A Neural Network Study of Blasius Equation
نویسندگان
چکیده
منابع مشابه
The Blasius equation
The Blasius problem f ′′′ + ff ′′ = 0, f(0) = −a, f ′(0) = b, f ′(+∞) = λ is investigated, in particular in the difficult and scarcely studied case b < 0 λ. The shape and the number of solutions are determined. The method is first to reduce to the Crocco equation uu′′ + s = 0 and then to use an associated autonomous planar vector field. The most useful properties of Crocco solutions appear to b...
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An integrated Neural Network and Gravitational Search Algorithm (HNNGSA) are used to solve Blasius differential equation. To aim this purpose, GSA technique is applied to train a multi-layer perceptron neural network, which is used as approximation solution of the Blasius differential equation. A trial solution of the differential equation is written as sum of two parts. The first part satisfie...
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SOLVING BLASIUS EQUATION USING IMPERIALIST COMPETITIVE ALGORITHM
In this study, a new approach isintroduced to solve Blasius differential equation using of ImperialistCompetitive Algorithm (ICA). This algorithm is inspired by competitionmechanism among Imperialists and colonies and has demonstrated excellent capabilitiessuch as simplicity, accuracy, faster convergence and better global optimumachievement in contrast to other evolutionary algorithms. The obta...
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ژورنال
عنوان ژورنال: Neural Processing Letters
سال: 2020
ISSN: 1370-4621,1573-773X
DOI: 10.1007/s11063-019-10184-9