TITLE:
Hermite Matrix Polynomial Collocation Method for Linear Complex Differential Equations and Some Comparisons
AUTHORS:
Mina Bagherpoorfard, Fahime Akhavan Ghassabzade
KEYWORDS:
Approximate Solution; Collocation Methods; Complex Differential Equations; Hermite Polynomials;Operational Matrix
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.1 No.5,
October
23,
2013
ABSTRACT:
In this paper, we introduce a Hermite operational matrix
collocation method for solving higher-order linear complex differential
equations in rectangular or elliptic domains. We show that based on a linear
algebra theorem, the use of different polynomials such as Hermite, Bessel and Taylor in polynomial
collocation methods for solving differential equations leads to an equal
solution, and the difference in the numerical results arises from the
difference in the coefficient matrix of final linear systems of equations. Some
numerical examples will also be given.