Reliable numerical treatment of nonlinear singular Flierl-Petviashivili equations for unbounded domain using ANN, GAs, and SQP
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- 作者：Muhammad Asif Zahoor Rajaa ; Muhammad.asif@ciit-attock.edu.pk" class="auth_mail" title="E-mail the corresponding author ; rasifzahoor@yahoo.com" class="auth_mail" title="E-mail the corresponding author ; Junaid Ali Khanb ; Junaid.Ali@ciit-attock.edu.pk" class="auth_mail" title="E-mail the corresponding author ; Naveed Ishtiaq Chaudharyc ; Naveed.ishtiaq@iiu.edu.pk" class="auth_mail" title="E-mail the corresponding author ; Elyas Shivaniand ; shivanian@sci.ikiu.ac.ir" class="auth_mail" title="E-mail the corresponding author
- 关键词：Flierl&ndash ; Petviashivili problem ; Nonlinear singular systems ; Artificial neural networks ; Genetic algorithm ; Sequential quadratic programming ; Memetic computing
- 刊名：Applied Soft Computing
- 出版年：2016
- 出版时间：January 2016
- 年：2016
- 卷：38
- 期：Complete
- 页码：617-636
- 全文大小：6664 K
文摘
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Detail flow diagram of processes for obtaining the proposed solution of FP equation using neural networks trained with hybrid approach GA-SQP.
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Novel stochastic solver for boundary value problems of Flierl–Petvishivile equations.
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Strength of model is to avoid singularity and satisfy the conditions for unbounded domain.
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The accuracy of the approach is validated on three variants of two nonlinear problems.
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Detail simulations are performed to evaluate the reliability and effectiveness.