...Chun-Hui He Purpose Analytical methods are widely used in heat and fluid flow; the purpose of this paper is to couple Taylor series method and Bubbfil algorithm to solve nonlinear differential equations. Design/methodology/approach A series solution is obtained with some unknown constants...

... at initial stage, see Table I and Figure 1 . (7) f ( x 1 ) f ( x 2 ) < 0 Step 2: calculation of its approximate solution by the ancient Chinese algorithm: Ancient Chinese mathematics Bubbfil algorithm Newton’s iteration method Table I Newton...