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1. Fourier spectral method for solving fractional-in-space variable coefficient KdV-Burgers equation.

Author

Ning, Jing and Wang, Yu-Lan

Abstract

The variable coefficient KdV-Burgers (vc-KdVB) equation is widely used in many physical models. In this paper, Fourier spectral method is introduced to solve the fractional vc-KdVB equation. First, the numerical solution and the exact solution of the integer vc-KdVB equation are compared to verify the effectiveness of the present method. Furthermore, the fractional vc-KdVB equation is numerically simulated to investigate the influence of different fractional derivatives on the solution. [ABSTRACT FROM AUTHOR]

Published
2024
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