boundary condition

n. Mathematics

An equation that specifies the behavior of the solution to a system of differential equations at the boundary of its domain.

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Noun

boundary condition - (mathematics) a condition specified for the solution to a set of differential equations

math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement

precondition, stipulation, condition - an assumption on which rests the validity or effect of something else

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References in periodicals archive

Least mode frequencies are observed for 1st, 2nd, 3rd, and 4th modes for F-F-F-F ( four side free), S-S-S-S (four sides simply supported) and C-F-F-F (Cantilever) boundary conditions and the highest natural frequency is observed for C-C-C-C (four sides clamped) boundary condition.

Vibration Analysis of Cracked Composite Laminated Plate

Therefore, it can be concluded that, under the constant flow boundary condition, the water level of vacuum dewatering is lower than the nonvacuum dewatering and the dewatering effect of vacuum dewatering is much better.

Groundwater Level Distribution in Vacuum Dewatering Method in Phreatic Aquifer

In this paper, we study the following differential system with coupled integral boundary conditions:

The Uniqueness Theorem of the Solution for a Class of Differential Systems with Coupled Integral Boundary Conditions

In order to verify the accuracy of the procedure that has been built, we consider the three-dimension advection-diffusion equation (1), with initial condition (2) and boundary conditions (3)-(8).

On FTCS Approach for Box Model of Three-Dimension Advection-Diffusion Equation

The equation on the right with boundary conditions (13) gives the following fractional differential equation:

The Solution of Initial Boundary Value Problem with Time and Space-Fractional Diffusion Equation via a Novel Inner Product

Prediction of field data at the boundary can be obtained using a quadratic interpolated initial and boundary condition (see (13)).

Numerical Simulation of a One-Dimensional Water-Quality Model in a Stream Using a Saulyev Technique with Quadratic Interpolated Initial-Boundary Conditions

The vapor phase flow is driven by the phase change at the liquid-vapor interface, which constitutes the boundary condition of the vapor phase flow.

Preliminary Estimate of Coriolis Force of Vapor Flow in Rotating Heat Pipes Based on Analytical Solution

Wang, "A fractional boundary value problem with dirichlet boundary condition," Communications in Applied Analysis, vol.

Positive Solutions for a Fractional Boundary Value Problem with a Perturbation Term

However, these new boundary conditions must be carefully constructed, because they can perturb essentially the solution of the initial value problem.

On the Accuracy of Some Absorbing Boundary Conditions for the Schrodinger Equation

The main reason for this is the lack of support for boundary conditions or the inefficiency of computing them.

OpenCL-Based FPGA Accelerator for 3D FDTD with Periodic and Absorbing Boundary Conditions