TY - JOUR
TI - Numerical solutions of a class of nonlinear ordinary differential equations in Hermite series
AU - Guler Coskun
AU - Kaya Saba Ozge
AU - Sezer Mehmet
JN - Thermal Science
PY - 2019
VL - 23
IS - 11
SP - 339
EP - 351
PT - Article
AB - The purpose of this paper is to present a Hermite polynomial approach for  solving a high-order ordinary differential equation with nonlinear terms  under mixed conditions. The method we used is a matrix method based on  collocation points together with truncated Hermite series and reduces the  solution of equation to solution of a matrix equation which corresponds to a  system of nonlinear algebraic equations with unknown Hermite coefficients.  In addition, to illustrate the validity and applicability of the method,  some numerical examples together with residual error analysis are performed  and the obtained results are compared with the existing result in  literature.