Boubaker polynomial approach for solving high-order linear differential-difference equations

Akkaya T., Yalçinbaş S.

9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2012, Vienna, Austria, 10 - 14 July 2012, vol.1493, pp.26-33, (Full Text) identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1493
  • Doi Number: 10.1063/1.4765464
  • City: Vienna
  • Country: Austria
  • Page Numbers: pp.26-33
  • Keywords: Differential-difference equation, Boubaker series and polynomials, Boubaker matrix method, Polynomial approximations
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

A numerical method is applied to solve the pantograph equation with proportional delay under the mixed conditions. The method is based on first taking the truncated Boubaker series of the functions in the differential-difference equations and then substituting their matrix forms into the equation. Hence, the result matrix equation can be solved and the unknown Boubaker coefficients can be found approximately. The solution is obtained in terms of Boubaker polynomials. Also, illustrative examples are included to demonstrate the validity and applicability of the technique. The results obtained are compared by the known results. © 2012 American Institute of Physics.