Open AccessA New Application of Hermite Collocation Method
Author(s) -
Chandrali Baishya
Publication year - 2019
Publication title -
international journal of mathematical, engineering and management sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 10
ISSN - 2455-7749
DOI - 10.33889/ijmems.2019.4.1-016
Subject(s) - hermite polynomials , nonlinear system , collocation method , orthogonal collocation , mathematics , collocation (remote sensing) , basis (linear algebra) , differential equation , mathematical analysis , computer science , ordinary differential equation , geometry , physics , quantum mechanics , machine learning
This paper reflects the advantage of a new approach of using Hermite orthogonal basis elements to solve nonlinear differential equations. This method is based on a successive integration technique. To illustrate the method and to establish the efficiency of the method, it is applied to certain linear and nonlinear differential equations. The obtained numerical results show that the proposed method is a powerful numerical technique to solve nonlinear differential equations.