Showing posts with label nonlinear partial differential equation. Show all posts
Showing posts with label nonlinear partial differential equation. Show all posts

Tuesday, 17 October 2023

Lie’s Infinitesimal Continous Similarity Transformtion Method of Finding Particulr Solutions of Partial Differential Equations and It’s Limitations | Chapter 3 | Research and Applications Towards Mathematics and Computer Science Vol. 5

 Lie’s unending infinitesimal similarity renewal method of finding exact answers of nonlinear partial differential equatings widely using in Theoretical Physics and Fluid Dynamics .The disadvantages of this method is, limited to a class of particular solutions and there can exist other particular answers outside this class . So, in most cases Lie’s continuous small similarity revolution method fails to get general solutions of nonlinear incomplete differential equations.

Author(s) Details:

B. V. Baby,
3/88, Jadkal Post, Udupi District, Karnataka State, 576 233, India.

Please see the link here: https://stm.bookpi.org/RATMCS-V5/article/view/12213