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Fractional Variational Iteration Method for Time Fractional Fourth-Order Diffusion-Wave Equation

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Mathematical Modelling, Applied Analysis and Computation (ICMMAAC 2018)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 272))

Abstract

In the present article, Fractional variational iteration method (FVIM) is used to solve numerically time-fractional diffusion wave equation of order four. By using FVIM we obtain a sequence converging rapidly to the exact solution of the fourth order fractional diffusion wave equation. Two test problem are presented to prove the merit of the proposed technique. Plotted graph shows that the numerical solution acquired by employed technique is similar to the exact solution.

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Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology, Kurukshetra, Kurukshetra, 136119, India

    Amit Prakash & Manoj Kumar

Authors
  1. Amit Prakash
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  2. Manoj Kumar
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Corresponding author

Correspondence to Amit Prakash .

Editor information

Editors and Affiliations

  1. Department of Mathematics, JECRC University, Jaipur, Rajasthan, India

    Jagdev Singh

  2. Department of Mathematics, University of Rajasthan, Jaipur, Rajasthan, India

    Devendra Kumar

  3. Department of Mathematics, Gauhati University, Guwahati, Assam, India

    Hemen Dutta

  4. Department of Mathematics, Cankaya University, Balgat, Ankara, Turkey

    Dumitru Baleanu

  5. Department of Mathematics, Rajasthan Technical University, Kota, Rajasthan, India

    Sunil Dutt Purohit

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Prakash, A., Kumar, M. (2019). Fractional Variational Iteration Method for Time Fractional Fourth-Order Diffusion-Wave Equation. In: Singh, J., Kumar, D., Dutta, H., Baleanu, D., Purohit, S. (eds) Mathematical Modelling, Applied Analysis and Computation. ICMMAAC 2018. Springer Proceedings in Mathematics & Statistics, vol 272. Springer, Singapore. https://doi.org/10.1007/978-981-13-9608-3_11

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