[PDF] Top 20 Solving high order ordinary differential equations with radial basis function networks
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Solving high order ordinary differential equations with radial basis function networks
... ith order IRBFN scheme, IRBFN-i, is regarded as an indirect scheme in which the ith order derivative is decomposed into a set of ...the order used throughout the present study, namely the ... See full document
53
Numerical solution of differential equations using multiquadric radial basis function networks
... best value of these parameters is still open. Recently, Mai-Duy and Tran-Cong (1999) have developed new methods based on RBFNs for the approximation of both functions and their rst and higher derivatives. The so called ... See full document
38
A Cartesian-grid collocation method based on radial-basis-function networks for solving PDEs in irregular domains
... on radial- basis-function networks (RBFNs) for numerically solving elliptic partial differential equa- tions (PDEs) in irregular ...in order to achieve a high level ... See full document
32
Hybrid-Block Numerical Method for Solving Second Order Ordinary Differential Equations
... for solving second order initial value problems of ordinary differential equations is ...the basis function at the grid and non-grid points which are used to form the ... See full document
10
Algorithm for solving the Cauchy problem for stationary systems of fractional order linear ordinary differential equations
... for solving the Cauchy problem for a homogeneous system of fractional order linear differential equations with constant coefficients ...exponential function matrix in this formula is ... See full document
10
A numerical study of compact approximations based on flat integrated radial basis functions for second-order differential equations
... for solving PDE problems and demonstrate the stability and accuracy of the new scheme through various numerical ...a high level of accuracy is still achieved when CCIRBF stencils are applied to problems ... See full document
36
On Trigonometric Numerical Integrator for Solving First Order Ordinary Differential Equation
... of ordinary differential ...a basis function that is adequately differentia- ble in the domain of the numerical ...Such basis function is then used to create a discrete version ... See full document
15
Modified Legendre Collocation Block Method for Solving Initial Value Problems of First Order Ordinary Differential Equations
... first order differential equations in the predic- tor-corrector mode were proposed, based on collocation method with power se- ries polynomial as basis function, and Taylor series ... See full document
15
The LS SVM algorithms for boundary value problems of high order ordinary differential equations
... universal function approximation capabilities [20–22], and the solution obtained from the neural network is differentiable and in closed analytic ...for solving ordinary differential equations ... See full document
22
Solving high-order partial differential equations with indirect radial basis function networks
... In solving high-order PDEs in a direct manner, special attention needs to be paid to the two important issues, namely the implementation of multiple boundary con- ditions and the approximation of ... See full document
38
A symmetric integrated radial basis function method for solving differential equations
... where function ϕ(r) is taken in the form of (2) for DRBFs and in the form of (10) for ...of order for IRBF. An IRBF is said to be of order α if its (original) RBF is integrated α ...For ... See full document
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Ordinary Differential Equations
... Theorem [1]. Suppose that f(x) , g(x) , and r(x) in Eq. (58) are con- tinuous functions on an open interval I . Let Y (x) be any solution of Eq. (58) on I containing no arbitrary constants. Then Y (x) is obtained from ... See full document
71
Maximal Order Block Method For The Solution Of Second Order Ordinary Differential Equations
... maximal order for approximating the solution of second order initial and boundary value ...maximal order block method introduced, certain numerical examples were ...equal order or equal ... See full document
7
On Exact Solutions of Second Order Nonlinear Ordinary Differential Equations
... for solving second order nonlinear ordinary differential ...first order partial differential equations show that this method can be improved and introduces a significant ... See full document
5
Ordinary Differential Equations
... first-order equations including integrating factors, second-order equations including variation of parameters, series solutions, elementary numerical methods including Euler's methods, Laplace ... See full document
6
Function Approximation Using Robust Radial Basis Function Networks
... In contrast to MLPs, RBF networks use a localized re- presentation of information. The RBF network requires less computation time for the learning and more compact topology than MLP. The network can be configured ... See full document
9
Solving homogeneous linear differential equations of order 4 in terms of equations of smaller order.
... of solving a differential equation in terms of equations of lower order goes back to Fano ((12)) whose results were reproven by ...linear differential equation of order four is ... See full document
121
Two and Three point Implicit Second Derivative Block Methods for Solving First Order Ordinary Differential Equations
... Many researchers have focused on the block method for solving first order ordinary differ- ential equations (ODEs). Such as Majid et al. (2003) developed two point implicit method for ... See full document
14
A Numerical Solver for Second Order Stiff Ordinary Differential Equations
... [1] Ra’ft Abdelrahim and Zurni Omar. Derivation of a single-step hybrid block method with generalized two off-step points for solving second order ordinary differential equation directly. ... See full document
8
Application of Numerovs Method on Second Order Ordinary Differential Equations
... the differential equation of second order and finds the numerical solutions of second order differential equations with the various ...second order differential equation ... See full document
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