Fractional variational iteration method for solving two-dimensional Stefan problem with fractional order derivative

نویسندگان

1 Department of Mathematics, College of Education for Pure Science, Ibn Al- Haitham, University of Baghdad, Baghdad, Iraq

2 Department of Mathematics, College of Education for Pure Science, University of Thi-Qar, Thi-Qar, Iraq

doi
10.22075/ijnaa.2022.6561
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.