eprintid: 17855 rev_number: 2 eprint_status: archive userid: 1 dir: disk0/00/01/78/55 datestamp: 2023-12-19 03:24:09 lastmod: 2023-12-19 03:24:09 status_changed: 2023-12-19 03:08:48 type: article metadata_visibility: show creators_name: Zainuddin, N. creators_name: Soomro, H. creators_name: Jamaludin, N. creators_name: Yatim, S.A.M. creators_name: Ibrahim, Z.B. title: Numerical Solution of Oil Spill Weathering with Two Points Block Backward Differentiation Formula ispublished: pub note: cited By 0 abstract: In this paper, the oil-weathering model, which consists of four first order ordinary differential equations (ODEs), were solved by using two-point block backward differentiation formula (2BDF). The 2BDF method gives two approximations for each integration step with a fixed ratio of changing step sizes. These four ODEs provide solutions for the oil slick area, fraction of evaporation, fraction of emulsification, and fraction of dissolution for the oil spill. Subsequently, these solutions were used to calculate the changes in the oil spill density and viscosity. The result was generated for crude oil at the temperatures of 273K and 283K with the water content at a maximum of 80. Numerical solutions gained from 2BDF were plotted against the solutions from ode45. Error of computations between these two solvers suggests that the 2BDF can be an alternative method for the simulation of oil-weathering models. © 2022, Institute of Technology PETRONAS Sdn Bhd. date: 2022 publisher: Springer Science and Business Media Deutschland GmbH official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85115397690&doi=10.1007%2f978-3-030-79606-8_8&partnerID=40&md5=3c3d68c6c2455b9d70a642038575e4dd id_number: 10.1007/978-3-030-79606-8₈ full_text_status: none publication: Studies in Systems, Decision and Control volume: 383 pagerange: 107-121 refereed: TRUE issn: 21984182 citation: Zainuddin, N. and Soomro, H. and Jamaludin, N. and Yatim, S.A.M. and Ibrahim, Z.B. (2022) Numerical Solution of Oil Spill Weathering with Two Points Block Backward Differentiation Formula. Studies in Systems, Decision and Control, 383. pp. 107-121. ISSN 21984182