The chapter focuses on solving the equation in, =. The Laplace operator enters in many partial differential equations of physics, which purport to describe phenomena taking place in isotropic media. It is there
1.三维单位冲击函数的表示: 2.拉普拉斯方程基本解的求解 参考文献: https://www.math.usm.edu/cschen/NTU/fundametal_solution.pdf(School of Mathematics and Natural Sciences,University of Southern Mi…
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 ...
This means that the governing partial differential equations were initially recast as some kind of Poisson's equation and the fundamental solution of Laplace's equation employed to obtain an equivalent integral formulation. The resulting domain integral was then approximated in a DRM fashion, and a ...
side of this equation to the sum of fractional integrals by x and y, we then use the operational technique for the conventional right-sided Laplace transformation and its extension to generalized functions to describe a complete family of eigenfunctions and fundamental solutions of the operator ???
The method of fundamental solutions and condition number analysis for inverse problems of Laplace equationYoungD.L.TsaiC.C.ChenC.W.FaningentaconnectComputers & Mathematics with ApplicationsD.L. Young,C.C. Tsai,C.W. Chen,C.M. Fan.The method of fundamental solutions and condition number analysis...
the method of fundamental solutionDirichlet problemIn this paper we are concerned with analyzing the numerical stability of the method of fundamental solution [2] applied to the Dirichlet problem of Laplace's equation. In the course of the analysis we clarify the mechanism of the propagation of ...
basic solution基本解 1.In boundary,because basic solutions contain singular term,which influences the application of multipole expansion method,but by Laplace transformation it can be reduced to exponential series.由于在边界方程基本解中,含有奇异项1/r,影响了多极展开(FMM)的应用,笔者利用拉普拉斯变换,可以...
The method of approximate fundamental solutions for axisymmetric problems with Laplace operatordoi:10.1016/j.enganabound.2006.07.013LaplaceequationAxisymmetricproblemsFundamentalsolutionsInfinitedomainThe paper presents a new numerical technique for solving axisymmetric problems with Laplace operator. It is similar ...
Alternating iteration method for solving theLaplace equation; 求解Laplace方程的交替迭代法 3. The existence for the solution of theLaplace equationwith an exponential Neumann boundary condition; 带指数增长型Neumann边界条件的Laplace方程解的存在性