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

Document Type : Research Paper

Authors

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

3 Department of Mathematics and Computer Applications, College of Science, Al-Nahrian University, Baghdad, Iraq

Abstract

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.

Keywords

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###### Volume 13, Issue 2July 2022Pages 2167-2174
• Receive Date: 12 February 2022
• Revise Date: 19 February 2022
• Accept Date: 16 March 2022