شماره ركورد كنفرانس :
3835
عنوان مقاله :
Legendre operational matrices for solving the fractional two-dimensional heat conduction problems
پديدآورندگان :
Alipour Mohsen Department of Mathematics, Babol Noshirvani University of Technology, Shariati Ave., Babol, Iran , Sajedeh Seyedeh Department of Mathematics, Babol Noshirvani University of Technology, Shariati Ave., Babol, Iran , Pashakolaii Hosseini Department of Mathematics, Babol Noshirvani University of Technology, Shariati Ave., Babol, Iran
كليدواژه :
Legendre polynomials , fractional partial differential equations , operational matrices , two , dimensional heat conduction equation , Caputo fractional derivative , Riemann–Liouville fractional integral.
عنوان كنفرانس :
اولين كنفرانس بين المللي مديريت، نوآوري و توليد ملي
چكيده فارسي :
In this work, we generalize the Legendre operational matrices of Caputo fractional derivatives and Riemann–Liouville fractional integrals to the three dimensional case. Then we apply them to obtain the numerical solutions of the fractional two-dimensional heat conduction equation on a rectangular plane. By the use of these operational matrices, we reduce the corresponding fractional order partial differential equations to a system of easily solvable algebraic equations. The results we obtain are compared with the exact solutions and we find that the error is negligible
