Solving systems of ordinary differential equations using differential evolution algorithm with the best base vector of mutation scheme

2021 ◽  
Author(s):  
Werry Febrianti ◽  
Kuntjoro Adji Sidarto ◽  
Novriana Sumarti
Keyword(s):  
Differential Equations ◽  
Differential Evolution ◽  
Ordinary Differential Equations ◽  
Differential Evolution Algorithm ◽  
Base Vector ◽  
Evolution Algorithm ◽  
Mutation Scheme

Enhanced Directed Differential Evolution Algorithm for Solving Constrained Engineering Optimization Problems

2019 ◽  
Vol 10 (1) ◽  
pp. 1-28 ◽  
Author(s):  
Ali Wagdy Mohamed ◽  
Ali Khater Mohamed ◽  
Ehab Z. Elfeky ◽  
Mohamed Saleh
Keyword(s):  
Differential Evolution ◽  
Optimization Problems ◽  
Differential Evolution Algorithm ◽  
Test Problems ◽  
New Mutation ◽  
De Algorithm ◽  
Engineering Problems ◽  
Evolution Algorithm ◽  
Mutation Scheme ◽  
Exploration Exploitation

The performance of Differential Evolution is significantly affected by the mutation scheme, which attracts many researchers to develop and enhance the mutation scheme in DE. In this article, the authors introduce an enhanced DE algorithm (EDDE) that utilizes the information given by good individuals and bad individuals in the population. The new mutation scheme maintains effectively the exploration/exploitation balance. Numerical experiments are conducted on 24 test problems presented in CEC'2006, and five constrained engineering problems from the literature for verifying and analyzing the performance of EDDE. The presented algorithm showed competitiveness in some cases and superiority in other cases in terms of robustness, efficiency and quality the of the results.

scholarly journals Fuzzy Input Parameters Influence on the Oscillation of a 2D Frame Structure Subjected to Harmonic Dynamic Load

2020 ◽  
Vol 55 (4) ◽  
Author(s):  
Cong Duy Le ◽  
Dinh Thoai Phan
Keyword(s):  
Differential Equations ◽  
Differential Evolution ◽  
Dynamic Load ◽  
Differential Evolution Algorithm ◽  
Frame Structure ◽  
Mode Analysis ◽  
Analysis Method ◽  
Fuzzy Input ◽  
Input Parameters ◽  
Evolution Algorithm

In [1], we presented a new method for solving the fuzzy differential equations of oscillation with fuzzy input parameters. The new method is based on the domain mode analysis method combined with a differential evolution algorithm to determine the fuzzy output parameters and the fuzzy displacements at each floor of the frame. In this article, we continue to develop and expand the solution of the fuzzy vibration differential equations of the 2D frame under the excitation of harmonic dynamic load. The solution based on the domain mode analysis method is combined with a hybrid crossover differential evolution algorithm. This algorithm is more advanced than previous traditional differential evolutionary optimizations because it converts quickly and prevents the search process from falling into a local solution. An example for illustrating the algorithm is to analyse the oscillation of the 2-span and 9-storey 2D frame structure subjected to harmonic dynamic load with fuzzy input parameters. The calculation results in the MATLAB software show the results of the fuzzy displacements and fuzzy internal force of the frame. Next, they show the relationship between the oscillation frequency and the displacement and moment of the frame structure. This is important and should be considered in the design as well as in the reliability assessment of the structures.

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