TITLE

A new numerical technique for local fractional diffusion equation in fractal heat transfer

AUTHOR(S)
Xiao-Jun Yang; Machado, J. A. Tenreiro; Baleanu, Dumitru; Feng Gao
PUB. DATE
October 2016
SOURCE
Journal of Nonlinear Sciences & Applications (JNSA);2016, Vol. 9 Issue 10, p5621
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
In this paper, a new numerical approach, embedding the differential transform (DT) and Laplace transform (LT), is firstly proposed. It is considered in the local fractional derivative operator for obtaining the non-differential solution for diffusion equation in fractal heat transfer.
ACCESSION #
119561556

 

Related Articles

  • Analytical solution for the time-fractional Pennes bioheat transfer equation on skin tissue. Zhoujin Cui; Guidong Chen; Rui Zhang // Advanced Materials Research;2014, Vol. 1049-1050, p1471 

    This study focuses on analytical solution of a fractional Pennes bioheat transfer equation on skin tissue. The method of separating variables, finite Fourier sine transformation, Laplace transformation and their corresponding inverse transforms are used to solve this equation with three kinds of...

  • On the boundary value problem for the heat equation in the degenerating domain. Jenaliyev, M.; Ramazanov, M. // AIP Conference Proceedings;2016, Vol. 1789 Issue 1, p1 

    In this work, the domain has the peculiarity of degeneration at initial time according to the low x(t) = tω, ω > 1/2. These problems have the great importance for applications. We show that the homogeneous boundary value problem for the heat equation in the degenerating domain has a...

  • Numerical Analysis of Bio-Heat Transfer in a Spherical Tissue. Po-Jen Cheng; Kuo-Chi Liu // Journal of Applied Sciences;2009, Vol. 9 Issue 5, p962 

    This study uses the Pennes bioheat equation in spherical co-ordinates to describe the heat transport occurring in biological tissues during magnetic tumor hyperthermia. A hybrid numerical scheme based on the Laplace transform, change of variables and the modified discretization technique in...

  • Some Remarks on the Sumudu and Laplace Transforms and Applications to Differential Equations. Kılıçman, Adem; Eltayeb, Hassan // ISRN Applied Mathematics;2012, p1 

    We study the relationship between Sumudu and Laplace transforms and further make some comparison on the solutions. We provide some counterexamples where if the solution of differential equations exists by Laplace transform, the solution does not necessarily exist by using the Sumudu transform;...

  • Mediated Measurement of the Parameters of Nonstationary Processes in Long Line Systems. Domrachev, V.; Retinskii, V.; Retinskaya, I. // Measurement Techniques;Oct2016, Vol. 59 Issue 7, p703 

    A method for use in data-measurement systems for design and control of long-line networks is described. The model method is based on the numerical inverse Laplace transform in long-line systems. Its application is illustrated for systems with parabolic differential equations and linear coupling.

  • Entropy Generation Rate During Laser Short Pulse Heating: Contribution of Heat Transfer and Thermal Stress. AL-QAHTANI, H.; YILBAS, B. S. // Lasers in Engineering (Old City Publishing);2013, Vol. 25 Issue 5/6, p371 

    Laser short-pulse heating of steel substrate is considered and entropy generation rate due to heat transfer and thermal stress development is examined. Cattaneo heat equation is incorporated to account for the hyperbolic behaviour of temperature field in the laser irradiated region. The closed...

  • Upscaling the CoupledWater Flow and Heat Transfer in the Subsurface - Comparison between Numerical and Field Data. Sviercoski, R. F.; Efendiev, Y.; Mohanty, B.; Yuan, Y. J. // AIP Conference Proceedings;2015, Vol. 1684 Issue 1, p1 

    The simultaneous movement of liquid water, water vapor, and heat in the vadose zone plays a critical role in the overall water and energy balance of the near surface environment. Moisture near the soil surface is influenced by evaporation, precipitation, liquid water flow, and water vapor flow,...

  • A Method of Solution for the One-Dimensional Heat Equation Subject to Nonlocal Conditions. Ang, W. T. // Southeast Asian Bulletin of Mathematics;2002, Vol. 26 Issue 2, p185 

    The problem of solving the one-dimensional heat equation ∂φ/∂t-∂[sup 2] φ/∂x[sup 2] =f(x,t) subject to given initial and nonlocal conditions is considered. It is solved in the Laplace transform domain by taking the Laplace transform of the unknown function φ...

  • Unsteady Magnetohydrodynamic Heat Transfer in a Semi-Infinite Porous Medium with Thermal Radiation Flux: Analytical and Numerical Study. Anwar B�g, O.; Zueco, J.; Ghosh, S. K.; Heidari, Alireza // Advances in Numerical Analysis;2011, p1 

    The unsteady, buoyancy-induced, hydromagnetic, thermal convection flow in a semi-infinite porous regime adjacent to an infinite hot vertical plate moving with constant velocity, is studied in the presence of significant thermal radiation. The momentum and energy conservation equations are...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics