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Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy pp 65–77Cite as

A Novel Hybrid Approach to the Sixth-Order Cahn-Hillard Time-Fractional Equation

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Part of the Advances in Intelligent Systems and Computing book series (AISC,volume 1287)

Abstract

This research focuses on the numerical analysis of the time-fractional sixth-order Cahn-Hillard equation by a novel hybrid approach using new integral and projected differential transform processes. Compared to other techniques, the new integrated projected differential transforms process, NIPDTM is much more effective and easier to handle. The results from the illustrative cases indicate the competence and consistency of the proposed procedure. The graphical result achieved through the presented method compared to the numerical integration method (NIM) and the q-homotopy analysis method (q-HAM) solution. The suggested method simplifies the calculation and makes it very simple to handle nonlinear terms with this method without using Adomian’s & He’s polynomial.

Keywords

  • Integral transform method
  • Projected differential transform method
  • Sixth-order time-fractional Cahn-Hillard Equation

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Authors and Affiliations

  1. Department of Mathematics, Center of Education, Indian Institute of Teacher Education, Gandhinagar, Gujarat, India

    Kunjan Shah

  2. Indian Institute of Teacher Education, Gandhinagar, Gujarat, India

    Himanshu Patel

Authors
  1. Kunjan Shah
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  2. Himanshu Patel
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Correspondence to Kunjan Shah .

Editor information

Editors and Affiliations

  1. Department of Mathematics, School of Technology, Pandit Deendayal Petroleum University, Gandhinagar, India

    Dr. Manoj Sahni

  2. University of Technology Sydney, Sydney, NSW, Australia

    Prof. José M. Merigó

  3. Department of Mathematics, School of Technology, Pandit Deendayal Petroleum University, Gandhinagar, India

    Dr. Brajesh Kumar Jha

  4. Department of Management Control and Information Systems, University of Chile, Santiago, Chile

    Dr. Rajkumar Verma

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Shah, K., Patel, H. (2021). A Novel Hybrid Approach to the Sixth-Order Cahn-Hillard Time-Fractional Equation. In: Sahni, M., Merigó, J.M., Jha, B.K., Verma, R. (eds) Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy. Advances in Intelligent Systems and Computing, vol 1287. Springer, Singapore. https://doi.org/10.1007/978-981-15-9953-8_7

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