The fundamental solutions of the time-fractional diffusion equation障害者自立支援法精神障害就労移行支援事業就労継続支援事業就業支援the services and supports for persons with disabilities actpersons with mental disabilitiessupport program for transition to work...
K. Kannai Y.: Off diagonal short time asymptotics for fundamental solutions of diffusions equations. Commun. in PDE 2 (8), 781–830 (1977) MathSciNetKannai, Y.: Off diagonal short time asymptotics for fundamental solutions of diffusion equations. Commun. Partial Differ. Equ. 2 (8), 781...
We construct a fundamental solution of a diffusion-wave equation with Dzhrbashyan-Nersesyan fractional differentiation operator with respect to the time variable. We prove reduction formulae and solve the problem of sign-determinacy for the fundamental solution. A general representation for solutions is...
In this article, a meshless numerical method for solving the inverse source problem of the space-fractional diffusion equation is proposed. The numerical solution is approximated using the fundamental solution of the space-fractional diffusion equation as a basis function. Since the resulting matrix ...
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...
1.fundamental solution of partial differential equation偏微分方程的基本解 2.Fractional Partial Differential Equation s Numerical Solution and Fundamental Solution;分数阶偏微分方程的数值解及基本解 3.The problem of food and clothing having been basically solved, the people have been guaranteed with the ba...
nonhomogeneous diffusion equationmethod of fundamental solutionsdual reciprocity methoddiffusion fundamental solutionmultidimensionsThis paper describes a combination of the method of fundamental solutions (MFS) and the dual reciprocity method (DRM) as a meshfree numerical method (MFSDRM model) to solve 2D...
In this study, we presented the high-order fundamental solutions and general solutions of convection -- diffusion equation. To demonstrate their efficacy, we applied the high-order general solutions to the boundary particle method (BPM) for the solution of some inhomogeneous convection -- diffusion ...
This paper transforms differential equation of elasticity mechanics to integral equation over the boundary throughbasic solutionof elasticity problem. 文章通过弹性力学问题的基本解将域内微分方程变换成边界上的积分方程,然后在边界上离散;由已知边界位移和边界应力直接求出未知边界位移和边界应力,并得出据以计算整个...
The classical method of fundamental solutions (MFS) has only been used to approximate the solution of homogeneous PDE problems. Coupled with other numerica... CJS Alves,CS Chen - 《Advances in Computational Mathematics》 被引量: 127发表: 2005年 Direct approach to solve nonhomogeneous diffusion pro...