The shooting method consists of guessing unknown initial values, transforming a second-order nonlinear boundary value problem (BVP) to an initial value problem and integrating it to obtain the values at the right end to match the specified boundary condition, which acts as a target equation. In the shooting method, the key issue is accurately solving the target equation to obtain highly precise initial values. Due to the implicit and nonlinear property, we develop a generalized derivative-free Newton method (GDFNM) to solve the target equation, which offers very accurate initial values. Numerical examples are examined to show that the shooting method together with the GDFNM can generate a very accurate solution. Additionally, the GDFNM can successfully solve the three-point nonlinear BVPs with high accuracy. A new splitting-linearizing method is developed to express the approximate analytic solutions of nonlinear BVPs in terms of elementary functions, which adopts the Lyapunov technique by inserting a dummy parameter into the governing equation and the power series solution. Then, linearized differential equations are sequentially solved to derive the analytic solution.
{"title":"Numerical and Approximate Analytic Solutions of Second- order Nonlinear Boundary Value Problems","authors":"Chein-Shan Liu, Jian-Hung Shen, Yung-Wei Chen","doi":"10.51400/2709-6998.2588","DOIUrl":"https://doi.org/10.51400/2709-6998.2588","url":null,"abstract":"The shooting method consists of guessing unknown initial values, transforming a second-order nonlinear boundary value problem (BVP) to an initial value problem and integrating it to obtain the values at the right end to match the specified boundary condition, which acts as a target equation. In the shooting method, the key issue is accurately solving the target equation to obtain highly precise initial values. Due to the implicit and nonlinear property, we develop a generalized derivative-free Newton method (GDFNM) to solve the target equation, which offers very accurate initial values. Numerical examples are examined to show that the shooting method together with the GDFNM can generate a very accurate solution. Additionally, the GDFNM can successfully solve the three-point nonlinear BVPs with high accuracy. A new splitting-linearizing method is developed to express the approximate analytic solutions of nonlinear BVPs in terms of elementary functions, which adopts the Lyapunov technique by inserting a dummy parameter into the governing equation and the power series solution. Then, linearized differential equations are sequentially solved to derive the analytic solution.","PeriodicalId":50149,"journal":{"name":"Journal of Marine Science and Technology-Taiwan","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47040634","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The risks for ferries in the Yangtze River are relatively high, as they frequently cross the main traffic flows, leading to more intersections with other upwards and downwards ships. Although some studies have developed many models to assess collision risks in the Yangtze River, collision warning studies on ferries are scant. Meanwhile, most of the current collision studies evaluate risk based on AIS data, which are incapable of providing real-time ship information as they are discrete-time series data. In this work, fused data combining radar and AIS data are applied in a real-time ship collision warning model to assess the dynamic risk for ferries in the Yangtze River. Firstly, data fusion technology is proposed to acquire refined ship trajectories from AIS and radar data. Then, a widely used geometric collision model is enhanced to assess the real-time collision risk for ferries. And lastly, to illustrate the model, a real case of a ferry crossing through the Yangtze River is studied. The real-time risk values of the ferries are calculated based on fused data inputs, and the output results indicate that the use of fused data provides more accurate and continuous real-time ship risks. Thus, the proposed approach is evidenced to support the development of smart maritime surveillance.
{"title":"A Fused Data Based Real-Time Collision Warning System for Ferries in the Yangtze River","authors":"Xiaojia Liu, Kecheng Zhang, Hang Xue, Yingtang Li","doi":"10.51400/2709-6998.2585","DOIUrl":"https://doi.org/10.51400/2709-6998.2585","url":null,"abstract":"The risks for ferries in the Yangtze River are relatively high, as they frequently cross the main traffic flows, leading to more intersections with other upwards and downwards ships. Although some studies have developed many models to assess collision risks in the Yangtze River, collision warning studies on ferries are scant. Meanwhile, most of the current collision studies evaluate risk based on AIS data, which are incapable of providing real-time ship information as they are discrete-time series data. In this work, fused data combining radar and AIS data are applied in a real-time ship collision warning model to assess the dynamic risk for ferries in the Yangtze River. Firstly, data fusion technology is proposed to acquire refined ship trajectories from AIS and radar data. Then, a widely used geometric collision model is enhanced to assess the real-time collision risk for ferries. And lastly, to illustrate the model, a real case of a ferry crossing through the Yangtze River is studied. The real-time risk values of the ferries are calculated based on fused data inputs, and the output results indicate that the use of fused data provides more accurate and continuous real-time ship risks. Thus, the proposed approach is evidenced to support the development of smart maritime surveillance.","PeriodicalId":50149,"journal":{"name":"Journal of Marine Science and Technology-Taiwan","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48705322","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-11-18DOI: 10.1007/s00773-022-00910-9
Linhe Zheng, Zhilin Liu, Bowen Zeng, H. Meng, Xinwei Wang
{"title":"Experimental and numerical study on heave and pitch motion calculation of a trimaran","authors":"Linhe Zheng, Zhilin Liu, Bowen Zeng, H. Meng, Xinwei Wang","doi":"10.1007/s00773-022-00910-9","DOIUrl":"https://doi.org/10.1007/s00773-022-00910-9","url":null,"abstract":"","PeriodicalId":50149,"journal":{"name":"Journal of Marine Science and Technology-Taiwan","volume":"28 1","pages":"136 - 152"},"PeriodicalIF":0.5,"publicationDate":"2022-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45444693","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-11-10DOI: 10.1007/s00773-022-00912-7
N. Sakamoto, T. Ohmori, K. Ohashi, Hiroshi Kobayashi
{"title":"False bottoms revisited: computational study for KCS under pure yaw motion in shallow water (H/T = 1.2)","authors":"N. Sakamoto, T. Ohmori, K. Ohashi, Hiroshi Kobayashi","doi":"10.1007/s00773-022-00912-7","DOIUrl":"https://doi.org/10.1007/s00773-022-00912-7","url":null,"abstract":"","PeriodicalId":50149,"journal":{"name":"Journal of Marine Science and Technology-Taiwan","volume":"28 1","pages":"117 - 135"},"PeriodicalIF":0.5,"publicationDate":"2022-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48454862","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
C. Shih, Qingchao Chen, Y. Lan, Shih-Hui Hsiao, C. Weng
{"title":"Key to the species of Scolecitrichidae Scolecitrichopsis occurring in the China Seas","authors":"C. Shih, Qingchao Chen, Y. Lan, Shih-Hui Hsiao, C. Weng","doi":"10.51400/2709-6998.2671","DOIUrl":"https://doi.org/10.51400/2709-6998.2671","url":null,"abstract":"","PeriodicalId":50149,"journal":{"name":"Journal of Marine Science and Technology-Taiwan","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42946979","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
C. Shih, Qingchao Chen, Y. Lan, Shih-Hui Hsiao, C. Weng
{"title":"Key to the species of Scolecitrichidae Pseudoamallothrix occurring in the China Seas","authors":"C. Shih, Qingchao Chen, Y. Lan, Shih-Hui Hsiao, C. Weng","doi":"10.51400/2709-6998.2666","DOIUrl":"https://doi.org/10.51400/2709-6998.2666","url":null,"abstract":"","PeriodicalId":50149,"journal":{"name":"Journal of Marine Science and Technology-Taiwan","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44039015","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
C. Shih, Qingchao Chen, Y. Lan, Shih-Hui Hsiao, C. Weng
{"title":"Key to the species of Augaptilidae Pontoptilus occurring in the China Seas","authors":"C. Shih, Qingchao Chen, Y. Lan, Shih-Hui Hsiao, C. Weng","doi":"10.51400/2709-6998.2615","DOIUrl":"https://doi.org/10.51400/2709-6998.2615","url":null,"abstract":"","PeriodicalId":50149,"journal":{"name":"Journal of Marine Science and Technology-Taiwan","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48597678","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
C. Shih, Qingchao Chen, Y. Lan, Shih-Hui Hsiao, C. Weng
{"title":"Key to the species of Pontellidae Pontellopsis occurring in the China Seas","authors":"C. Shih, Qingchao Chen, Y. Lan, Shih-Hui Hsiao, C. Weng","doi":"10.51400/2709-6998.2658","DOIUrl":"https://doi.org/10.51400/2709-6998.2658","url":null,"abstract":"","PeriodicalId":50149,"journal":{"name":"Journal of Marine Science and Technology-Taiwan","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49259524","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
C. Shih, Qingchao Chen, Y. Lan, Shih-Hui Hsiao, C. Weng
{"title":"Key to the species of Megacalanidae Bathycalanus occurring in the China Seas","authors":"C. Shih, Qingchao Chen, Y. Lan, Shih-Hui Hsiao, C. Weng","doi":"10.51400/2709-6998.2642","DOIUrl":"https://doi.org/10.51400/2709-6998.2642","url":null,"abstract":"","PeriodicalId":50149,"journal":{"name":"Journal of Marine Science and Technology-Taiwan","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43413849","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
C. Shih, Qingchao Chen, Y. Lan, Shih-Hui Hsiao, C. Weng
{"title":"Key to the species of Scolecitrichidae Racovitzanus occurring in the China seas","authors":"C. Shih, Qingchao Chen, Y. Lan, Shih-Hui Hsiao, C. Weng","doi":"10.51400/2709-6998.2667","DOIUrl":"https://doi.org/10.51400/2709-6998.2667","url":null,"abstract":"","PeriodicalId":50149,"journal":{"name":"Journal of Marine Science and Technology-Taiwan","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47900916","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：