TY - JOUR AU - Hayytov, Serdar AU - Tey, Wah Yen AU - Kang, Hooi Siang AU - Muhieldeen, Mohammed W. AU - Afshar, Omid PY - 2021/06/13 Y2 - 2024/03/28 TI - Comparative Review on Computational Performance of Multistep Schemes in Solving One-Dimensional Linear Wave Equation JF - CFD Letters JA - CFD Lett. VL - 13 IS - 6 SE - Articles DO - 10.37934/cfdl.13.6.114 UR - https://www.akademiabaru.com/submit/index.php/cfdl/article/view/3671 SP - 1-14 AB - <p>Among several numerical methods used to solve the hyperbolic model of the linear wave equation, single-step algorithms can be the more popular ones. However, these algorithms are time-consuming while incurring numerical inaccuracy. Thus, multistep methods can be a suitable option as it has a high order of accuracy. This study aims to investigate and compare the computational performance of these multistep schemes in solving hyperbolic model based on one-dimensional linear wave equation. The techniques studied in this paper comprise the two-step Lax-Wendroff method, MacCormack method, second-order upwind method, Rusanov-Burstein-Mirin method, Warming-Kutler-Lomax method, and fourth-order Runge-Kutta method. Finite difference method is applied in discretisation. Our simulation found that although higher-order multistep methods are more stable than single-step algorithm, they suffer numerical diffusion. The two-step Lax-Wendroff method outperforms other schemes, although it is relatively simple compared with the other three and four steps schemes. The second-order upwind method is attractive as well because it is executable even with a high Courant number.</p> ER -