2015
DOI: 10.12988/ams.2015.411968
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Modification of Sumudu transform "Elzaki transform" and adomian decomposition method

Abstract: In present paper Adomian decomposition method has been used to compute modified of Sumudu transform (Elzaki transform) of some functions. The solution is found in the form of convergent power series with easily computed components. The method is based on the Elzaki transform and Adomian decomposition method and is quite easy and fast to compute Elzaki transform.

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Cited by 25 publications
(28 citation statements)
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“…The Elzaki transform [7], [8], [11], [12], [13], [14], [15], [16], [17] is defined for functions of exponential order [13]. Consider the functions in the set A define below…”
Section: Properties Of Elzaki Transformmentioning
confidence: 99%
“…The Elzaki transform [7], [8], [11], [12], [13], [14], [15], [16], [17] is defined for functions of exponential order [13]. Consider the functions in the set A define below…”
Section: Properties Of Elzaki Transformmentioning
confidence: 99%
“…If this factor β is positive, we deal with a nonlinear spring hardening system, if β is negative, it is a spring softening system. Unfortunately, such a system cannot be examined using the Laplace or Laplace-like transformation, such as [6], as this transformation can deal only with linear functions, respectively, nonlinear quadratic functions. For solving this nonlinear so-called Duffing DE, there are several methods available, such as averaging method or the harmonic balancing method.…”
Section: Nonlinear Single Degree Of Freedom Systemsmentioning
confidence: 99%
“…Recently, Tarig Elzaki [5] introduced a new integral transform, called Elzaki transform, which is applied to solve an ordinary and partial di¤eren-tial equations.…”
Section: Introductionmentioning
confidence: 99%
“…These equations describe the evolution of erratic motions of small particles that are immersed in ‡uids, ‡uctuations of the intensity of laser light, velocity distributions of ‡uid particles in turbulent ‡ows. [4], [5] de…ned for functions of exponential order, is proclaimed. We consider functions in the set A de…ned by,…”
Section: Introductionmentioning
confidence: 99%