SOLUTION OF RAYLEIGH-PLESSET EQUATION USING DIFFERENTIAL TRANSFORM METHOD
Gurpreet Singh Tuteja
Department of Mathematics
Zakir Husain Delhi College (University of Delhi), JLN Marg, New Delhi – 110002
(Received: September 22, 2020; Revised: October 22, 2020; Final form : September 13, 2021)
The objective of the paper is to solve Rayleigh-Plesset equation using Differential Transform Method in one dimension. The Rayleigh-Plesset equations both with and without viscosity terms are taken into consideration, approximate series are generated using DTM transforms and significant difference is found in their solutions. Also, the results are compared with numerical solution and found to be approximately same for small time t. As t becomes large and r -->1, the difference becomes significant.
2020 Mathematical Sciences Classification: 76B10
Keywords and Phrases: Rayleigh-Plesset equation, differential equation, differential transform method.