THE APPROXIMATE SOLUTION OF HIGH-ORDER LINEAR DELAY EQUATIONS WITH VARIABLE COEFFICIENTS IN TERMS OF SHIFTED CHEBYSHEV POLYNOMIALS

Cilt: 3 Sayı: 2 11 Mart 2014
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THE APPROXIMATE SOLUTION OF HIGH-ORDER LINEAR DELAY EQUATIONS WITH VARIABLE COEFFICIENTS IN TERMS OF SHIFTED CHEBYSHEV POLYNOMIALS

Öz

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

Anahtar Kelimeler

Kaynakça

  1. Arıkoglu, A. and Özkol, I., (2006). Solution of difference equations by using differential transform method, Appl. Math.Comput. 174,1216–1228.
  2. Derfel, D. (1980). On compactly supported solutions of a class of functional- differential Equations, in “Modern Problems of Function Theory and Functional Analysis”, Karaganta Univ. Press.
  3. El-Safty, A. and Abo-Hasha, S.M. (1990). On the application of spline functions to initial value problems with retarded argument, Int. J. Comput. Math. 32,173-179.
  4. El-Safty, A., Salim, M.S. and El-Khatib, M.A. (2003). Convergence of the spline function for delay dynamic system, Int. J. Comput. Math. 80,4, 509-518.
  5. Fox, L., Mayers, D.F., Ockendon, J.R. and Tayler,A.B.,(1971). On a functional differential equation, J. Inst. Math. Appl. 8,271–307.
  6. Gulsu,M. and Sezer,M. (2005). A method for the approximate solution of the high-order linear difference equations in terms of Taylor polynomials, Int. J. Comput. Math. 82,5,629-642.
  7. Gulsu, M. and Sezer, M., (2005). Polynomial solution of the most general linear Fredholm integrodifferential-difference equations by means of Taylor matrix method, Complex Variables,50,5,367-382.
  8. Kanwal,R.P.,Liu, K.C. (1989). A Taylor expansion approach for solving integral equation. Int. J.Math.Educ.Sci.Technol.20,3,411-414

Ayrıntılar

Birincil Dil

Türkçe

Konular

-

Bölüm

-

Yayımlanma Tarihi

11 Mart 2014

Gönderilme Tarihi

11 Mart 2014

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2010 Cilt: 3 Sayı: 2

Kaynak Göster

APA
Gülsu, M., Öztürk, Y., & Sezer, M. (2014). THE APPROXIMATE SOLUTION OF HIGH-ORDER LINEAR DELAY EQUATIONS WITH VARIABLE COEFFICIENTS IN TERMS OF SHIFTED CHEBYSHEV POLYNOMIALS. Erzincan University Journal of Science and Technology, 3(2), 163-180. https://izlik.org/JA87PY45DE
AMA
1.Gülsu M, Öztürk Y, Sezer M. THE APPROXIMATE SOLUTION OF HIGH-ORDER LINEAR DELAY EQUATIONS WITH VARIABLE COEFFICIENTS IN TERMS OF SHIFTED CHEBYSHEV POLYNOMIALS. Erzincan University Journal of Science and Technology. 2014;3(2):163-180. https://izlik.org/JA87PY45DE
Chicago
Gülsu, Mustafa, Yalçın Öztürk, ve Mehmet Sezer. 2014. “THE APPROXIMATE SOLUTION OF HIGH-ORDER LINEAR DELAY EQUATIONS WITH VARIABLE COEFFICIENTS IN TERMS OF SHIFTED CHEBYSHEV POLYNOMIALS”. Erzincan University Journal of Science and Technology 3 (2): 163-80. https://izlik.org/JA87PY45DE.
EndNote
Gülsu M, Öztürk Y, Sezer M (01 Mart 2014) THE APPROXIMATE SOLUTION OF HIGH-ORDER LINEAR DELAY EQUATIONS WITH VARIABLE COEFFICIENTS IN TERMS OF SHIFTED CHEBYSHEV POLYNOMIALS. Erzincan University Journal of Science and Technology 3 2 163–180.
IEEE
[1]M. Gülsu, Y. Öztürk, ve M. Sezer, “THE APPROXIMATE SOLUTION OF HIGH-ORDER LINEAR DELAY EQUATIONS WITH VARIABLE COEFFICIENTS IN TERMS OF SHIFTED CHEBYSHEV POLYNOMIALS”, Erzincan University Journal of Science and Technology, c. 3, sy 2, ss. 163–180, Mar. 2014, [çevrimiçi]. Erişim adresi: https://izlik.org/JA87PY45DE
ISNAD
Gülsu, Mustafa - Öztürk, Yalçın - Sezer, Mehmet. “THE APPROXIMATE SOLUTION OF HIGH-ORDER LINEAR DELAY EQUATIONS WITH VARIABLE COEFFICIENTS IN TERMS OF SHIFTED CHEBYSHEV POLYNOMIALS”. Erzincan University Journal of Science and Technology 3/2 (01 Mart 2014): 163-180. https://izlik.org/JA87PY45DE.
JAMA
1.Gülsu M, Öztürk Y, Sezer M. THE APPROXIMATE SOLUTION OF HIGH-ORDER LINEAR DELAY EQUATIONS WITH VARIABLE COEFFICIENTS IN TERMS OF SHIFTED CHEBYSHEV POLYNOMIALS. Erzincan University Journal of Science and Technology. 2014;3:163–180.
MLA
Gülsu, Mustafa, vd. “THE APPROXIMATE SOLUTION OF HIGH-ORDER LINEAR DELAY EQUATIONS WITH VARIABLE COEFFICIENTS IN TERMS OF SHIFTED CHEBYSHEV POLYNOMIALS”. Erzincan University Journal of Science and Technology, c. 3, sy 2, Mart 2014, ss. 163-80, https://izlik.org/JA87PY45DE.
Vancouver
1.Mustafa Gülsu, Yalçın Öztürk, Mehmet Sezer. THE APPROXIMATE SOLUTION OF HIGH-ORDER LINEAR DELAY EQUATIONS WITH VARIABLE COEFFICIENTS IN TERMS OF SHIFTED CHEBYSHEV POLYNOMIALS. Erzincan University Journal of Science and Technology [Internet]. 01 Mart 2014;3(2):163-80. Erişim adresi: https://izlik.org/JA87PY45DE