Asymptotic solution of a nonlinear advection-diffusion equation

Galerkin Method for the Numerical Solution of the Advection-Diffusion Equation by Using Exponential B-splines

In this paper, the exponential B-spline functions are used for the numerical solution of the advection-diffusion equation. Two numerical examples related to pure advection in a finitely long channel and the distribution of an initial Gaussian pulse are employed to illustrate the accuracy and the efficiency of the method. Obtained results are compared with some early studies.

A Solution of the Nonlinear Logarithmic Diffusion Equation

In this work, we solve the one-dimensional nonlinear logarithmic diffusion equation using a lattice-Boltzmann model and a d1q3 velocity scheme. Besides, the Tanh solitary wave method is used finding several families of solutions.

Nonlocal nonlinear advection-diffusion equations

We review some results about nonlocal advection-diffusion equations based on lower bounds for the fractional Laplacian. To Haim, with respect and admiration.

Stability Analysis of Scalar Advection-Diffusion Equation

This note recounts detailed stability and accuracy analysis of a scalar advection-diffusion equation.

Numerical Solution of Advection-Diffusion-Reaction Equations