Penyelesaian Numerik Advection Equation 1 Dimensi dengan EFG-DGM

A numerical scheme for space-time fractional advection-dispersion equation

In this paper, we develop a numerical resolution of the space-time fractional advection-dispersion equation. We utilize spectral-collocation method combining with a product integration technique in order to discretize the terms involving spatial fractional order derivatives that leads to a simple evaluation of the related terms. By using Bernstein polynomial basis, the problem is transformed in...

A closer look at the advection equation

Most of this chapter is devoted to a discussion of the one-dimensional advection equation, (4.1) Here A is the advected quantity, and c is the advecting current. This is a linear, first-order, partial differential equation with a constant coefficient, namely c. Both space and time differencing are discussed in this chapter, but more emphasis is placed on space differencing. We have already pres...

Application of a fractional advection-dispersion equation

A transport equation that uses fractional-order dispersion derivatives has fundamental solutions that are Lévy’s a-stable densities. These densities represent plumes that spread proportional to time, have heavy tails, and incorporate any degree of skewness. The equation is parsimonious since the dispersion parameter is not a function of time or distance. The scaling behavior of plumes that unde...

Numerik gewöhnlicher Differentialgleichungen

Subordinated Advection-dispersion Equation for Contaminant Transport

A mathematical method called subordination broadens the applicability of the classical advection--dispersion equation for contaminant transport. In this method, the time variable is randomized to represent the operational time experienced by different particles. In a highly heterogeneous aquifer, the operational time captures the fractal properties of the medium. This leads to a simple, parsimo...