Design of morlet wavelet neural network for solving a class of singular pantograph nonlinear differential models
The aim of this study is to design a layer structure of feed-forward articial neural networks using the Morlet wavelet activation function for solving a class of pantograph differential Lane-Emden models. The Lane-Emden pantograph differential equation is one of the important kind of singular functi...
| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English English |
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Institute of Electrical and Electronics Engineers Inc.
2021
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| Online Access: | https://eprints.ums.edu.my/id/eprint/29964/1/Design%20of%20morlet%20wavelet%20neural%20network%20for%20solving%20a%20class%20of%20singular%20pantograph%20nonlinear%20differential%20models-Abstract.pdf https://eprints.ums.edu.my/id/eprint/29964/2/Design%20of%20Morlet%20Wavelet%20Neural%20Network%20for%20Solving%20a%20Class%20of%20Singular%20Pantograph%20Nonlinear%20Differential%20Models.pdf |
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| author | Kashif Nisar Zulqurnain Sabir Muhammad Asif Zahoor Raja Ag. Asri Ag. Ibrahim Fevzi Erdogan Muhammad Reazul Haque Joel J. P. C. Rodrigues Danda B. Rawat |
| author_facet | Kashif Nisar Zulqurnain Sabir Muhammad Asif Zahoor Raja Ag. Asri Ag. Ibrahim Fevzi Erdogan Muhammad Reazul Haque Joel J. P. C. Rodrigues Danda B. Rawat |
| author_sort | Kashif Nisar |
| collection | UMS |
| description | The aim of this study is to design a layer structure of feed-forward articial neural networks using the Morlet wavelet activation function for solving a class of pantograph differential Lane-Emden models. The Lane-Emden pantograph differential equation is one of the important kind of singular functional differential model. The numerical solutions of the singular pantograph differential model are presented by the approximation capability of the Morlet wavelet neural networks (MWNNs) accomplished with the strength of global and local search terminologies of genetic algorithm (GA) and interior-point algorithm (IPA), i.e., MWNN-GAIPA. Three different problems of the singular pantograph differential models have been numerically solved by using the optimization procedures of MWNN-GAIPA. The correctness of the designed MWNN-GAIPA is observed by comparing the obtained results with the exact solutions. The analysis for 3, 6 and 60 neurons are also presented to check the stability and performance of the designed scheme. Moreover, different statistical analysis using forty number of trials is presented to check the convergence and accuracy of the proposed MWNN-GAIPA scheme |
| first_indexed | 2024-03-06T03:09:20Z |
| format | Article |
| id | ums.eprints-29964 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-03-06T03:09:20Z |
| publishDate | 2021 |
| publisher | Institute of Electrical and Electronics Engineers Inc. |
| record_format | dspace |
| spelling | ums.eprints-299642021-07-14T08:00:50Z https://eprints.ums.edu.my/id/eprint/29964/ Design of morlet wavelet neural network for solving a class of singular pantograph nonlinear differential models Kashif Nisar Zulqurnain Sabir Muhammad Asif Zahoor Raja Ag. Asri Ag. Ibrahim Fevzi Erdogan Muhammad Reazul Haque Joel J. P. C. Rodrigues Danda B. Rawat QA Mathematics TA Engineering (General). Civil engineering (General) The aim of this study is to design a layer structure of feed-forward articial neural networks using the Morlet wavelet activation function for solving a class of pantograph differential Lane-Emden models. The Lane-Emden pantograph differential equation is one of the important kind of singular functional differential model. The numerical solutions of the singular pantograph differential model are presented by the approximation capability of the Morlet wavelet neural networks (MWNNs) accomplished with the strength of global and local search terminologies of genetic algorithm (GA) and interior-point algorithm (IPA), i.e., MWNN-GAIPA. Three different problems of the singular pantograph differential models have been numerically solved by using the optimization procedures of MWNN-GAIPA. The correctness of the designed MWNN-GAIPA is observed by comparing the obtained results with the exact solutions. The analysis for 3, 6 and 60 neurons are also presented to check the stability and performance of the designed scheme. Moreover, different statistical analysis using forty number of trials is presented to check the convergence and accuracy of the proposed MWNN-GAIPA scheme Institute of Electrical and Electronics Engineers Inc. 2021-04-13 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/29964/1/Design%20of%20morlet%20wavelet%20neural%20network%20for%20solving%20a%20class%20of%20singular%20pantograph%20nonlinear%20differential%20models-Abstract.pdf text en https://eprints.ums.edu.my/id/eprint/29964/2/Design%20of%20Morlet%20Wavelet%20Neural%20Network%20for%20Solving%20a%20Class%20of%20Singular%20Pantograph%20Nonlinear%20Differential%20Models.pdf Kashif Nisar and Zulqurnain Sabir and Muhammad Asif Zahoor Raja and Ag. Asri Ag. Ibrahim and Fevzi Erdogan and Muhammad Reazul Haque and Joel J. P. C. Rodrigues and Danda B. Rawat (2021) Design of morlet wavelet neural network for solving a class of singular pantograph nonlinear differential models. IEEE Access, 9. pp. 77845-77862. ISSN 2169-3536 https://ieeexplore.ieee.org/document/9402754/authors#authors 10.1109/ACCESS.2021.3072952 10.1109/ACCESS.2021.3072952 |
| spellingShingle | QA Mathematics TA Engineering (General). Civil engineering (General) Kashif Nisar Zulqurnain Sabir Muhammad Asif Zahoor Raja Ag. Asri Ag. Ibrahim Fevzi Erdogan Muhammad Reazul Haque Joel J. P. C. Rodrigues Danda B. Rawat Design of morlet wavelet neural network for solving a class of singular pantograph nonlinear differential models |
| title | Design of morlet wavelet neural network for solving a class of singular pantograph nonlinear differential models |
| title_full | Design of morlet wavelet neural network for solving a class of singular pantograph nonlinear differential models |
| title_fullStr | Design of morlet wavelet neural network for solving a class of singular pantograph nonlinear differential models |
| title_full_unstemmed | Design of morlet wavelet neural network for solving a class of singular pantograph nonlinear differential models |
| title_short | Design of morlet wavelet neural network for solving a class of singular pantograph nonlinear differential models |
| title_sort | design of morlet wavelet neural network for solving a class of singular pantograph nonlinear differential models |
| topic | QA Mathematics TA Engineering (General). Civil engineering (General) |
| url | https://eprints.ums.edu.my/id/eprint/29964/1/Design%20of%20morlet%20wavelet%20neural%20network%20for%20solving%20a%20class%20of%20singular%20pantograph%20nonlinear%20differential%20models-Abstract.pdf https://eprints.ums.edu.my/id/eprint/29964/2/Design%20of%20Morlet%20Wavelet%20Neural%20Network%20for%20Solving%20a%20Class%20of%20Singular%20Pantograph%20Nonlinear%20Differential%20Models.pdf |
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