پديدآورندگان :
Seddighi Chaharborj Shahriar Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran , Mahmoudi Yaghoub Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran , Seddighi Chaharborj Sarkhosh email@email.ac.ir 2Department of Mathematics, Islamic Azad University, Bushehr Branch, Bushehr, Iran 2Plasma Physics and Nuclear Fusion Research School, Nuclear Science and Techn
كليدواژه :
Partial differential equations , Fractional order , Chebyshev Neural Network , Feed forward neural network , Taylor series expansion.
چكيده فارسي :
In this paper the problems of fractional partial differential equations (FPDE’s) with variable coefficients are studied. The Chebyshev Neural Network (ChNN) model has been applied to obtain the analytical and numerical solutions of these types of equations. The hidden layer is eliminated by expanding the input pattern by Chebyshev polynomials which employs a single layer neural network. The obtained numerical results form the ChNN model will be compared with the analytical and Taylor series expansion (TSE) solutions.
