Open AccessApproximate solution of nonlinear differential system with time variation
Author(s) -
Rezaul Karim,
Pinakee Dey,
Saikh Shahjahan Miah
Publication year - 2021
Publication title -
journal of bangladesh academy of sciences
Language(s) - English
Resource type - Journals
eISSN - 2224-7270
pISSN - 0378-8121
DOI - 10.3329/jbas.v44i2.51456
Subject(s) - nonlinear system , matlab , variation (astronomy) , perturbation (astronomy) , computer science , differential (mechanical device) , software , mathematics , variation of parameters , differential equation , mathematical optimization , algorithm , mathematical analysis , physics , engineering , aerospace engineering , quantum mechanics , astrophysics , programming language , operating system
this paper develops a reliable algorithm based on the general Struble’s technique and extended KBM method for solving nonlinear differential systems. Moreover, we find a solution based on the KBM and general Struble’s technique of nonlinear autonomous systems with time variation, which is more powerful than the existing perturbation method. Finally, results are discussed, primarily to enrich the physical prospects, and shown graphically by utilizing MATHEMATICA and MATLAB software.
Journal of Bangladesh Academy of Sciences, Vol. 44, No. 2, 121-130, 2020