A method for solving the parameter identification problem for ordinary differential equations of the second order

DOI10.1016/0096-3003(95)00098-4zbMath0854.65070OpenAlexW1996076939MaRDI QIDQ1914624

Dragan Jukić, Rudolf Scitovski

Publication date: 8 September 1996

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(95)00098-4

zbMATH Keywords

inverse problemmoving least squaressecond-order differential equationexperimental dataparameter identification problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Inverse problems involving ordinary differential equations (34A55)

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Analysis of a parameter identification problem ⋮ A necessary and sufficient criteria for the existence of the least squares estimate for a 3-parametric exponential function. ⋮ A modified NM-PSO method for parameter estimation problems of models ⋮ The best least squares approximation problem for a 3-parametric exponential regression model ⋮ Parameter identification in the mathematical model of glucose and insulin tolerance test - the mathematical markers of diabetes ⋮ Parameter estimation in ordinary differential equations modeling via particle swarm optimization ⋮ Existence of optimal solution for exponential model by least squares ⋮ An existence of an isolated solution to nonlinear two-point boundary value problem with parameter ⋮ Existence of Optimal Weighted Least Squares Estimate for Three-Parametric Exponential Model ⋮ Solving the parameter identification problem of mathematical models using genetic algorithms ⋮ Discrete total \({\l}_p\)-norm approximation problem for the exponential function ⋮ Approximating surfaces by moving total least squares method ⋮ Solving parameter estimation problem in new product diffusion models.

Cites Work

• Multivariate interpolation of arbitrarily spaced data by moving least squares methods
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• Discussion of parameter estimation in biological modelling: Algorithms for estimation and evaluation of the estimates
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• Algorithms for Separable Nonlinear Least Squares Problems
• Surfaces Generated by Moving Least Squares Methods
• A Spline Least Squares Method for Numerical Parameter Estimation in Differential Equations
• Short Lecture Session
• The automatic integration of ordinary differential equations
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