TY - JOUR
TI - Double trials method for nonlinear problems arising in heat transfer
AU - He Chun-Hui
AU - He Ji-Huan
JN - Thermal Science
PY - 2011
VL - 15
IS - 11
SP - 153
EP - 155
PT - Article
AB - According to an ancient Chinese algorithm, the Ying Buzu Shu, in about second  century BC, known as the rule of double false position in West after 1202 AD,  two trial roots are assumed to solve algebraic equations. The solution  procedure can be extended to solve nonlinear differential equations by  constructing an approximate solution with an unknown parameter, and the  unknown parameter can be easily determined using the Ying Buzu Shu. An  example in heat transfer is given to elucidate the solution procedure.