Two-Grid Iterative Method for a Class of Fredholm Functional Integral Equations based on the Radial Basis Function Interpolation

Qisheng WANG; Huimin ZHOU

doi:https://doi.org/10.33401/fujma.633905

Makale detayları

Two-Grid Iterative Method for a Class of Fredholm Functional Integral Equations based on the Radial Basis Function Interpolation

Yazarlar:

Qisheng WANG | Huimin ZHOU

Yayıncı:

Fuat USTA

Ana Başlıklar:

Matematik

Dergi:

Fundamental Journal of Mathematics and Applications 2019 Vol.2 Issue 2, pp.117-122

Belge Tipi:

Makale

Yayın Tarihi:

12/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000422158

pISSN:

2645-8845

DOI:

https://doi.org/10.33401/fujma.633905

Özet:

 


In this paper, we discuss a two-grid iterative method for solving a class of Fredholm functional integral equations based on the radial basis function interpolation. Firstly, the existence and uniqueness of the solution are proved by Banach fixed point theorem. Secondly, the algorithm and convergence analysis of the radial basis function approximation method is given on the coarse grid. Thirdly, the fine grid iterative solution and convergence results are obtained. Finally, the validity and reliability of the theoretical analysis are verified by two numerical experiments.

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Makale detayları

Two-Grid Iterative Method for a Class of Fredholm Functional Integral Equations based on the Radial Basis Function Interpolation

Yazarlar: Qisheng WANG | Huimin ZHOU

Yayıncı: Fuat USTA

Ana Başlıklar: Matematik

Dergi: Fundamental Journal of Mathematics and Applications 2019 Vol.2 Issue 2, pp.117-122

Belge Tipi: Makale

Yayın Tarihi: 12/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000422158

pISSN: 2645-8845

DOI: https://doi.org/10.33401/fujma.633905

Sayı

Yazarlar:

Qisheng WANG | Huimin ZHOU

Yayıncı:

Fuat USTA

Ana Başlıklar:

Matematik

Dergi:

Fundamental Journal of Mathematics and Applications 2019 Vol.2 Issue 2, pp.117-122

Belge Tipi:

Makale

Yayın Tarihi:

12/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000422158

pISSN:

2645-8845

DOI:

https://doi.org/10.33401/fujma.633905