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Evolutionary numerical approach for solving nonlinear singular periodic boundary value problems
Journal of Intelligent & Fuzzy Systems ( IF 2 ) Pub Date : 2020-09-14 , DOI: 10.3233/jifs-201045
Mohamed R. Ali 1 , Adel R. Hadhoud 2 , Wen-Xiu Ma 3, 4, 5, 6
Affiliation  

In this approximation study, a nonlinear singular periodic model in nuclear physics is solved by using Hermite wavelets technique (HW) coupled with numerical iteration technique such as Newton Raphson (NR) for solving the resulting nonlinear system. The stimulation of offering this numerical work comes from the aim of introducing a consistent framework that has the effective structures of Hermite with the wavelets. Two numerical examples of the singular periodic model in nuclear physics have been investigated to observe the robustness, proficiency, and stability of the designed scheme. The proposed outcomes of HW technique are compared from available numerical solutions that established fitness of the designed procedure through performance evaluates on a multiple execution.

中文翻译:

求解非线性奇异周期边值问题的演化数值方法

在此近似研究中,通过使用Hermite小波技术(HW)结合数值迭代技术(例如Newton Raphson(NR))求解核物理中的非线性奇异周期模型,以求解所得的非线性系统。提供此数值工作的目的在于引入一个一致的框架,该框架具有Hermite和小波的有效结构。研究了核物理奇异周期模型的两个数值示例,以观察设计方案的鲁棒性,熟练度和稳定性。硬件技术的建议结果与可用数值解决方案进行了比较,这些数值解决方案通过对多次执行的性能评估来确定设计过程的适用性。
更新日期:2020-09-15
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