On Applications Shehu Variational Iteration Method to Time Fractional Initial Boundary Value Problems

Authors : Süleyman Çetinkaya, Ali Demir

Pages : 13-20

View : 53 | Download : 66

Publication Date : 2024-04-30

Article Type : Research

Abstract :The purpose of this study is to establish a semi analytical solution for time fractional linear or nonlinear mathematical problems by utilizing Shehu Variational Iteration Method (SVIM). SVIM is made up of two methods, called Shehu transform (ST) and variational iteration method (VIM). First of all, the time fractional differential equation is transformed into integer order differential equation by means of ST. Later, by taking VIM into account the solution of linear or nonlinear mathematical problem is acquired. The convergence analysis of the semi analytical solution is investigated and proves that SVIM is an accurate and effective method for fractional mathematical problems. The illustrated examples support analysis of this method.
Keywords : Liouville-Caputo Derivative, Nonlinear Mathematical Problem, Shehu Transform, Variational Iteration Method