Helmholtz's equation with a variable wavenumber is solved for a point force through use of a first-order differential equation system approach. Since the system matrix in this formulation is non-constant, an eigensolution is no longer valid and recourse has to be made to approximate techniques ...
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 ...
A generalized Helmholtz equation fundamental solution using conformal mapping and dependent variable transformation. Eng Anal Bound Elem 2000;24(2):177-88.Shaw RP, Manolis GD. A generalized Helmholtz equation fundamental solution using a conformal mapping and dependent variable transformation. Engineering ...
The Laplace transform is applied to remove the time-dependent variable in the diffusion equation. For non-harmonic initial conditions this gives rise to a non-homogeneous modified Helmholtz equation which we solve by the method of fundamental solutions. To do this a particular solution must be obta...
Method of fundamental solutions: singular value decomposition analysis the singularity or the source method) is a useful technique for solving linear partial differential equations such as the Laplace or the Helmholtz equation... PA Ramachandran - 《Communications in Numerical Methods in Engineering》 被...
A FAST METHOD OF FUNDAMENTAL SOLUTIONS FOR SOLVING HELMHOLTZ-TYPE EQUATIONS The method of fundamental solution (MFS) has been known as a simple and effective boundary meshless method. However, the MFS generates dense square coeffic... Xinrong Jiang,Wen Chen,C. S. Chen - 《International Journal ...
The obtained results imply, in particular, a new uniqueness theorem for the classical Helmholtz equation. 展开 关键词: Asymptotic expansion fundamental solution hypoelliptic equation multiple zeros radiation conditions uniqueness theorem 年份: 2024
An empirical fundamental equation of state in terms of the Helmholtz energy for tetrahydrofuran is presented. In the validity range from the triple-point t
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 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...