Open AccessSolving Some Differential Equations Arising in Electric Engineering Using Hermite Polynomials
Author(s) -
Gurkirat Singh,
I.V. Singh
Publication year - 2020
Publication title -
journal of scientific research
Language(s) - English
Resource type - Journals
eISSN - 2070-0245
pISSN - 2070-0237
DOI - 10.3329/jsr.v12i4.45686
Subject(s) - hermite polynomials , orthogonal collocation , mathematics , collocation (remote sensing) , algebraic equation , collocation method , mathematical analysis , differential equation , algebra over a field , pure mathematics , computer science , ordinary differential equation , nonlinear system , physics , machine learning , quantum mechanics
In this paper, a collocation method based on Hermite polynomials is presented for the numerical solution of the electric circuit equations arising in many branches of sciences and engineering. By using collocation points and Hermite polynomials, electric circuit equations are transformed into a system of linear algebraic equations with unknown Hermite coefficients. These unknown Hermite coefficients have been computed by solving such algebraic equations. To illustrate the accuracy of the proposed method some numerical examples are presented.