fundamental solutionThe Christoffel problem is equivalent to the existence of convex solutions to the Laplace equation on the unit sphere S^n S n S^n . Necessary and sufficient conditions have been found by Firey and Berg, using the Green function of the Laplacian on the sphere. Expressing ...
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…
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 ???
Riemann-Liouville derivatives and integrals of fractional orderEigenfunctions and fundamental solutionLaplace transformMittag-Leffler functionPrimary 35R11Secondary 30G3526A3335P10In this paper we study eigenfunctions and fundamental solutions for the three parameter fractional Laplace operator [equation] where [...
Using the fundamental solution of the Laplace equation as the radial basis function, the problem is solved by collocation of boundary points. The present model is a first applied to simulate the generation of monochromatic periodic gravity waves by applying a semi-analytical or semi-numerical method...
,J Hu - 《Journal of Computational Mathematics》 被引量: 37发表: 2009年 Asymptotic Statistics of Zeroes for the Lamé Ensemble The Lam茅 polynomials naturally arise when separating variables in Laplace's equation in elliptic coordinates. The productsof these polynomials form a clas... Alain,...
(G ∗ u)) i=1 ∂xi = −grad (div (u ∗ G)), where G is the fundamental solution for the Laplace equation in R3 : ∀x, y ∈ R3... Labbé,Stéphane - 《Siam Journal on Scientific Computing》 被引量: 26发表: 2005年 加载更多来源...
Theorem 3.2.4 (Fundamental Solutions) Suppose y1 and y2 are solutions to the equation If there is a point t0 such that W(y1,y2)(t0) 0, then the family of solutions y = c1y1 + c2 y2 with arbitrary coefficients c1, c2 includes every solution to the differential equation. The ...
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 ...
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 ...