Approximation of Burgers' equation by pseudo-spectral methods

Pseudo-spectral ‎M‎atrix and Normalized Grunwald Approximation for Numerical Solution of Time Fractional Fokker-Planck Equation

This paper presents a new numerical method to solve time fractional Fokker-Planck equation. The space dimension is discretized to the Gauss-Lobatto points, then we apply pseudo-spectral successive integration matrix for this dimension. This approach shows that with less number of points, we can approximate the solution with more accuracy. The numerical results of the examples are displayed.

On Numerical Approximation of Stochastic Burgers’ Equation

Convergence of iterative methods applied to Burgers-Huxley equation

An approximation to the solution of Benjamin-Bona-Mahony-Burgers equation

In this paper, numerical solution of the Benjamin-Bona-Mahony-Burgers (BBMB) equation is obtained by using the mesh-free method based on the collocation method with radial basis functions (RBFs). Stability analysis of the method is discussed. The method is applied to several examples and accuracy of the method is tested in terms of $L_2$ and $L_infty$ error norms.

Approximation of Burgers’ Equation Using B-spline Finite Element Method

In this paper we present a numerical scheme for solving Burgers equation using B-spline finite element method. Main advantages of the present technique are: it is simple, efficient and moreover easy to understand. Some numerical examples are considered to test the functioning of proposed scheme. Results obtained from the given method of solution are validated by means of comparisons made with t...