Düzce Üniversitesi Bilim ve Teknoloji Dergisi (Jan 2016)

Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error Estimation

  • Bengü Türkyılmaz,
  • Burcu Gürbüz,
  • Mehmet Sezer

Journal volume & issue
Vol. 4, no. 1
pp. 252 – 263

Abstract

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The main aim of this study is to apply the Morgan-Voyce polynomials for the solution of high-order linear differential difference equations with functional arguments under initial boundary conditions. The technique we have used is essentially based on the truncated Morgan-Voyce series and its matrix representations along with collocation points. Also, by using the Mean-Value Theorem and residual function, an efficient error estimation technique is proposed and some illustrative examples are presented to demonstrate the validity and applicability of the method.

Keywords