@article{Aderogba_Chapwanya_Kamdem_2022, title={On the numerical solution of the Kuramoto-Sivashinsky equation using operator-splitting method: On the numerical solution...}, volume={41}, url={https://ojs.ictp.it/jnms/index.php/jnms/article/view/859}, abstractNote={<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>}, number={3}, journal={Journal of the Nigerian Mathematical Society}, author={Aderogba, Adebayo Abiodun and Chapwanya, Michael and Kamdem, Jules Djoko}, year={2022}, month={Dec.}, pages={261–274} }