A NEW APPROACH TO SOLVE DIFFERENTIAL EQUATIONS ARISING IN FLUID MECHANICS

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TOWSYFYAN H.; SALEHI S.A.A.; DAVOUDI GH.; BAHMANPOUR M.

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Paper Information

Journal: INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION Year:2013 | Volume:3 | Issue:2 Page(s): 115-124

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Information Journal Paper

Title

A NEW APPROACH TO SOLVE DIFFERENTIAL EQUATIONS ARISING IN FLUID MECHANICS

Author(s)

TOWSYFYAN H. | SALEHI S.A.A. | DAVOUDI GH. | BAHMANPOUR M. | Issue Writer Certificate

Keywords

BLASIUS EQUATION

IMPERIALIST COMPETITIVE ALGORITHM

VARIATIONAL ITERATION METHOD

Abstract

The purpose of this study is to demonstrate the potential of IMPERIALIST COMPETITIVE ALGORITHM (ICA) for solving Blasius differential equation. This algorithm is inspired by competition mechanism among Imperialists and colonies and has demonstrated excel- lent capabilities such as simplicity, accuracy, faster convergence and better global optimum achievement in contrast to other evolutionary algorithms. To validate the proposed approach, the results of ICA were finally compared with exact solution of VARIATIONAL ITERATION METHOD (VIM). Based on the results, current method can be easily extended to solve a wide range of problems.

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APA: Copy

TOWSYFYAN, H., SALEHI, S.A.A., DAVOUDI, GH., & BAHMANPOUR, M.. (2013). A NEW APPROACH TO SOLVE DIFFERENTIAL EQUATIONS ARISING IN FLUID MECHANICS. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, 3(2), 115-124. SID. https://sid.ir/paper/328295/en

Vancouver: Copy

TOWSYFYAN H., SALEHI S.A.A., DAVOUDI GH., BAHMANPOUR M.. A NEW APPROACH TO SOLVE DIFFERENTIAL EQUATIONS ARISING IN FLUID MECHANICS. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION[Internet]. 2013;3(2):115-124. Available from: https://sid.ir/paper/328295/en

IEEE: Copy

H. TOWSYFYAN, S.A.A. SALEHI, GH. DAVOUDI, and M. BAHMANPOUR, “A NEW APPROACH TO SOLVE DIFFERENTIAL EQUATIONS ARISING IN FLUID MECHANICS,” INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, vol. 3, no. 2, pp. 115–124, 2013, [Online]. Available: https://sid.ir/paper/328295/en

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