{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T01:56:49Z","timestamp":1760234209187,"version":"build-2065373602"},"reference-count":26,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2021,3,26]],"date-time":"2021-03-26T00:00:00Z","timestamp":1616716800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, 10400, Bangkok, Thailand","award":["RG-01-62-02-1"],"award-info":[{"award-number":["RG-01-62-02-1"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computation"],"abstract":"<jats:p>Beach erosion is a natural phenomenon that is not compensated by depositing fresh material on the shoreline while transporting sand away from the shoreline. There are three phenomena that have a serious influence on the coastal structure, such as increases in flooding, accretion, and water levels. In addition, the prediction of coastal evolution is used to investigate the topography of the beach. In this research, we present a one-dimensional mathematical model of shoreline evolution, and the parameters that influence this model are described on a monthly basis over a period of one year. Consideration is given to the wave crest impact model for evaluating the impact of the wave crest at that stage. It focuses on the evolution of the shoreline in environments where groins are installed on both sides. The initial and boundary condition setting techniques are proposed by the groins and their environmental parameters. The non-uniform influence of the crest of the breaking wave is so often considered. We then used the traditional forward time centered space technique and the Saulyev finite difference technique to estimate the monthly evolution of the shoreline for each year.<\/jats:p>","DOI":"10.3390\/computation9040042","type":"journal-article","created":{"date-parts":[[2021,3,26]],"date-time":"2021-03-26T06:59:42Z","timestamp":1616741982000},"page":"42","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Shoreline Evolution Model with a Groin Structure under Non-Uniform Breaking Wave Crest Impact"],"prefix":"10.3390","volume":"9","author":[{"given":"Pidok","family":"Unyapoti","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, King Mongkut\u2019s Institute of Technology Ladkrabang, Bangkok 10520, Thailand"},{"name":"Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok 10400, Thailand"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nopparat","family":"Pochai","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, King Mongkut\u2019s Institute of Technology Ladkrabang, Bangkok 10520, Thailand"},{"name":"Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok 10400, Thailand"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,3,26]]},"reference":[{"key":"ref_1","first-page":"1327","article-title":"Modern functional design of groin systems","volume":"96","author":"Hanson","year":"1994","journal-title":"Coast. 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