CAJ | 학술논문

应用一种解析技巧——同伦分析方法求解了Burgers方程。与之前的工作不同，Burgers方程的求解基于了Hopf-Cole变换方法。通过与先前的方法比较，结果表明同伦分析方法能够有效处理非线性问题，并提供一个方便的方式来控制收敛区域和级数解的收敛率。
응용일충해석기교——동륜분석방법구해료Burgers방정。여지전적공작불동，Burgers방정적구해기우료Hopf-Cole변환방법。통과여선전적방법비교，결과표명동륜분석방법능구유효처리비선성문제，병제공일개방편적방식래공제수렴구역화급수해적수렴솔。
In this paper,Burgers’equation is solved by an analytic technique named homotopy analysis meth?od. Different from previous work,we solve this equation based on the Hopf-Cole transformation. The comparisons are made among the results of the present work,the previous work and the homotopy perturbation method. It is indi?cated that homotopy analysis method is valid for dealing with the nonlinearity and provides a convenient way of con?trolling the convergence region and rate of the series solution.