diffusion equationIn the recent literature, the boundary element method (BEM) is extensively used to solve time-dependent partial differential equations. However, most of these formulations yield algorithms where one has to include all interior points in the computation process if finite difference ...
5) extended space-time fractional convection and diffusion equation 推广的空间-时间分数阶对流扩散方程 6) the time fractional advection-dispersion equation 时间分数阶对流-扩散方程 1. In the second section, the solution for the Cauchy problem ofthe time fractional advection-dispersion equationis considere...
Making use of the diffusion equation a theoretical time domain model for photon migration through a highly scattering layered slab has been elaborated. A pencil pulsed light beam is normally incident upon the surface of the first diffusing layer. The effect of the refractive index mismatch with ...
A numerical approach is proposed to examine the singularly perturbed time dependent convection-diffusion equation in one space dimension on a rectangular domain. The solution of considered problem exhibits a boundary layer on the right side of the domain. We semidiscretize the continuous problem by ...
A general method is presented for solution of the diffusion equation in a semi-infinite medium with an arbitrary time-dependent interfacial mass-transfer coefficient. This model describes mass-transfer through an ageing interface in the presence of a soluble surface-activate agent. The method is demo...
The Petrov- Galerkin scheme is not the same as the finite difference method using 16 upwind differences; it also guarantees the accuracy of the solution to the convection-diffusion equation via a suitable choice of the parameter a. Discretization of equation (2.3.3) using the shape function (...
The multi-term time-fractional diffusion equation is a useful tool in the modeling of complex systems. This paper aims to identifying a time-dependent source term in a multi-term time-fractional diffusion equation from the boundary Cauchy data. The regularity of the weak solution for the direct...
The formalism required to treat the time‐dependent diffusion of the light particles of a Lorentzian fluid from a given initial state is developed at the microscopic level in terms of an appropriate solution of the Boltzmann equation. Comparison is made with the results obtained from the alternative...
1D time dependent linear convection-diffusion equationtransverse integrated physical quantitiespseudo source termsLegendre polynomialordinary differential equationA nodal integral expansion method (NIEM) is developed as a new nodal approach and it is applied to the one-dimensional time-dependent linear ...
Using asymptotic analysis, we derive a time-dependent diffusion equation for the mean concentration profile along the axial-direction in a pipe. In the special case of time-independent flow, our result reduces to that of Taylor. 关键词: taylor diffusion time-dependent flow MRI asymptotic analysis...