Solving Ordinary differential equations with variable coefficients
ZZ transform, whose fundamental properties are presented in this paper, is still not widely known, nor used, ZZ transform may be used to solve problems without resorting to a new frequency domain . In this paper, we use ZZ Transform to solve Ordinary Differential equations with variable coefficients. The result reveals that the proposed method is very efficient, simple and can be applied to linear and nonlinear differential equations.
J.W. Miles, Integral Transforms in Applied Mathematics, Cambridge: Cambridge University Press, 1971.
LokenathDebnath and D. Bhatta. Integral transform and their Application second Edition, Chapman & Hall /CRC (2006).
Hassan Eltayeb and Ademkilicman, A Note on the Sumudu Transforms and differential Equations, Applied Mathematical Sciences, VOL, 4,2010, no.22,1089-1098.
Tarig M. Elzaki, (2011), The New Integral Transform “Elzaki Transform” Global Journal of Pure and Applied Mathematics, ISSN 0973-1768, Number 1, pp. 57-64.
Abdelbagy A. Alshikh and Mohand M. AbdelrahimMahgoub, “A Comparative Study Between Laplace Transform and Two New Integrals “ELzaki” Transform and “Aboodh” Transform,” Pure and Applied Mathematics Journal2016; 5(5): 145-150.
Mohand M. AbdelrahimMahgob and Tarig M. Elzaki “ Solution of Partial Integro-Differential Equations by Elzaki Transform Method” Applied Mathematical Sciences, Vol. 9, 2015, no. 6, 295 – 303.
K. S. Aboodh, The New Integral Transform “Aboodh Transform” Global Journal of pure and Applied Mathematics, 9(1), 35-43(2013).
Mohand M. AbdelrahimMahgob and Abdelbagy A. Alshikh “On The Relationship Between Aboodh Transform and New Integral Transform " ZZ Transform” , Mathematical Theory and Modeling , Vol.6, No.9, 2016.
Abdelilah K. Hassan Sedeeg and Mohand M. AbdelrahimMahgoub, “ Aboodh Transform Homotopy Perturbation Method For Solving System Of Nonlinear Partial Differential Equations,” Mathematical Theory and Modeling Vol.6, No.8, 2016,
ZainUlAbadinZafar, ZZ Transform method, IJAEGT, 4(1), 1605-1611, Jan (2016)..
ZainUlAbadinZafar, M.O. Ahmad, A. Pervaiz, Nazir Ahmad: ZZ Fourth Order Compact BVM for the Equation of Lateral Heat Loss ,Pak. J. Engg. & Appl. Sci. Vol. 11, July., 2012 (p. 96-103)
Zafar, H. Khan, Waqar. A. Khan, N-Transform- Properties and Applications, NUST Jour. Of Engg. Sciences, 1(1):127-133, 2008.
ZainUlAbadinZafar, et al., Solution of Burger’s Equation with the help of Laplace Decomposition method. Pak. J. Engg. & Appl. Sci. 12: 39-42, 2013.
Copyright (c) 2016 Journal of Progressive Research in Mathematics
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
TRANSFER OF COPYRIGHT
JPRM is pleased to undertake the publication of your contribution to Journal of Progressive Research in Mathematics.
The copyright to this article is transferred to JPRM(including without limitation, the right to publish the work in whole or in part in any and all forms of media, now or hereafter known) effective if and when the article is accepted for publication thus granting JPRM all rights for the work so that both parties may be protected from the consequences of unauthorized use.