An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method.
K. ParandMehdi DehghanA. R. RezaeiS. M. GhaderiPublished in: Comput. Phys. Commun. (2010)
Keyphrases
- mathematical model
- cost function
- detection algorithm
- algebraic equations
- preprocessing
- closed form
- significant improvement
- optimization method
- objective function
- optimal solution
- numerical integration
- detection method
- high accuracy
- global solution
- clustering method
- sequential quadratic programming
- iterative procedure
- search procedure
- dynamic programming
- optimization algorithm
- linear approximation
- projection method
- approximation methods
- initial solution
- computational cost
- computational complexity
- newton raphson
- matching algorithm
- learning algorithm
- nonlinear functions
- segmentation method
- segmentation algorithm
- basis functions
- integral equation
- theoretical analysis
- k means
- fourier series
- recognition algorithm
- similarity measure
- input data
- np hard
- probabilistic model
- support vector machine
- newton method
- support vector machine svm
- search space
- set of basis functions
- nonlinear equations
- linear equations
- linear systems
- energy function
- linear programming
- expectation maximization
- reconstruction method
- convergence rate
- neural network