TY - JOUR
AU - Aderogba, Adebayo Abiodun
AU - Chapwanya, Michael
AU - Kamdem, Jules Djoko
PY - 2022/12/27
Y2 - 2023/02/08
TI - On the numerical solution of the Kuramoto-Sivashinsky equation using operator-splitting method: On the numerical solution...
JF - Journal of the Nigerian Mathematical Society
JA - JNMS
VL - 41
IS - 3
SE - Articles
DO -
UR - https://ojs.ictp.it/jnms/index.php/jnms/article/view/859
SP - 261 - 274
AB - <p>An operator-splitting scheme for the Kuramoto-Sivashinsky equation, $u_t+uu_x+u_{xx}+u_{xxxx}=0$, is proposed. The method is based on splitting the convective and the diffusive differential terms thereby permitting an efficient scheme choice for each of them, and when combined give a reliable solution for the entire equation. We demonstrate the accuracy and capability of the proposed split scheme via several numerical experiments. Computations of the bound, $\displaystyle{\limsup_{t\rightarrow \infty}\|u(x,t)\|_2}$ for the equation is also presented.</p>
ER -