Jñānābha‎, Vol. 50 (2) (2020), (106-113)

COMPARATIVE STUDY OF WAVELET METHODS FOR SOLVING BERNOULLI’S EQUATIONS

 

By

Inderdeep Singh and Manbir Kaur

Department of Physical Sciences

Sant Baba Bhag Singh University, Jalandhar-144030, Punjab, India

Email: inderdeeps.ma.12@gmail.com, manbirkaur.231@gmail.com

(Received : June 19, 2020 ; Revised: October 03, 2020)

 

A comparative study of two numerical techniques is presented for solving nonlinear differential equations of the Bernoulli’s type. Proposed techniques are based on the conversion of nonlinear differential equations into linear differential equations by substituting particular factor and utilization of Haar wavelet collocation method (HWCM) and Hermite wavelet collocation method (HeWCM) to these linear equations. Searching for numerical solutions of such equations has attracted a considerable amount of research work where computer symbolic systems facilitate the computational work.

 

2010 Mathematics Subject Classifications: 65N99

Keywords and phrases: Haar wavelets, Hermite wavelets, Bernoulli’s equation, Function approximation, Numerical examples.