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The transverse method of lines can reduce a one-dimensional parabolic partial differential equation subject to integral conditions to a series of ordinary differential equations(ODEs) with integral boundary conditions.
Modeling such systems requires solving the associated Fokker-Planck equation subject to an absorbing barrier.
A robust control scheme is developed for the well-known chaotic Duffing equation subject to uncertainties.
In fact, this methodology can be applied to any system described by a time-delay equation subject to bounded disturbances.
In this paper a novel method to solve the constant coefficient wave equation, subject to interface jump conditions, is presented.
Throughout this paper, we always use the following notations: (C1) is the Green's function of the differential equation subject to the boundary conditions (1.2); (C2) is the Green's function of the differential equation subject to the boundary conditions (2.1).
Similar(12)
The considered phenomenon is described by a partial differential equation, subjected to (nonlinear) boundary conditions.
A boundary element method, BEM, is applied to solve the Helmholtz equation subjected to boundary conditions related to structural vibrations.
The forward problem is a 3-D steady state heat conduction equation subjected to convection and radiation heat loss boundary conditions.
An analytical solution to the bulk diffusion equation subjected to each boundary condition is presented to determine the concentration distribution of solvent in the heavy oil.
We present the existence of positive solutions for a fractional boundary value problem modeled from the Thomas-Fermi equation subjected to Sturm-Liouville boundary conditions.
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