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A New Numerical Technique for Local Fractional Diffusion Equation in Fractal Heat Transfer

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2016

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int Scientific Research Publications

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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. (C) 2016 All rights reserved.

Description

Yang, Xiao-Jun/0000-0003-0009-4599; Tenreiro Machado, J. A./0000-0003-4274-4879

Keywords

Numerical Solution, Diffusion Equation, Differential Transform, Laplace Transform, Fractal Heat Transfer, Local Fractional Derivative

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Citation

Yang, Xiao-Jun...et al. (2016). "A new numerical technique for local fractional diffusion equation in fractal heat transfer", Journal of Nonlinear Sciences and Applications, Vol. 9, No. 10, pp. 5621-5628.

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OpenCitations Citation Count
28

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Volume

9

Issue

10

Start Page

5621

End Page

5628
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CrossRef : 3

Scopus : 33

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Mendeley Readers : 7

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31

checked on Nov 25, 2025

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2.87142578

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