Solution of the Boundary Layer Equation of the Power-Law Pseudoplastic Fluid Using Differential Transform Method

Table 1

The properties of the DTM and multi-step DTM.

Original function	DTM	Multi-step DTM
𝑓(𝑡)=𝑔(𝑡)±𝑠(𝑡)	𝐹(𝑘)=𝐺(𝑘)±𝑆(𝑘)	𝐹(𝑘)=𝐺(𝑘)±𝑆(𝑘)
𝑓(𝑡)=𝑐𝑔(𝑡)	𝐹(𝑘)=𝑐𝐺(𝑘)	𝐹(𝑘)=𝑐𝐺(𝑘)
𝐟(𝐭)=𝐝^𝐧𝐠(𝐭)𝐝𝐭^𝐧	𝐅(𝐤)=(𝐤+𝐧)!𝐆()𝐤!𝐤+𝐧	𝐅(𝐤)=(𝐤+𝐧)!𝐇^𝐧𝐆()𝐤!𝐤+𝐧
𝑓(𝑡)=𝑔(𝑡)𝑠(𝑡)	𝐹(𝑘)=∑^𝑘𝑟=0𝐺(𝑟)𝑆(𝑘−𝑟)	𝐹(𝑘)=∑^𝑘𝑟=0𝐺(𝑟)𝑆(𝑘−𝑟)