Fakhrodin Mohammadi
Department of Mathematics‎, ‎University of ‎Hormozgan‎, ‎P‎. ‎O‎. ‎Box 3995‎, ‎Bandarabbas‎, ‎Iran
[ 1 ] - Wavelet-based numerical method for solving fractional integro-differential equation with a weakly singular kernel
This paper describes and compares application of wavelet basis and Block-Pulse functions (BPFs) for solving fractional integro-differential equation (FIDE) with a weakly singular kernel. First, a collocation method based on Haar wavelets (HW), Legendre wavelet (LW), Chebyshev wavelets (CHW), second kind Chebyshev wavelets (SKCHW), Cos and Sin wavelets (CASW) and BPFs are presented f...
[ 2 ] - A computational wavelet method for numerical solution of stochastic Volterra-Fredholm integral equations
A Legendre wavelet method is presented for numerical solutions of stochastic Volterra-Fredholm integral equations. The main characteristic of the proposed method is that it reduces stochastic Volterra-Fredholm integral equations into a linear system of equations. Convergence and error analysis of the Legendre wavelets basis are investigated. The efficiency and accuracy of the proposed method wa...
[ 3 ] - Numerical study of the radial Schrodinger Equation for Hydrogen atom using Legendre wavelet
This paper deals with the Legendre wavelet (LW) collocation method for the numerical solution of the radial Schrodinger equation for hydrogen atom. Energy eigenvalues for the hydrogen bound system is derived -13.6 eV. Numerical results of the ground state modes of wave function for the hydrogen R(r) or the electron probability density function, has been presented. The numerical results ha...
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