Results 31 to 40 of about 155,588 (159)
In this article, we construct exact traveling wave solutions of the loaded Korteweg-de Vries, the loaded modified Korteweg-de Vries, and the loaded Gardner equation by the functional variable method.
Bazar Babajanov, Fakhriddin Abdikarimov
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In the paper we study a loaded degenerate hyperbolic equation of the second order with variable coefficients. The principal part of the equation is the Gellerstedt operator.
Anatoly H Attaev
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On a stability of a solution of the loaded heat equation
Steadily growing interest in study of loaded differential equations is explained by the range of their applications and a circumstance that loaded equations make a special class of functional - differential equations with specific problems. These equations have applications in study of inverse problems of differential equations with important applied ...
M.T. Jenaliyev +3 more
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Cauchy problem for an essentially loaded fractional diffusion equation
In this paper, we solve the Cauchy problem for a loaded fractional diffusion equation in an infinite strip. The loaded term is defined as the trace of the fractional derivative of the desired solution on a continuous curve lying inside the domain.
A.V. Pskhu +3 more
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Boundary value problems for essentially-loaded parabolic equation
In this paper we investigate the first boundary value problem for essentially loaded equation of heat conduction, i.e. when laden terms are derivatives for any finite order.
M.I. Ramazanov +4 more
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Numerical Solution of Locally Loaded Volterra Integral Equations
Loaded Volterra integral equations represent a novel class of integral equations that have attracted considerable attention in recent years due to their numerous applications in various fields of science and engineering. This class of Volterra integral equations is characterized by the presence of a loading function, which complicates their theoretical
Vladislav Byankin +3 more
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Load Balancing for the Numerical Solution of the Navier-Stokes Equations
In this paper, we simulate the performance of a load balancing scheme. In particular, we study the application of the Extrapolated Diffusion(EDF) method for the efficient parallelization of a simple atmospheric model. It involves the numerical solution of the steady state Navier-Stokes(NS) equations in the horizontal plane and random load values ...
Gregory Karagiorgos +4 more
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Source Identification for a Two-Dimensional Parabolic Equation with an Integral Constraint
We consider a two-dimensional parabolic problem subject to both Neumann and Dirichlet boundary conditions, along with an integral constraint. Based on the integral observation, we solve the inverse problem of a recovering time-dependent right-hand side ...
Miglena N. Koleva, Lubin G. Vulkov
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We prove the unique solvability of a boundary-value problems for a third-order loaded integro-differential equation with variable coefficients, by reducing the equation to a Volterra integral equation.
Bozor Islomov, Umida I. Baltaeva
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Background. One of the important sections of the theory of differential equations is loaded equations. They allow us to model processes in which the influence of external factors significantly changes the behavior of the system.
M.Kh. Beshtokov
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