Approximate Solution of Fuzzy Sedimentary Ocean Basin Boundary Value Problem Using Variational Iteration Method

Sinan Hatif; Alzubaidi Fadhel Subhi

doi:10.11113/mjfas.v20n5.3604

Authors

Sinan Hatif ᵃDepartment of Mathematics, College of Computer Science and Mathematics, Tikrit University, Tikrit, Iraq ᵇDepartment of Mathematics, College of Education for Pure Science (Ibn Al-Haytham), University of Baghdad, Baghdad, Iraq
Alzubaidi Fadhel Subhi Department of Mathematics and Computer Applications, College of Sciences, Al-Nahrain University, Jadriya, Baghdad, Iraq

DOI:

https://doi.org/10.11113/mjfas.v20n5.3604

Keywords:

Fuzzy variational iteration method, moving boundary value problem, fuzzy sediment transport, fuzzy shoreline problem.

Abstract

The problem that is considered in this paper is developed from the migration of the coastline over time in sedimentary ocean basins that may be considered as a moving boundary problem with a variable latent heat transfer equation as a governing equation if one of the boundaries is unknown, with boundary and initial conditions are given. This model discusses the shoreline movement within sedimentary basins. The main objective of the paper is to use fuzzy logic to formulate this problem when modelling sand particles migration in saltwater by utilizing fuzzy numbers whenever replacing some of the problem's parameters. In reality, the proposed model is more general than the nonfuzzy or crisp models. By employing the variational iteration method, the approximate numerical solution of the proposed problem has been found, and computer software written in Mathematica 11 have been used to obtain the results.

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