The discrete collocation method for Fredholm–Hammerstein integral equations based on moving least squares method
| Autor: | Farid Mohammad Maalek Ghaini, Hojatollah Laeli Dastjerdi |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Regularized meshless method
Basis (linear algebra) Applied Mathematics Mathematical analysis 010103 numerical & computational mathematics Singular boundary method 01 natural sciences Integral equation Domain (mathematical analysis) Mathematics::Numerical Analysis Computer Science Applications 010101 applied mathematics Computational Theory and Mathematics Collocation method Orthogonal collocation 0101 mathematics Moving least squares Mathematics |
| Zdroj: | International Journal of Computer Mathematics. 93:1347-1357 |
| ISSN: | 1029-0265 0020-7160 |
| DOI: | 10.1080/00207160.2015.1046846 |
| Popis: | The purpose of this paper is to investigate the discrete collocation method based on moving least squares MLS approximation for Fredholm–Hammerstein integral equations. The scheme utilizes the shape functions of the MLS approximation constructed on scattered points as a basis in the discrete collocation method. The proposed method is meshless, since it does not require any background mesh or domain elements. Error analysis of this method is also investigated. Some numerical examples are provided to illustrate the accuracy and computational efficiency of the method. |
| Databáze: | OpenAIRE |
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