Search Results - "Lubin, G."
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1
Numerical Algorithms for Identification of Convection Coefficient and Source in a Magnetohydrodynamics Flow
Published in Algorithms (01-09-2024)“…We consider three integral observations inverse problems (IP1, IP2, IP3) for reconstruction of a time-dependent convection coefficient and a source in…”
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2
Numerical Identification of External Boundary Conditions for Time Fractional Parabolic Equations on Disjoint Domains
Published in Fractal and fractional (01-04-2023)“…We consider fractional mathematical models of fluid-porous interfaces in channel geometry. This provokes us to deal with numerical identification of the…”
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3
Numerical Solution of External Boundary Conditions Inverse Multilayer Diffusion Problems
Published in Symmetry (Basel) (01-10-2024)“…The present study is concerned with the numerical solution of external boundary conditions in inverse problems for one-dimensional multilayer diffusion, using…”
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4
A Galerkin Finite Element Method for the Reconstruction of a Time-Dependent Convection Coefficient and Source in a 1D Model of Magnetohydrodynamics
Published in Applied sciences (01-07-2024)“…The mathematical analysis of viscous magnetohydrodynamics (MHD) models is of great interest in recent years. In this paper, a finite element Galerkin method is…”
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5
Inverse Boundary Conditions Interface Problems for the Heat Equation with Cylindrical Symmetry
Published in Symmetry (Basel) (01-08-2024)“…In this paper, we study inverse interface problems with unknown boundary conditions, using point observations for parabolic equations with cylindrical…”
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6
Positive Fitted Finite Volume Method for Semilinear Parabolic Systems on Unbounded Domain
Published in Axioms (01-08-2024)“…This work deals with a semilinear system of parabolic partial differential equations (PDEs) on an unbounded domain, related to environmental pollution…”
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7
Numerical Reconstruction of Time-Dependent Boundary Conditions to 2D Heat Equation on Disjoint Rectangles at Integral Observations
Published in Mathematics (Basel) (01-05-2024)“…In this paper, two-dimensional (2D) heat equations on disjoint rectangles are considered. The solutions are connected by interface Robin’s-type internal…”
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8
A Quasilinearization Approach for Identification Control Vectors in Fractional-Order Nonlinear Systems
Published in Fractal and fractional (01-04-2024)“…This paper is concerned with solving the problem of identifying the control vector problem for a fractional multi-order system of nonlinear ordinary…”
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9
Numerical Recovering of Space-Dependent Sources in Hyperbolic Transmission Problems
Published in Mathematics (Basel) (01-06-2024)“…A body may have a structural, thermal, electromagnetic or optical role. In wave propagation, many models are described for transmission problems, whose…”
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10
Inverse Problem Numerical Analysis of Forager Bee Losses in Spatial Environment without Contamination
Published in Symmetry (Basel) (01-12-2023)“…We consider an inverse problem of recovering the mortality rate in the honey bee difference equation model, that tracks a forage honeybee leaving and entering…”
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11
Numerical Identification of Boundary Conditions for Richards’ Equation
Published in Mathematics (Basel) (01-01-2024)“…A time stepping quasilinearization approach to the mixed (or coupled) form of one and two dimensional Richards’ equations is developed. For numerical solution…”
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12
Numerical Reconstruction of the Source in Dynamical Boundary Condition of Laplace’s Equation
Published in Axioms (01-01-2024)“…In this work, we consider Cauchy-type problems for Laplace’s equation with a dynamical boundary condition on a part of the domain boundary. We construct a…”
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13
Numerical Solution of the Retrospective Inverse Parabolic Problem on Disjoint Intervals
Published in Computation (01-10-2023)“…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…”
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14
Weak and Classical Solutions to Multispecies Advection–Dispersion Equations in Multilayer Porous Media
Published in Mathematics (Basel) (01-07-2023)“…The basic model motivating this work is that of contaminant transport in the Earth’s subsurface, which contains layers in which analytical and semi-analytical…”
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15
Analysis of second order difference schemes on non-uniform grids for quasilinear parabolic equations
Published in Journal of computational and applied mathematics (15-01-2017)“…On the base of the maximum principles two-sided estimates for solutions of difference schemes are proved without any assumption of sign-definiteness of input…”
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16
Numerical Analysis of Direct and Inverse Problems for a Fractional Parabolic Integro-Differential Equation
Published in Fractal and fractional (01-08-2023)“…A mathematical model consisting of weakly coupled time fractional one parabolic PDE and one ODE equations describing dynamical processes in porous media is our…”
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17
Numerical Solution of Fractional Models of Dispersion Contaminants in the Planetary Boundary Layer
Published in Mathematics (Basel) (25-04-2023)“…In this study, a numerical solution for degenerate space–time fractional advection–dispersion equations is proposed to simulate atmospheric dispersion in…”
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18
Parameters Estimation in a Time-Fractiona Parabolic System of Porous Media
Published in Fractal and fractional (01-06-2023)“…The simultaneous estimation of coefficients and the initial conditions for model fractional parabolic systems of porous media is reduced to the minimization of…”
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19
Numerical solution of time-fractional Black–Scholes equation
Published in Computational & applied mathematics (01-12-2017)“…In this paper we present a numerical method for a time-fractional Black–Scholes equation, which is used for modeling the fractional structure of the financial…”
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20
Fitted finite volume method for indifference pricing in an exponential utility regime-switching model
Published in Journal of computational and applied mathematics (15-05-2021)“…We consider one-dimensional systems of weakly coupled degenerate semi-linear parabolic equations for buyer’s and writer’s pricing of European options under…”
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