A. Tari Marzabad
Department of Mathematics, Shahed University, Tehran, Iran.
[ 1 ] - Solving two-dimensional fractional integro-differential equations by Legendre wavelets
In this paper, we introduce the two-dimensional Legendre wavelets (2D-LWs), and develop them for solving a class of two-dimensional integro-differential equations (2D-IDEs) of fractional order. We also investigate convergence of the method. Finally, we give some illustrative examples to demonstrate the validity and efficiency of the method.
[ 2 ] - Existence of an $L^p$-solution for two dimensional integral equations of the Hammerstein type
In this paper, existence of an $L^p$-solution for 2DIEs (Two Dimensional Integral Equations) of the Hammerstein type is discussed. The main tools in this discussion are Schaefer's and Schauder's fixed point theorems with a general version of Gronwall's inequality.
[ 4 ] - Numerical solution of two-dimensional integral equations of the first kind by multi-step methods
In this paper, we develop multi-step methods to solve a class of two-dimensional nonlinear Volterra integral equations (2D-NVIEs) of the first kind. Here, we convert a 2D-NVIE of the first kind to a one-dimensional linear VIE of the first kind and then we solve the resulted equation numerically by multi-step methods. We also verify convergence and error analysis of the method. At t...
[ 5 ] - ارائه مدل معادله انتگرال-دیفرانسیل برای شیوع سوءمصرف مواد مخدر
Objective: As drugs use spreading has grown worldwide and depends on social interactions of addicted individuals on another people. The aim of this paper is to introduce an integro-differential equation model for drugs use spread among people of the observed population. Method: The connection structures of the discrete systems tend to be richer than that of the integro-differential equation mod...
نویسندگان همکار