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M. Sezer, B. Tanay and M. Güsu, “Numerical Solution of a Class of Complex Differential Equations by the Taylor Collocation Method in Elliptic Domains,” Numerical Methods for Partial Differential Equations, Vol. 26, No. 5, 2010, pp. 1191-1205.

has been cited by the following article:

• 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.