In this paper, a numerical solution of the generalized Burgers–Huxley equation is presented.
This is the application of spectral collocation method. To reduce roundoff error in this method …

In this study, we use the spectral collocation method using Chebyshev polynomials for
spatial derivatives and fourth order Runge–Kutta method for time integration to solve the …

In this paper, we present a new method for solving of the generalized Burger's–Huxley
equation by using the collocation formula for calculating spectral differentiation matrix for …

In this paper, we solve the Burgers' equation by pseudospectral method. This equation is
one-dimensional quasilinear partial differential equation. To reduce round-off error of …

We present in this paper some new preconditioning methods in spectral collocation
derivative approach to solve linear partial differential equations. Also, additional …

In this paper, the Korteweg-de Vries equation is solved by pseudospectral method. In
pseudospectral method we have to use matrix vector multiplication to compute derivative (s) …

In this paper, we solve the Lax's seventh-order Korteweg-de Vires (KdV) equation by
pseudospectral method. To enhance the accuracy in matrix vector multiplication method we …

In this paper the solution of a generalized Hirota–Satsuma Korteweg–de Vires (KdV)
equation using a pseudospectral method is presented. To reduce roundoff error we use …

By means of spectral collocation method the solution of the Kortewegde Vries Burgers
(KdVB) equation is obtained, numerically. To reduce roundoff error we use central, left and …

To compute derivatives using matrix vector multiplication method, new algorithms were
introduced in [1, 2]. By these algorithms, we reduced roundoff error in computing derivatives …