International Scientific Journal

External Links


In this article, some new properties of a novel integral transform termed the Fourier-Yang are explored. The Fourier-Yang integral transforms of several basic functions are given firstly. With the aid of the new integral transform, a 1-D wave equation and 2-D heat transfer equation are solved. The results show that the Fourier-Yang integral transform is efficient in solving PDE.
PAPER REVISED: 2018-06-28
PAPER ACCEPTED: 2018-08-11
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Supplement 3, PAGES [S703 - S709]
  1. Debnath, L., Bhatta, D., Integral Transforms and Their Applications, CRC Press, Boca Raton, Fla., USA, 2014
  2. Yang, X. J., A New Integral Transform Operator for Solving the Heat-Diffusion Problem, Applied Mathematics Letters, 64 (2017), pp. 193-197
  3. Jin, Z. H., Paulino, G. H., Transient Thermal Stress Analysis of an Edge Crack in a Functionally Graded Material, International Journal of Fracture, 107 (2001), 1, pp. 73-98
  4. Kulish, V. V., Lage, J. L., Application of Fractional Calculus to Fluid Mechanics, Journal of Fluids Engineering, 124 (2002), 3, pp. 803-806
  5. Zhao, C., Yang, C., Exact Solutions for Electro-Osmotic Flow of Viscoelastic Fluids in Rectangular Micro-Channels, Applied Mathematics & Computation, 211 (2009), 2, pp. 502-509
  6. Greengard, L., Lee, J. Y., Accelerating the Nonuniform Fast Fourier Transform, Siam Review, 46 (2004), 3, pp. 443-454
  7. Fan, Z., et al., Weak Form Nonuniform Fast Fourier Transform Method for Solving Volume Integral Equations, Progress in Electromagnetics Research, 89 (2009), 4, pp. 275-289
  8. Yokogawa, D., et al., An Integral Equation Theory for 3D Solvation Structure: A New Procedure Free from 3D Fourier Transform, Chemical Physics Letters, 432 (2006), 4, pp. 595-599
  9. Eltayeb, H., et al., A New Integral Transform and Associated Distributions, Integral Transforms & Special Functions, 21 (2010), 5, pp. 367-379
  10. Kumar, D., et al., An Efficient Approach for Fractional Harry Dym Equation by Using Sumudu Transform, Abstract and Applied Analysis, (2013), pp. 1-16
  11. Boyadjiev, L., Luchko, Y., Mellin Integral Transform Approach to Analyze the Multidimensional Diffusion-Wave Equations, Chaos Solitons & Fractals, 102 (2017), pp. 127-134
  12. Elzaki, T. M., The new Integral Transform "Elzaki Transform", Global Journal of Pure & Applied Mathematics, 7 (2011), 1, pp. 57-64
  13. Tarig, E., et al., On the New Integral Transform "ELzaki Transform" Fundamental Properties Investigations and Applications, Global Journal of Mathematical Sciences, 2012
  14. Celeghini, E., Del Olmo, M.A., Quantum Physics and Signal Processing in Rigged Hilbert Spaces by Means of Special Functions, Lie Algebras and Fourier and Fourier-Like Transforms, Journal of Physics: Conference Series, 597 (2015), pp. 012022
  15. Liang, X., et al., Applications of a Novel Integral Transform to Partial Differential Equations, Journal of Nonlinear Science & Applications, 10 (2017), 2, pp. 528-534
  16. Friba, L., Vibration of Solids and Structures under Moving Loads, Springer Science & Business Media ,1(1972), pp. 39-99
  17. Yang, X. J., New Integral Transforms for Solving a Steady Heat Transfer Problem, Thermal Science, 21 (2017), Suppl.1, pp. S79-S87
  18. Beerends, R. J., et al., Fourier and Laplace Transforms, Cambridge University Press, Cambridge, UK, 2003
  19. Dyke, P. P. G., An Introduction to Laplace Transforms and Fourier Series// an Introduction to Laplace transforms and Fourier series, Springer, 2001
  20. Usman, M., et al., Differential Transform Method for Unsteady Nanofluid Flow and Heat Transfer, Alexandria Engineering Journal, 57(2018), 3, PP.1867-1875

© 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