Progress in Fractional Differentiation & Applications
Article Title
Extended Spectral Method for Fractional order Three-dimensional Heat Conduction Problem
Abstract
This paper presents new operational matrices of fractional integral and derivatives for shifted Legendre polynomials. These operational matrices are employed to design a new spectral method for solving three-dimensional heat conduction problem. The main advantage of the proposed method is to reduce this complicated problem with its initial and boundary conditions into a system of easily solvable algebraic equations. The efficiency of the proposed method is shown with some test problems. The results are displayed graphically.
Suggested Reviewers
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Recommended Citation
Khalil, Hammad and Ali Khan, Rahmat
(2015)
"Extended Spectral Method for Fractional order Three-dimensional Heat Conduction Problem,"
Progress in Fractional Differentiation & Applications: Vol. 1:
Iss.
3, Article 3.
Available at:
https://digitalcommons.aaru.edu.jo/pfda/vol1/iss3/3