Solving Three Dimensions Volterra Integral Equations (TDVIE) via a Neural Network
The aim of this paper is present a new numerical method for solvingThree Dimensions Volterra Integral Equations using artificial neural network by design multilayer feed forward Neural Network. A multi- layers design in our proposed method consist of a hidden layer having seven hidden units. and o...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Tikrit University
2019-01-01
|
| Series: | Tikrit Journal of Pure Science |
| Subjects: | |
| Online Access: | https://tjpsj.org/index.php/tjps/article/view/575 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849721321763635200 |
|---|---|
| author | Nahdh S. M. Al-Saif Ameen Sh. Ameen Ghaith Fadhil Abbas |
| author_facet | Nahdh S. M. Al-Saif Ameen Sh. Ameen Ghaith Fadhil Abbas |
| author_sort | Nahdh S. M. Al-Saif |
| collection | DOAJ |
| description |
The aim of this paper is present a new numerical method for solvingThree Dimensions Volterra Integral Equations using artificial neural network by design multilayer feed forward Neural Network. A multi- layers design in our proposed method consist of a hidden layer having seven hidden units. and one linear output unit. Linear Transfer function used as each unit and using Levenberg- Marquardtalgorithmtraining. Moreover, examples on three- dimensional Volterra integral equations carried out to illustrate the accuracy and the efficiency of the presented method. In addition, some comparisons among proposed method and Shifted Chebyshev Polynomials method and Reduced Differential Transform Method are presented
|
| format | Article |
| id | doaj-art-d277259e216b4a4a99aa7b7a8d53fb9d |
| institution | DOAJ |
| issn | 1813-1662 2415-1726 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Tikrit University |
| record_format | Article |
| series | Tikrit Journal of Pure Science |
| spelling | doaj-art-d277259e216b4a4a99aa7b7a8d53fb9d2025-08-20T03:11:42ZengTikrit UniversityTikrit Journal of Pure Science1813-16622415-17262019-01-01231010.25130/tjps.v23i10.575Solving Three Dimensions Volterra Integral Equations (TDVIE) via a Neural Network Nahdh S. M. Al-SaifAmeen Sh. AmeenGhaith Fadhil Abbas The aim of this paper is present a new numerical method for solvingThree Dimensions Volterra Integral Equations using artificial neural network by design multilayer feed forward Neural Network. A multi- layers design in our proposed method consist of a hidden layer having seven hidden units. and one linear output unit. Linear Transfer function used as each unit and using Levenberg- Marquardtalgorithmtraining. Moreover, examples on three- dimensional Volterra integral equations carried out to illustrate the accuracy and the efficiency of the presented method. In addition, some comparisons among proposed method and Shifted Chebyshev Polynomials method and Reduced Differential Transform Method are presented https://tjpsj.org/index.php/tjps/article/view/575Three - dimensional Volterra Integral EquationsArtificial Neural NetworkLinear Transfer FunctionLevenberg-Marquardt Algorithm |
| spellingShingle | Nahdh S. M. Al-Saif Ameen Sh. Ameen Ghaith Fadhil Abbas Solving Three Dimensions Volterra Integral Equations (TDVIE) via a Neural Network Tikrit Journal of Pure Science Three - dimensional Volterra Integral Equations Artificial Neural Network Linear Transfer Function Levenberg-Marquardt Algorithm |
| title | Solving Three Dimensions Volterra Integral Equations (TDVIE) via a Neural Network |
| title_full | Solving Three Dimensions Volterra Integral Equations (TDVIE) via a Neural Network |
| title_fullStr | Solving Three Dimensions Volterra Integral Equations (TDVIE) via a Neural Network |
| title_full_unstemmed | Solving Three Dimensions Volterra Integral Equations (TDVIE) via a Neural Network |
| title_short | Solving Three Dimensions Volterra Integral Equations (TDVIE) via a Neural Network |
| title_sort | solving three dimensions volterra integral equations tdvie via a neural network |
| topic | Three - dimensional Volterra Integral Equations Artificial Neural Network Linear Transfer Function Levenberg-Marquardt Algorithm |
| url | https://tjpsj.org/index.php/tjps/article/view/575 |
| work_keys_str_mv | AT nahdhsmalsaif solvingthreedimensionsvolterraintegralequationstdvieviaaneuralnetwork AT ameenshameen solvingthreedimensionsvolterraintegralequationstdvieviaaneuralnetwork AT ghaithfadhilabbas solvingthreedimensionsvolterraintegralequationstdvieviaaneuralnetwork |