THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

A MODIFIED REPRODUCING KERNEL METHOD FOR A TIME-FRACTIONAL TELEGRAPH EQUATION

ABSTRACT
The aim of this work is to obtain a numerical solution of a time-fractional telegraph equation by a modified reproducing kernel method. Two numerical examples are given to show that the present method overcomes the drawback of the traditional reproducing kernel method and it is an easy and effective method.
KEYWORDS
PAPER SUBMITTED: 2016-06-15
PAPER REVISED: 2016-08-04
PAPER ACCEPTED: 2016-10-25
PUBLISHED ONLINE: 2017-09-09
DOI REFERENCE: https://doi.org/10.2298/TSCI160615037W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Issue 4, PAGES [1575 - 1580]
REFERENCES
  1. Cazares-Ramirez, R. I., Espinosa-Paredes, G., Time-Fractional Telegraph Equation for Hydrogen Diffu-sion during Severe Accident in BWRs, Journal of King Saud University-Science, 28 (2016), 1, pp. 21-28
  2. Hashemi, M. S., Baleanu, D., Numerical Approximation of Higher-Order Time-Fractional Telegraph Equation by Using a Combination of a Geometric Approach and Method of Line, Journal of Computa-tional Physics, 316 (2016), 1, pp. 10-20
  3. Hosseini, V.R., et al., Numerical Solution of Fractional Telegraph Equation by Using Radial Basis Func-tions , Engineering Analysis with Boundary Elements, 38 (2014), Jan., pp. 31-39
  4. Jiang, W., Lin, Y.Z., Representation of Exact Solution for the Time-Fractional Telegraph Equation in the Reproducing Kernel Space, Communications in Nonlinear Science and Numerical Simulation, 16 (2011), 9, pp. 3639-3645
  5. Wang, L. Y., Su, L. J., Using Reproducing Kernel for Solving a Class of Singularly Perturbed Problems, Computers and Mathematics with Applications, 61 (2011), 2, pp. 421-430
  6. Geng, F. Z., Qian, S. P., Piecewise Reproducing Kernel Method for Singularly Perturbed Delay Initial Value Problems, Applied Mathematics Letters. 37 (2014), Nov., pp. 67-71
  7. He, J.-H., A Tutorial Review on Fractal Spacetime and Fractional Calculus, International Journal of Theoretical Physics, 53 (2014), 11, pp. 3698-3718
  8. Hu, Y., He, J.-H., Fractal Space-Time and Fractional Calculus, Thermal Science, 20 (2016), 3, pp. 773-777
  9. Wang, K. L., Liu, S. Y., He's Fractional Derivative for Nonlinear Fractional Heat Transfer Equation, Thermal Science, 20 (2016), 3, pp. 793-796
  10. Wang, K. L., Liu, S. Y., A New Solution Procedure for Nonlinear Fractional Porous Media Equation Based on a New Fractional Derivative, Nonlinear Science Letters A, 7 (2016), 4, pp. 135-140
  11. Liu, F. J., et al., A Fractional Model for Insulation Clothing with Cocoon-Like Porous Structure, Ther-mal Science, 20 (2016), 3, pp. 779-784
  12. Zhu, W. H., et al., An Analysis of Heat Conduction in Polar Bear Hairs Using One-Dimensional Frac-tional Model, Thermal Science, 20 (2016), 3, pp. 785-788
  13. He, J.-H., A Tutorial Review on Fractal Spacetime and Fractional Calculus, International Journal of Theoretical Physics, 53 (2014), 11, pp. 3698-3718

© 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