A Decomposition Method for Solving q-Difference Equations

Authors

Hossein Jafari, Department of Mathematical Sciences, University of South Africa, PO Box 392, UNISA 0003, South Africa.\\ Department of Mathematics, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Iran.Follow
Sarah Jane Johnston, Department of Mathematical Sciences, University of South Africa, PO Box 392, UNISA 0003, South Africa.Follow
Sajad Mahmood Sani, Department of Mathematics, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Iran.Follow
Dumitru Baleanu, Department of Mathematics and Computer Science C¸ ankaya University, Ankara, Turkey\\ Institute of Space Sciences,P.O.BOX, MG-23, R 76900, Magurele-Bucharest, RomaniaFollow

Author Country (or Countries)

Iran.

Abstract

The q-difference equations are important in q-calculus. In this paper, we apply the iterative method which is suggested by Daftardar and Jafari, hereafter called the Daftardar-Jafari method, for solving a type of q-partial differential equations. We discuss the convergency of this method. In the implementation of this technique according to other iterative methods such as Adomian decomposition and homotopy perturbation methods, one does not need the calculation of the Adomian’s polynomials for nonlinear terms. It is proven that under a special constraint, the given result by this method converges to exact solution of nonlinear q-ordinary or q-partial differential equations.

Recommended Citation

Jafari, Hossein; Jane Johnston, Sarah; Mahmood Sani, Sajad; and Baleanu, Dumitru (2015) "A Decomposition Method for Solving q-Difference Equations," Applied Mathematics & Information Sciences: Vol. 09: Iss. 6, Article 18.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss6/18