Genetic algorithms and Nelder-Mead method for the solution of boundary value problems with the collocation method

Authors:
Nikos E. Mastorakis
Affiliations:
Military Institutes of University Education, Hellenic Naval Academy, Piraeus, Greece
Venue:
SMO'05 Proceedings of the 5th WSEAS international conference on Simulation, modelling and optimization
Year:
2005

Citing 8
Cited 10

Computational intelligence PC tools

Computational intelligence PC tools
The nature of mathematical modeling

The nature of mathematical modeling
Solving Irregular Econometric and Mathematical Optimization Problems with a Genetic Hybrid Algorithm

Computational Economics
Fourier analysis of genetic algorithms

Theoretical Computer Science - Special issue on evolutionary computation
Genetic Algorithms in Search, Optimization and Machine Learning

Genetic Algorithms in Search, Optimization and Machine Learning
Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions

SIAM Journal on Optimization
On the solution of ill-conditioned systems of linear and non-linear equations via genetic algorithms (GAs) and Nelder-Mead simplex search

EC'05 Proceedings of the 6th WSEAS international conference on Evolutionary computing
Numerical solution of non-linear ordinary differential equations via collocation method (finite elements) and genetic algorithms

EC'05 Proceedings of the 6th WSEAS international conference on Evolutionary computing

Implementation of artificial intelligence in the time series prediction problem

SMO'06 Proceedings of the 6th WSEAS International Conference on Simulation, Modelling and Optimization
Comparison of artificial intelligence methods for predicting the time series problem

SMO'06 Proceedings of the 6th WSEAS International Conference on Simulation, Modelling and Optimization
Automatic plate detection using genetic algorithm

SSIP'06 Proceedings of the 6th WSEAS International Conference on Signal, Speech and Image Processing
Solution of the Schrodinger-Maxwell equations via finite elements and genetic algorithms with Nelder-Mead

WSEAS Transactions on Mathematics
Existence, uniqueness and finite difference solution for the Dirichlet problem of the Schrodinger-Maxwell equations

WSEAS Transactions on Mathematics
Genetic algorithms with Nelder-Mead optimization in the variational methods of boundary value problems

WSEAS Transactions on Mathematics
Genetic algorithms with Nelder-Mead optimization for the finite elements methods applied on non-linear problems in fluid mechanics

FANDB'09 Proceedings of the 2nd WSEAS international conference on Finite differences, finite elements, finite volumes, boundary elements
Numerical solution of the Schrodinger-Maxwell equations (with a general nonlinear term) via finite elements and genetic algorithms with Nelder-Mead

FANDB'09 Proceedings of the 2nd WSEAS international conference on Finite differences, finite elements, finite volumes, boundary elements
Finite difference schemes for the Schrodinger-Maxwell equations (with a general non-linear term)

FANDB'09 Proceedings of the 2nd WSEAS international conference on Finite differences, finite elements, finite volumes, boundary elements
On the numerical solution of mathematical models of cancer growth and optimal cancer therapy

BIOCOMPUCHEM'09 Proceedings of the 3rd WSEAS International Conference on Computational Chemistry

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper, a computational scheme of Evolutionary Computing (Genetic Algorithms) accompanied by the Nelder-Mead method is proposed for solving Boundary Value Problems of ODEs (Ordinary Differential Equations) via the Collocation Method method.