Kabeto Masho Jima, Duressa Gemechis File
Department of Mathematics, Jimma University, Jimma, Ethiopia.
Heliyon. 2022 May 31;8(6):e09579. doi: 10.1016/j.heliyon.2022.e09579. eCollection 2022 Jun.
In this paper, a second-order robust method for solving singularly perturbed Burgers' equation were presented. To find the numerical approximation, we apply the quasilinearization technique before formulation of the scheme. The obtained experimental results show that the presented method has better numerical accuracy and convergence as compared to some existing methods in the literature. Thus, the present method provides an accurate solution and efficient to solve the singularly perturbed Burgers' equation.
本文提出了一种求解奇异摄动伯格斯方程的二阶鲁棒方法。为了找到数值近似解，我们在构建格式之前应用拟线性化技术。所获得的实验结果表明，与文献中的一些现有方法相比，本文提出的方法具有更好的数值精度和收敛性。因此，本文方法为求解奇异摄动伯格斯方程提供了一种精确且高效的解决方案。
