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Saeed Hatamzadeh-Varmazyar

Bio: Saeed Hatamzadeh-Varmazyar is an academic researcher from Islamic Azad University. The author has contributed to research in topics: Integral equation & Numerical analysis. The author has an hindex of 9, co-authored 25 publications receiving 375 citations.

Papers
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Journal ArticleDOI
TL;DR: An effective direct method to determine the numerical solution of the specific nonlinear Volterra-Fredholm integro-differential equations is proposed, based on new vector forms for representation of triangular functions and its operational matrix.
Abstract: An effective direct method to determine the numerical solution of the specific nonlinear Volterra-Fredholm integro-differential equations is proposed. The method is based on new vector forms for representation of triangular functions and its operational matrix. This approach needs no integration, so all calculations can be easily implemented. Some numerical examples are provided to illustrate the accuracy and computational efficiency of the method.

91 citations

Journal ArticleDOI
TL;DR: In this article, an effective numerical method for solving the electromagnetic scattering problem based on the method of moments and using block-pulse basis functions is proposed, which can be generalized to apply to objects of arbitrary geometry and arbitrary material.
Abstract: In this paper a moment method simulation of electromag- netic scattering problem is presented. An effective numerical method for solving this problem based on the method of moments and using block-pulse basis functions is proposed. Some examples of engineer- ing interest are included to illustrate the procedure. The scattering problem is treated in detail, and illustrative computations are given for some cases. This method can be generalized to apply to objects of arbitrary geometry and arbitrary material.

52 citations

Journal ArticleDOI
TL;DR: In this article, Babolian, Masouri, and Hatamzadeh-Varmazyar proposed a direct method to determine the numerical solution of specific nonlinear Volterra-Fredholm integral and integro-differential equations.
Abstract: A new and effective direct method to determine the numerical solution of specific nonlinear Volterra-Fredholm integral and integro-differential equations is proposed. The method is based on vector forms of block-pulse functions (BPFs). By using BPFs and its operational matrix of integration, an integral or integro-differential equation can be transformed to a nonlinear system of algebraic equations. Some numerical examples are provided to illustrate accuracy and computational efficiency of the method. Finally, the error evaluation of this method is presented. The benefits of this method are low cost of setting up the equations without applying any projection method such as Galerkin, collocation, . . . . Also, the nonlinear system of algebraic equations is sparse. 60 Babolian, Masouri, and Hatamzadeh-Varmazyar

48 citations

Journal Article
TL;DR: In this article, Babolian and Hatamzadeh-Varmazyar proposed a direct method to compute numerical solutions of the linear Volterra and Fredholm integral equations system.
Abstract: E. Babolian a, Z. Masouri b , S. Hatamzadeh-Varmazyar c (a) Department of Mathematics, Teacher Training University, Tehran, Iran (b) Department of Mathematics, Khorramabad Branch, Islamic Azad University, Khorramabad, Iran (c) Department of Electrical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran |||||||||||||||||||||||||||||||Abstract A practical direct method to compute numerical solutions of the linear Volterra and Fredholm integral equations system is proposed. This approach is based on vector forms of triangular functions and its operational matrices and without any integration reduces an integral equations system to a system of algebraic equations. Numerical results of some examples show that the method is practical and has high accuracy.

31 citations

Journal ArticleDOI
TL;DR: In this article, an effective numerical method for determining the scattered electromagnetic fields from thin wires is presented and discussed, which is modeled by the integral equations of the first kind, and illustrative computations are given for several cases.
Abstract: In this paper an effective numerical method for determining the scattered electromagnetic fields from thin wires is presented and discussed. This problem is modeled by the integral equations of the first kind. The basic mathematical concept is the method of moments. The problem of determining these scattered fields is treated in detail, and illustrative computations are given for several cases.

30 citations


Cited by
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Book ChapterDOI
06 Jan 2000
TL;DR: Methods of numerical integration will lead you to always think more and more, and this book will be always right for you.
Abstract: Want to get experience? Want to get any ideas to create new things in your life? Read methods of numerical integration now! By reading this book as soon as possible, you can renew the situation to get the inspirations. Yeah, this way will lead you to always think more and more. In this case, this book will be always right for you. When you can observe more about the book, you will know why you need this.

784 citations

Journal ArticleDOI
TL;DR: Chebyshev wavelet operational matrix of the fractional integration is derived and used to solve a nonlinear fractional differential equations as mentioned in this paper, and some examples are included to demonstrate the validity and applicability of the technique.

245 citations

Journal ArticleDOI
TL;DR: An effective direct method to determine the numerical solution of the specific nonlinear Volterra-Fredholm integro-differential equations is proposed, based on new vector forms for representation of triangular functions and its operational matrix.
Abstract: An effective direct method to determine the numerical solution of the specific nonlinear Volterra-Fredholm integro-differential equations is proposed. The method is based on new vector forms for representation of triangular functions and its operational matrix. This approach needs no integration, so all calculations can be easily implemented. Some numerical examples are provided to illustrate the accuracy and computational efficiency of the method.

91 citations

Journal ArticleDOI
TL;DR: An approach for obtaining the numerical solution of the nonlinear Volterra-Fredholm integro-differential (NVFID) equations using hybrid Legendre polynomials and Block-Pulse functions that reduces NVFID equations to a system of algebraic equations, which greatly simplifying the problem.
Abstract: This paper introduces an approach for obtaining the numerical solution of the nonlinear Volterra-Fredholm integro-differential (NVFID) equations using hybrid Legendre polynomials and Block-Pulse functions. These hybrid functions and their operational matrices are used for representing matrix form of these equations. The main characteristic of this approach is that it reduces NVFID equations to a system of algebraic equations, which greatly simplifying the problem. Numerical examples illustrate the validity and applicability of the proposed method.

84 citations

Journal ArticleDOI
TL;DR: In this paper, the numerical solution of nonlinear Fredholm-volterra integro-differential equations using reproducing kernel Hilbert space method is investigated, where the solution is represented in the form of series in the Reproducing kernel space.
Abstract: This paper investigates the numerical solution of nonlinear Fredholm-Volterra integro-differential equations using reproducing kernel Hilbert space method. The solution 𝑢(𝑥) is represented in the form of series in the reproducing kernel space. In the mean time, the n-term approximate solution 𝑢𝑛(𝑥) is obtained and it is proved to converge to the exact solution 𝑢(𝑥). Furthermore, the proposed method has an advantage that it is possible to pick any point in the interval of integration and as well the approximate solution and its derivative will be applicable. Numerical examples are included to demonstrate the accuracy and applicability of the presented technique. The results reveal that the method is very effective and simple.

80 citations