A Weighted Algorithm for Solving a Cauchy Problem of The Sideways Parabolic Equation

Authors : Afshin BABAEİ, Alireza MOHAMMADPOUR

Pages : 1-9

View : 12 | Download : 9

Publication Date : 2018-06-30

Article Type : Research Paper

Abstract :In this paper, a weighted algorithm based on the reduced differential transform method is presented for solving some sideways parabolic equations. The proposed approach uses initial and boundary conditions simultaneously for obtaining an approximate analytical solution of equation. A description of the algorithm to solve the problem and determining the boundary condition is given. Finally, some examples are discussed to show ability of the presented algorithm and to confirm utility of this method.
Keywords : Weighted reduced differential transform method, sideways parabolic equation, inverse problem