Fractional variational iteration method for solving two-dimensional Stefan problem with fractional order derivative | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 174، دوره 13، شماره 2، مهر 2022، صفحه 2167-2174 اصل مقاله (827.45 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6561 | ||
| نویسندگان | ||
| Adnan Yassean Nama1، 2؛ Fadhel S. Fadhel* 3 | ||
| 1Department of Mathematics, College of Education for Pure Science, Ibn Al- Haitham, University of Baghdad, Baghdad, Iraq | ||
| 2Department of Mathematics, College of Education for Pure Science, University of Thi-Qar, Thi-Qar, Iraq | ||
| 3Department of Mathematics and Computer Applications, College of Science, Al-Nahrian University, Baghdad, Iraq | ||
| چکیده | ||
| In this paper, we present a mathematical model of Stefan problem, this model is ice melting problem where the interface of solid/liquid moves along the y-axis, which is including time fractional derivative in Jumarie sense. The obtained solution of this problem is an approximate solution using fractional variational iteration method. Graphically the results will be compared with an exact solution to the integer order derivatives. | ||
| کلیدواژهها | ||
| Fractional variational iteration method؛ Two-dimensional problem؛ Moving boundary value problem؛ Modified Remann-Lioville fractional derivative؛ Stefan problem؛ Parabolic equation | ||
| مراجع | ||
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