THERMAL SCIENCE

International Scientific Journal

External Links

LOCAL FRACTIONAL VARIATIONAL ITERATION ALGORITHM III FOR THE DIFFUSION MODEL ASSOCIATED WITH NON-DIFFERENTIABLE HEAT TRANSFER

ABSTRACT
This paper addresses a new application of the local fractional variational iteration algorithm III to solve the local fractional diffusion equation defined on Cantor sets associated with non-differentiable heat transfer.
KEYWORDS
PAPER SUBMITTED: 2015-12-02
PAPER REVISED: 2016-01-15
PAPER ACCEPTED: 2016-01-27
PUBLISHED ONLINE: 2016-09-24
DOI REFERENCE: https://doi.org/10.2298/TSCI16S3781M
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Supplement 3, PAGES [S781 - S784]
REFERENCES
  1. ***, Fractional Dynamics (Eds. C. Cattani, H. M. Srivastava, X.-J. Yang), De Gruyter Open, Berlin, 2015, ISBN 978-3-11-029316-6
  2. Zhang, Y., et al., Local Fractional Variational Iteration Algorithm II for Non-Homogeneous Model Associated with the Non-Differentiable Heat Flow, Advances in Mechanical Engineering, 7 (2015), 10, pp. 1-7
  3. Zhang, Y., et al., Local Fractional Homotopy Perturbation Method for Solving Non-Homogeneous Heat Conduction Equations in Fractal Domains, Entropy, 17 (2015), 10, pp. 6753-6764
  4. Yang, X. J., et al., Approximate Solutions for Diffusion Equations on Cantor Space-Time, Proceedings, Romanian Academy, Series A, 201, Vol. 14, No. 2, pp. 127-133
  5. Yang, X. J., et al., Fractal Boundary Value Problems for Integral and Differential Equations with Local Fractional Operators, Thermal Science, 19 (2015), 3, pp. 959-966
  6. Cao, Y., et al., Local Fractional Functional Method for Solving Diffusion Equations on Cantor Sets, Abstract Applied Analysis, 2014 (2014), ID 803696
  7. Yang, Z., et al., A New Iteration Algorithm for Solving the Diffusion Problem in Non-Differentiable Heat Transfer, Thermal Science, 19 (2015), Suppl. 1, pp. S105-S108
  8. Yang, X. J., et al., Local Fractional Similarity Solution for the Diffusion Equation Defined on Cantor Sets, Applied Mathematical Letters, 47 (2015), Mar., pp. 54-60
  9. Yang, X. J., et al., A New Numerical Technique for Solving the Local Fractional Diffusion Equation: Two-Dimensional Extended Differential Transform Approach, Applied Mathematics and Computation, 274 (2016), 1, pp. 143-151
  10. Yang, X.-J., et al., Local Fractional Homotopy Perturbation Method for Solving Fractal Partial Differential Equations Arising in Mathematical Physics, Romanian Reports in Physics, 67 (2015), 3, pp. 752-761
  11. Yang, X. J., Local Fractional Kernel Transform in Fractal Space and Its Applications, Advances in Computational Mathematics and its Applications, 1 (2012), 2, pp. 86-93
  12. Yang, X. J., Baleanu, D., Fractal Heat Conduction Problem Solved by Local Fractional Variation Iteration Method, Thermal Science, 17 (2013), 2, pp. 625-628
  13. Liu, H. Y., et al., Fractional Calculus for Nanoscale Flow and Heat Transfer, International Journal of Numerical Methods for Heat & Fluid Flow, 24 (2014), 6, pp. 1227-1250

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence