Iterative methods for solving fourth‐ and sixth‐order time‐fractional Cahn‐Hillard equation

By Lanre Akinyemi, Olaniyi Samuel Iyiola, Udoh Akpan. Mathematical methods in the applied sciences, 2019

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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 two 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.

Subfields: Materials Chemistry, Modeling and Simulation, Numerical Analysis

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