@Article{EAJAM-10-532, author = {Jiao , Yujian}, title = {A Novel Spectral Method for Burgers Equation on The Real Line}, journal = {East Asian Journal on Applied Mathematics}, year = {2020}, volume = {10}, number = {3}, pages = {532--548}, abstract = {

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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.201119.070220}, url = {http://global-sci.org/intro/article_detail/eajam/16981.html} }