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The Solution of Linear Volterra Integral Equation of the First Kind with ZZ- Transform

Cilt: 6 Sayı: 3 30 Aralık 2021
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EN

The Solution of Linear Volterra Integral Equation of the First Kind with ZZ- Transform

Öz

In this paper, we apply ZZ- transform to solve linear Volterra integral equation of the first kind. The several examples solve by ZZ- Transform. This means that ZZ- transform is a powerful tool for solving linear Volterra integral equations of the first kind. The Convolution theorem for the ZZ- transform has been proved. ZZ- transform for the solution of linear Volterra integral equation of the first kind submitted in application section of this paper, some applications are given to demostrate the effectiveness of proposed scheme.

Anahtar Kelimeler

Kaynakça

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  2. [2] Aggarwal S., Singh A., Kumar A., et al. Application of Laplace transform for solving improper integrals whose integrand consisting error function. Journal of Advanced Research in Applied Mathematics and Statistics, 4(2): 1-7, 2019.
  3. [3] Aboodh KS., Farah RA., Almardy IA et al. Solving delay differential equations by Aboodh transformation method. International Journal of Applied Mathematics & Statistical Sciences, 7(2): 55-64, 2018.
  4. [4] Eltayeb H., and Kilicman A., A Note on the Sumudu Transforms and differential Equations, Applied Mathematical Sciences, Volume 4, no.22,1089-1098, 2010.
  5. [5] Tarig M. Elzaki, The New Integral Transform “Elzaki Transform” Global Journal of Pure and Applied Mathematics, ISSN 0973-1768, Number 1, pp. 57-64, 2011.
  6. [6] Aggarwal S, Chauhan R, and Sharma N., A new application of Kamal transform for solving linear Volterra integral equations. International Journal of Latest Technology in Engineering, Management & Applied Science , 7(4): 138-140, 2018.
  7. [7] Mohand M. Abdelrahim M., and Tarig M. E., Elzaki Transform And Power Series Expansion On A Bulge Heaviside Step Function, Global Journal of Pure and Applied Mathematics. ISSN 0973-1768 Volume 11, Number 3, pp. 1179-1184, 2015.
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Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Aralık 2021

Gönderilme Tarihi

8 Kasım 2021

Kabul Tarihi

1 Aralık 2021

Yayımlandığı Sayı

Yıl 2021 Cilt: 6 Sayı: 3

Kaynak Göster

APA
Celık, E., Şener, S. Ş., & Özdemir, E. (2021). The Solution of Linear Volterra Integral Equation of the First Kind with ZZ- Transform. Turkish Journal of Science, 6(3), 127-133. https://izlik.org/JA28XC73CB
AMA
1.Celık E, Şener SŞ, Özdemir E. The Solution of Linear Volterra Integral Equation of the First Kind with ZZ- Transform. TJOS. 2021;6(3):127-133. https://izlik.org/JA28XC73CB
Chicago
Celık, Ercan, Sıdıka Şule Şener, ve Erhan Özdemir. 2021. “The Solution of Linear Volterra Integral Equation of the First Kind with ZZ- Transform”. Turkish Journal of Science 6 (3): 127-33. https://izlik.org/JA28XC73CB.
EndNote
Celık E, Şener SŞ, Özdemir E (01 Aralık 2021) The Solution of Linear Volterra Integral Equation of the First Kind with ZZ- Transform. Turkish Journal of Science 6 3 127–133.
IEEE
[1]E. Celık, S. Ş. Şener, ve E. Özdemir, “The Solution of Linear Volterra Integral Equation of the First Kind with ZZ- Transform”, TJOS, c. 6, sy 3, ss. 127–133, Ara. 2021, [çevrimiçi]. Erişim adresi: https://izlik.org/JA28XC73CB
ISNAD
Celık, Ercan - Şener, Sıdıka Şule - Özdemir, Erhan. “The Solution of Linear Volterra Integral Equation of the First Kind with ZZ- Transform”. Turkish Journal of Science 6/3 (01 Aralık 2021): 127-133. https://izlik.org/JA28XC73CB.
JAMA
1.Celık E, Şener SŞ, Özdemir E. The Solution of Linear Volterra Integral Equation of the First Kind with ZZ- Transform. TJOS. 2021;6:127–133.
MLA
Celık, Ercan, vd. “The Solution of Linear Volterra Integral Equation of the First Kind with ZZ- Transform”. Turkish Journal of Science, c. 6, sy 3, Aralık 2021, ss. 127-33, https://izlik.org/JA28XC73CB.
Vancouver
1.Ercan Celık, Sıdıka Şule Şener, Erhan Özdemir. The Solution of Linear Volterra Integral Equation of the First Kind with ZZ- Transform. TJOS [Internet]. 01 Aralık 2021;6(3):127-33. Erişim adresi: https://izlik.org/JA28XC73CB