Porous Plate with a Topology of Triply Periodic Minimal Surfaces
Published 2025-03-01“…Despite the considerable attention paid to the problem, the study of the relationship between the geometry of porous structures and their thermal characteristics remains incomplete. …”
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