TY - JOUR T1 - A Novel Spectral Method for Burgers Equation on The Real Line AU - Jiao , Yujian JO - East Asian Journal on Applied Mathematics VL - 3 SP - 532 EP - 548 PY - 2020 DA - 2020/06 SN - 10 DO - http://doi.org/10.4208/eajam.201119.070220 UR - https://global-sci.org/intro/article_detail/eajam/16981.html KW - Burger equation on the real line, spectral method, nonlinear problem, generalised Hermite function. AB -

A spectral method for the Burgers equation on the whole real line based on generalised Hermite functions is proposed. The generalised stability and convergence of the method are proved. Numerical results confirm the theoretical findings and demonstrate the efficiency of the algorithm.