Solving systems of high-order linear differential– difference equations via Euler matrix method
Mirzaee, F., Bimesl, S. (2015). Solving systems of high-order linear differential– difference equations via Euler matrix method. EKB Journal Management System, 23(2), 286-291. doi: 10.1016/j.joems.2014.05.003
Farshid Mirzaee; Saeed Bimesl. "Solving systems of high-order linear differential– difference equations via Euler matrix method". EKB Journal Management System, 23, 2, 2015, 286-291. doi: 10.1016/j.joems.2014.05.003
Mirzaee, F., Bimesl, S. (2015). 'Solving systems of high-order linear differential– difference equations via Euler matrix method', EKB Journal Management System, 23(2), pp. 286-291. doi: 10.1016/j.joems.2014.05.003
Mirzaee, F., Bimesl, S. Solving systems of high-order linear differential– difference equations via Euler matrix method. EKB Journal Management System, 2015; 23(2): 286-291. doi: 10.1016/j.joems.2014.05.003

Solving systems of high-order linear differential– difference equations via Euler matrix method

Journal of the Egyptian Mathematical Society
Volume 23, Issue 2, 2015, Page 286-291  XML PDF (423.05 K)
Document Type: Original Article
DOI: 10.1016/j.joems.2014.05.003
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Authors
Farshid Mirzaee* ; Saeed Bimesl
Department of Mathematics, Faculty of Science, Malayer University, Malayer, Iran
Abstract
This paper contributes a new matrix method for solving systems of high-order linear differential–difference equations with variable coefficients under given initial conditions. On the basis
of the presented approach, the matrix forms of the Euler polynomials and their derivatives are constructed, and then by substituting the collocation points into the matrix forms, the fundamental
matrix equation is formed. This matrix equation corresponds to a system of linear algebraic equations. By solving this system, the unknown Euler coefficients are determined. Some illustrative
examples with comparisons are given. The results demonstrate reliability and efficiency of the proposed method.
Keywords
Differential–difference equation; Collocation points; Polynomial solutions
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