Iterative Methods for Solving Fourth and Sixth Order Time-fractional Cahn-Hillard Equation
Analysis of PDEs
2019-08-09 v2 Mathematical Physics
math.MP
Abstract
This paper presents analytical-approximate solutions of the time-fractional Cahn-Hilliard (TFCH) equations of fourth and sixth-order using the new iterative method (NIM) and q-homotopy analysis method (q-HAM). We obtained convergent series solutions using these iterative methods. The simplicity and accuracy of these methods in solving strongly nonlinear fractional differential equations is displayed through the examples provided. In the case where exact solution exists, error estimates are also investigated.
Cite
@article{arxiv.1903.10337,
title = {Iterative Methods for Solving Fourth and Sixth Order Time-fractional Cahn-Hillard Equation},
author = {Lanre Akinyemi and Olaniyi S. Iyiola and Udoh Akpan},
journal= {arXiv preprint arXiv:1903.10337},
year = {2019}
}
Comments
29 pages, Corrected typos, added the fourth order analysis