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作者:Yaser Rostami , Khosrow Maleknejad
来源:[J].Mediterranean Journal of Mathematics(IF 0.641), 2017, Vol.14 (3)Springer
摘要:In this paper we study the numerical solution of initial-boundary problem for parabolic Volterra integro-differential equations in one dimensional. These equations include the partial differentiation of an unknown function and the integral term containing the unknown function whi...
作者:Mohamadreza Mohsenyzadeh , Khosrow Maleknejad , Reza Ezzati
来源:[J].Advances in Difference Equations(IF 0.76), 2015, Vol.2015 (1), pp.1-10Springer
摘要:Abstract(#br)The purpose of this paper is to introduce a novel approach based on the operational matrix of orthonormal Bernoulli polynomial for the numerical solution of the class of singular second-order boundary value problems that arise in physiology. The main thrust of this a...
作者:Morteza Khodabin , Khosrow Maleknejad , Mahnaz Asgari
来源:[J].Advances in Difference Equations(IF 0.76), 2013, Vol.2013 (1), pp.1-9Springer
摘要:Abstract(#br)In this paper, we introduce a stochastic population model in a closed system. This model is a nonlinear stochastic integro-differential equation. At first, we solve this problem via the stochastic θ -method. Then we solve it by using the Bernstein polynomials an...
作者:Khosrow Maleknejad , Kazem Nouri , Leila Torkzadeh
来源:[J].Mediterranean Journal of Mathematics(IF 0.641), 2016, Vol.13 (3), pp.1377-1390Springer
摘要:Abstract(#br)This paper is devoted to studying a computational method for solving multi-term differential equations based on new operational matrix of shifted second kind Chebyshev polynomials. The properties of the operational matrix of fractional integration are exploited ...
作者:Yaser Rostami , Khosrow Maleknejad
来源:[J].Mediterranean Journal of Mathematics(IF 0.641), 2016, Vol.13 (6), pp.4819-4828Springer
摘要:Abstract(#br)Analytical solution of the two-dimensional integral equations are usually difficult. In many cases, approximate solutions are required. In this paper, we study the approximate solution for two-dimensional Fredholm integral equations of the first kind by two-dimension...
作者:Khadijeh Nedaiasl , Raziyeh Dehbozorgi , Khosrow Maleknejad
来源:[J].Applied Numerical Mathematics(IF 1.152), 2019Elsevier
摘要:Abstract(#br)In this paper, we present a collocation method for nonlinear Volterra integral equation of the first kind. This method benefits from the idea of hp -version projection methods. We provide an approximation based on the Legendre polynomial interpolation. The convergenc...
作者:Khosrow Maleknejad , Hossein Mohammadikia , Jalil Rashidinia
来源:[J].Iranian Journal of Science and Technology, Transactions A: Science(IF 0.2), 2019, Vol.43 (5), pp.2253-2260Springer
摘要:Abstract(#br)In this paper, an efficient numerical method is proposed for solving a class of two-dimensional nonlinear Volterra–Fredholm integral equations of the second kind based on two-dimensional radial basis functions (RBFs). This method is based on a hybrid of radial b...
作者:Khosrow Maleknejad , Iraj Najafi Khalilsaraye , Mahdieh Alizadeh
来源:[J].Numerical Algorithms(IF 1.128), 2014, Vol.65 (2), pp.355-374Springer
摘要:Abstract(#br)In this paper, we present an existence of solution for a functional integro-differential equation with an integral boundary condition arising in chemical engineering, underground water flow and population dynamics, and other field of physics and mathematical che...
作者:Ali Khademi , Khosrow Maleknejad
来源:[J].Applied Mathematics Letters(IF 1.501), 2013, Vol.26 (12), pp.1198-1205Elsevier
摘要:Abstract(#br)This study tries to reach a new order of convergence at the collocation points. For this reason we estimated the solution of the Volterra integral equation to lower and upper solutions on the S m − 1 ( − 1 ) whose elements are spline polynomials of degree m...

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