Solving high order ordinary differential equations with radial basis function networks

By Nam Mai-Duy. 2005

99 citations recorded by the source corpus.

Subfields: Electrical and Electronic Engineering, Mechanics of Materials, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/be329d485832d889bcffef1779a4812a672cabaf

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Electrical and Electronic Engineering

1. R. Tanner
2. Saeed Kazem
3. Kourosh Parand
4. Saeid Abbasbandy
5. Jamal Amani Rad
6. Nam Mai-Duy

In Mechanics of Materials

1. R. Tanner
2. Saeed Kazem
3. Saeid Abbasbandy
4. Kourosh Parand
5. Jamal Amani Rad
6. Nam Mai-Duy
7. Syed Tauseef Mohyud-Din
8. Muhammad Aslam Noor

In Statistical and Nonlinear Physics

1. R. Tanner
2. Saeed Kazem
3. Kourosh Parand
4. Saeid Abbasbandy
5. Jamal Amani Rad
6. Nam Mai-Duy
7. Syed Tauseef Mohyud-Din
8. Muhammad Aslam Noor

Citations in the corpus

• A novel application of radial basis functions for solving a model of first-order integro-ordinary differential equation (2011, methodology): “There are two basic approaches for obtaining new basis functions from RBFs, namely direct approach (DRBF) based on a differential process [20] and indirect approach (IRBF) based on an integration process [19,23,30].”
• A collocation method based on one-dimensional RBF interpolation scheme for solving PDEs (2007, unknown): “The details of implementing multiple boundary conditions using integration constants were reported in (Mai-Duy, 2005; Mai-Duy and Tanner, 2005).”
• A spectral collocation method based on integrated Chebyshev polynomials for two-dimensional biharmonic boundary-value problems (2007, methodology): “(The detailed implementation of the collocation formulation based on integration using radial basis functions for the direct solution of high-order differential equations was reported in [18,20].”