Iterative methods for solving fourth- and sixth-order time-fractional Cahn-Hillard equation |
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Authors: | Lanre Akinyemi Olaniyi S Iyiola Udoh Akpan |
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Institution: | 1. Department of Mathematics, Ohio University, Athens, Ohio;2. Department of Mathematics, Computer Science and Information System, California University of Pennsylvania, California, Pennsylvania |
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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 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. |
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Keywords: | Cahn-Hillard equation fractional derivative new iterative method q-homotopy analysis method |
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