Nonlinear Differential Equations and Mixture of Tarig Transform and Differential Transform Method
Abstract
In this paper, we apply a new integral transform ''Tarig transform'' with the differential transform method to solve some nonlinear differential equations. The method is based on Tarig transform and differential transform methods. The nonlinear terms can be easily handled by the use of differential transform method
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References
S. lslam, Yasir Khan, Naeem Faraz and Francis Austin, Numerical Solution of Logistic Differential Equations by using the Laplace Decomposition Method, World Applied Sciences Journal 8 (9) :1100-1105,2010.
Nuran Guzel and Muhammet Nurulay,Solution of Shiff Systems By using Differential Transform Method, Dunlupinar universities Fen Bilimleri Enstitusu Dergisi, 2008 ISSN 1302-3055, PP. 49-59.
Shin- Hsiang Chang , I-Ling Chang, A new algorithm for calculating one – dimensional differential transform of nonlinear functions, Applied Mathematics and Computation 195 (2008) 799-808.
Tarig M. Elzaki, The New Integral Transform “Elzaki Transform” Global Journal of Pure and Applied Mathematics, ISSN 0973-1768,Number 1(2011), pp. 57-64.
Tarig M. Elzaki & Salih M. Elzaki, Application of New Transform “Elzaki Transform” to Partial Differential Equations, Global Journal of Pure and Applied Mathematics, ISSN 0973-1768,Number 1(2011), pp. 65-70.
Tarig M. Elzaki & Salih M. Elzaki, On the Connections Between Laplace and Elzaki transforms, Advances in Theoretical and Applied Mathematics, ISSN 0973-4554 Volume 6, Number 1(2011),pp. 1-11.
Tarig M. Elzaki & Salih M. Elzaki, On the Elzaki Transform and Ordinary Differential Equation With Variable Coefficients, Advances in Theoretical and Applied Mathematics. ISSN 0973-4554 Volume 6, Number 1(2011),pp. 13-18.
Tarig M. Elzaki, and Salih M. Elzaki, (2011), on the new integral Transform 'Tarig Transform' and Systems of Ordinary Differential Equations. Applied Mathematics, Elixir Appl. Math. 36, 3226-3229.
Tarig M. Elzaki, and Salih M. Elzaki, (2011), on the relationship between Laplace Transform and new integral transform Tarig Transform'. Applied Mathematics, Elixir Appl. Math. 36 , 3230-3233.
Tarig M. Elzaki, and Salih M. Elzaki, (2011), On the Tarig Transform and ordinary differential equation with variable coefficients, Applied Mathematics, Elixir Appl. Math. 38, 4250-4252.
Tarig M. Elzaki, and Salih M. Elzaki, (2011), the new integral transform "Tarig Transform" Properties and applications to differential equations, Applied Mathematics, Elixir Appl. Math. 38 , 4239-4242.
Tarig M. Elzaki, and Salih M. Elzaki, (2012), Application of new transform "tarig transform" to partial differential equations, Applied Mathematics, Elixir Appl. Math. 42, 6369-6372.
Tarig M. Elzaki, and Salih M. Elzaki, (2012), On the Tarig transform and system of partial differential equations, Applied Mathematics, Elixir Appl. Math. 42, 6373-6376.
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