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By the technical energy analysis method, we obtain the prior estimate of the numerical solution for the box scheme. Furthermore, the solvability and convergence are obtained directly from the prior estimate. The extensive numerical examples are carried out, which verify the developed box scheme can achieve global second-order accuracy for both homogeneous and nonhomogeneous Burgers' equations.&lt;\/p&gt;&lt;\/abstract&gt;<\/jats:p>","DOI":"10.3934\/nhm.2023014","type":"journal-article","created":{"date-parts":[[2022,12,27]],"date-time":"2022-12-27T14:30:05Z","timestamp":1672151405000},"page":"359-379","source":"Crossref","is-referenced-by-count":1,"title":["The numerical solutions for the nonhomogeneous Burgers' equation with the generalized Hopf-Cole transformation"],"prefix":"10.3934","volume":"18","author":[{"given":"Tong","family":"Yan","sequence":"first","affiliation":[]}],"member":"2321","reference":[{"key":"key-10.3934\/nhm.2023014-1","doi-asserted-by":"publisher","unstructured":"H. Bateman, Some recent researches on the motion of fluids, <i>Mon. Wea. 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