Diferansiyel fark denklemlerinin Laguerre sıralama yöntemi ile nümerik çözümleri

Year 2011, Volume: 27 Issue: 1, 75 - 87, 01.02.2011

Burcu Gürbüz Mustafa Gülsu Mehmet Sezer

Abstract

Bu çalışmada m.mertebeden değişken katsayılı lineer diferansiyel fark denklemlerinin karışık koşullar altında Laguerre polinomları ile numerik çözümleri verilmiştir. Burada önerilen yöntem Laguerre sıralama yönteminin genelleştirilmiş halidir. Yöntemin hassasiyetini belirtmek için örnekler verilmiş ve bulunan sonuçlar tartışılmıştır.

Keywords

Laguerre polinomları ve serileri, Laguerre polinom çözümleri, diferansiyel fark denklemleri, Laguerre sıralama yöntemi

Numerical solution of differential difference equations by Laguerre collocation method

Abstract

This paper presents a numerical method for the approximate solution of mth-order linear differential difference equations with variable coefficients under the mixed conditions in terms of Laguerre polynomials. The technique we have used is an improved Laguerre collocation method. In addition, examples that illustrate the pertinent features of the method are presented and the results of study are discussed.

Keywords

Laguerre polynomials and series, Laguerre polynomial solutions, differential-difference equations, Laguerre collocation method

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