fundamental solutionaxisymmetric problemboundary element methodHelmholtz-type equationThe paper presents a study of fundamental solutions that are applied to theboundary element (BE) analyses of the axisymmetric
The MFS has proven successful in applications for which the fundamental solution of the governing equation is known, such as the following: Laplace [14], Helmholtz [15], Poisson [16], Stokes [17] and biharmonic equations [18]. A simple and very accurate direct evaluation of the derivatives ...
Solution R conforms the solution of the Bessel equation, and Jm is the Bessel function of the first kind. Figure 1d shows the first three curves of the Bessel function of the first kind. In Eq. (4), the boundary condition requires Jm(ka) = 0, so each of the zero point of the...
An empirical fundamental equation of state in terms of the Helmholtz energy for tetrahydrofuran is presented. In the validity range from the triple-point temperature up to 550 K and pressures up to 600 MPa, the equation of state enables the calculation of all thermodynamic properties in the liqui...
18.fundamental solution of partial differential equation偏微分方程的基本解 相关短句/例句 finite elementary solution method有限基本解方法 1.In this paper the aerodynamic characteristics of airborne dispenser wing body combinations are caculated by use of finite elementary solution method.采用有限基本解方法对...
4.Basic solutions and general solution of non-homogeneous linear differential equation非齐次线性微分方程的基本解组与通解 5.The method of fundamental solutions for 3D Helmholtz exterior problem of underwater rigid objects基本解方法解水下刚性目标三维Helmholtz外散射问题 6.the fundamental assumptions underlying...
The present scheme is free from the frequently used Laplace transform and the finite difference discretization method to deal with the time derivative term in the governing equation. By properly placing the source points in the timespace domain, the solution is advanced in time until a steady ...
The method of fundamental solutions (MFS for short) is a mesh-free numerical solver for linear partial differential equations such as the Laplace equation, the Helmholtz equation, and the biharmonic equation. Its idea is quite simple, and the algorithm is described for the Laplace equation, which...
For the approximation of time derivative in the governing equation the finite difference method is used. Then the problem is solved by the solution of non-homogeneous equation at each time step. The radial basis function (RBF) is used for interpolation of right-hand side of the governing ...
The present method is easily extended to other elliptic type equations, such as the Helmholtz equation and the biharmonic equation. However, this issue will be presented in other place. After optimally setting the source points the condition number of the coefficient matrix can be reduced; however...