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The solution of the blasius equation by the differential transformation method

โœ Scribed by Yu Lien-Tsai; Chen Cha'o-Kuang


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
545 KB
Volume
28
Category
Article
ISSN
0895-7177

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โœฆ Synopsis


Blssius equation of boundary layer flow is a third-order nonlinear differential equation. We solved the equation using the differential transformation method. It offered not only the numerical values, but also the power series close-form solutions. The results prove that the differential transformation method is one of the powerful techniques for nonlinear problems.


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## a b s t r a c t In this study, differential transform method (DTM) is applied to both integro-differential and integral equation systems. The method is further expanded with a formulation to treat Fredholm integrals. If the system considered has a solution in terms of the series expansion of kno