EN
TR
A Numerical Approach Based on Exponential Polynomials for solving of Fredholm Integro-Differential-Difference Equations
Abstract
In this study, a matrix method based on exponential polynomials by means of collocation points is proposed to solvethe higher-order linear Fredholm integro-differential-difference equations under the initial-boundary conditions. In addition, an erroranalysis technique based on residual function is developed for our method. Illustrative examples are included to demostrate the validityand applicability of the presented technique
Keywords
Kaynakça
- S.Yalc¸ınbas¸, M.Sezer, The approximate solution of high-order linear Voltera-fredholm Integro-Differential equations in term of Taylor Polynomials, Apply. Math. Comput., 112, 291-308, 2000.
- W.Wang, An Algorithm for solving the high-order nonlinear Voltera-fredholm Integro-Differential equations with mechanization, Apply. Math. Comput., 172, 1-23, 2006.
- Y.Ben, B. Zhang, H. Qiao, A simple Taylor series expansion method for a class of second kind integral equations, J. Comp Appl. Math., 110, 15-24, 1999.
- K. Maleknejad, Y. Mahmoud, Numerical solution of linear Fredholm Integral Equations by using hybrid Taylor and block-pulse functions, Apply. Math. Comput., 149, 799-806, 2004.
- M.T. Rashed, Numerical solution of functional differential, integral and integro-differential equations, Appl. Numer. Math., 156, 485-492, 2004.
- W.Wang, C. Lin, A new algorithm for integral of trigonometric functions with mechanization, Apply. Math. Comput., 164(1), 71-82, 2005.
- M.Sezer, M.G¨ulsu, A new polynomial approach for solving difference and Fredholm integro-differential equations with mixed argument, Apply. Math. Comput., 171, 332-344, 2005.
- S.Yalc¸ınbas¸, M.Sezer, H.H. Sorkun, Legendre polynomial solutions of high-order linear Fredholm integro-differential equations, Apply. Math. Comput., 210, 334-349, 2009.
Ayrıntılar
Birincil Dil
Türkçe
Konular
-
Bölüm
-
Yayımlanma Tarihi
19 Ocak 2015
Gönderilme Tarihi
13 Mart 2015
Kabul Tarihi
-
Yayımlandığı Sayı
Yıl 2015 Cilt: 3 Sayı: 2
APA
Balci, M., & Sezer, M. (2015). Mehmet Ali Balci1and Mehmet Sezer2. New Trends in Mathematical Sciences, 3(2), 44-54. https://izlik.org/JA45SS36XJ
AMA
1.Balci M, Sezer M. Mehmet Ali Balci1and Mehmet Sezer2. New Trends in Mathematical Sciences. 2015;3(2):44-54. https://izlik.org/JA45SS36XJ
Chicago
Balci, Mehmet, ve Mehmet Sezer. 2015. “Mehmet Ali Balci1and Mehmet Sezer2”. New Trends in Mathematical Sciences 3 (2): 44-54. https://izlik.org/JA45SS36XJ.
EndNote
Balci M, Sezer M (01 Ocak 2015) Mehmet Ali Balci1and Mehmet Sezer2. New Trends in Mathematical Sciences 3 2 44–54.
IEEE
[1]M. Balci ve M. Sezer, “Mehmet Ali Balci1and Mehmet Sezer2”, New Trends in Mathematical Sciences, c. 3, sy 2, ss. 44–54, Oca. 2015, [çevrimiçi]. Erişim adresi: https://izlik.org/JA45SS36XJ
ISNAD
Balci, Mehmet - Sezer, Mehmet. “Mehmet Ali Balci1and Mehmet Sezer2”. New Trends in Mathematical Sciences 3/2 (01 Ocak 2015): 44-54. https://izlik.org/JA45SS36XJ.
JAMA
1.Balci M, Sezer M. Mehmet Ali Balci1and Mehmet Sezer2. New Trends in Mathematical Sciences. 2015;3:44–54.
MLA
Balci, Mehmet, ve Mehmet Sezer. “Mehmet Ali Balci1and Mehmet Sezer2”. New Trends in Mathematical Sciences, c. 3, sy 2, Ocak 2015, ss. 44-54, https://izlik.org/JA45SS36XJ.
Vancouver
1.Mehmet Balci, Mehmet Sezer. Mehmet Ali Balci1and Mehmet Sezer2. New Trends in Mathematical Sciences [Internet]. 01 Ocak 2015;3(2):44-5. Erişim adresi: https://izlik.org/JA45SS36XJ