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...
متن کاملSOLVING 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...
متن کاملNumerical quasilinearization scheme for the integral equation form of the Blasius equation
The method of quasilinearization is an effective tool to solve nonlinear equations when some conditions on the nonlinear term of the problem are satisfied. When the conditions hold, applying this technique gives two sequences of coupled linear equations and the solutions of these linear equations are quadratically convergent to the solution o...
متن کاملOn the Concave Solutions of the Blasius Equation
The Blasius equation is an autonomous, third order, nonlinear differential equation, which results from an appropriate substitution in boundary layer equations. We study in details the concave solutions of initial value problems involving this equation, and apply our results to solve a related boundary value problem
متن کاملOn the Darboux Integrability of Blasius and Falkner–skan Equation
We study the Darboux integrability of the celebrated Falkner– Skan equation f ′′′+ff ′′+λ(1−f ′2) = 0, where λ is a parameter. When λ = 0 this equation is known as Blasius equation. We show that both differential systems have no first integrals of Darboux type. Additionally we compute all the Darboux polynomials and all the exponential factors of these differential equations.
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2008
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2007.06.019