Direct Integration of Systems of Linear Differential and Difference Equations

Anarkül URDALETOVA

Traditionally the Euler method is used for solving systems of linear differential equations. The method is based on the use of eigenvalues of a system's coefficients matrix. Another method to solve those systems is the D'Alembert integrable combination method. In this paper, we present a new method for solving systems of linear differential and difference equations. The main idea of the method is using the coefficients matrix eigenvalues to find integrable combinations of system variables. This method is particularly advantageous when nonhomogeneous systems are considered.

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Solution of the Rational Difference Equation xn+1 = xn-17/1+xn-5.xn-11

Dağıstan ŞİMŞEK | Burak OĞUL

In this paper, solution of the following difference equation is examined x(n+1) = x(n-17)/1+x(n-5).x(n-11) where the initial conditions are positive reel numbers.

Konferans Bildirisi 2019 Fen Fakültesi Filomat33 ( 5 ) 127 Görüntülenme

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Filtreler

Koleksiyon [1]

Araştırmacılar [3]

BM Sürdürülebilir Kalkınma [2]

Fakültesi / Enstitütü [1]

Yayın Türü [1]

Yayımlanma Yılı [1]

Dil [1]

Kaynak [1]

Veri Tabanları [3]

İndex Türü [2]

Yayıncı [1]

Bölümü [2]

Ulusal/Uluslararası [1]

Konu Başlıkları [4]

Direct Integration of Systems of Linear Differential and Difference Equations

Anarkül URDALETOVA

Solution of the Rational Difference Equation xn+1 = xn-17/1+xn-5.xn-11

Dağıstan ŞİMŞEK | Burak OĞUL