A New Approach to Solve Blasius Equation using Parameter Identification of Nonlinear Functions based on the Bees Algorithm (BA)
نویسندگان
چکیده
In this paper, a new approach is introduced to solve Blasius equation using parameter identification of a nonlinear function which is used as approximation function. Bees Algorithm (BA) is applied in order to find the adjustable parameters of approximation function regarding minimizing a fitness function including these parameters (i.e. adjustable parameters). These parameters are determined how the approximation function has to satisfy the boundary conditions. In order to demonstrate the presented method, the obtained results are compared with another numerical method. Present method can be easily extended to solve a wide range of problems. Keywords—Bees Algorithm (BA); Approximate Solutions; Blasius Differential Equation.
منابع مشابه
Parameter Estimation of Loranz Chaotic Dynamic System Using Bees Algorithm
An important problem in nonlinear science is the unknown parameters estimation in Loranz chaotic system. Clearly, the parameter estimation for chaotic systems is a multidimensional continuous optimization problem, where the optimization goal is to minimize mean squared errors (MSEs) between real and estimated responses for a number of given samples. The Bees algorithm (BA) is a new member of me...
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 کاملNew Technique for Global Solar Radiation Forecast using Bees Algorithm (RESEARCH NOTE)
Estimation of solar radiation is the most important parameter for various solar energy systems. Expensive devices are required to achieve the amount of solar radiation for a special region, therefore different models have been proposed by researchers to estimate the solar radiation that obviate using such devices. Nonlinear nature and excessive dependence on the meteorological parameters of the...
متن کاملA NEW APPROACH TO SOLVE DIFFERENTIAL EQUATIONS ARISING IN FLUID MECHANICS
The purpose of this study is to demonstrate the potential of Imperialist CompetitiveAlgorithm (ICA) for solving Blasius dierential equation. This algorithm is inspiredby competition mechanism among Imperialists and colonies and has demonstrated excellentcapabilities such as simplicity, accuracy, faster convergence and better global optimumachievement in contrast to other evolutionary algorithms...
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 کامل