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丁二烯抽提（ＧＰＢ）装置的第一、二萃取精馏塔底部均装有侧沸器，实际上是集液板。与一般塔板不同，模拟计算时不能简单地采用三对角矩阵法求解所列方程组，而必须用矩阵求逆法或其它方法求解，这就需要更多的内存和更多的计算时间。文中将数学模型进行变换，使之仍可采用三对角矩阵法求解。在此基础上，应用了二阶Ｒｕｎｇｅ－Ｋｕｔｔａ及三对角矩阵联合法计算，顺利收敛，达到满意的计算精度。
Butadiene extraction (GPB) unit of the first and second extractive distillation column are equipped with a boiling side of the bottom, in fact, is the collector plate. Unlike general trays, you can not simply use the tridiagonal matrix method to solve the equations listed in the simulation. Instead, you must solve the matrix inversion method or other methods, which requires more memory and more computation time. In this paper, the mathematical model is transformed so that it can still be solved by tridiagonal matrix method. On this basis, the second-order Runge-Kutta and tridiagonal matrix are applied to calculate the convergence rate, and the convergence rate is satisfactory.