S. Shahmorad
Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
[ 1 ] - Approximate solution of dual integral equations
We study dual integral equations which appear in formulation of the potential distribution of an electrified plate with mixed boundary conditions. These equations will be converted to a system of singular integral equations with Cauchy type kernels. Using Chebyshev polynomials, we propose a method to approximate the solution of Cauchy type singular integral equation which will ...
[ 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.
[ 3 ] - A new block by block method for solving two-dimensional linear and nonlinear Volterra integral equations of the first and second kinds
In this paper, we propose a new method for the numerical solution of two-dimensional linear and nonlinear Volterra integral equations of the first and second kinds, which avoids from using starting values. An existence and uniqueness theorem is proved and convergence isverified by using an appropriate variety of the Gronwall inequality. Application of the method is demonstrated for solving the ...
[ 6 ] - Tau Numerical Solution of Volterra Integro-Differential Equations With Arbitrary Polynomial Bases
[ 7 ] - Piecewise cubic interpolation of fuzzy data based on B-spline basis functions
In this paper fuzzy piecewise cubic interpolation is constructed for fuzzy data based on B-spline basis functions. We add two new additional conditions which guarantee uniqueness of fuzzy B-spline interpolation.Other conditions are imposed on the interpolation data to guarantee that the interpolation function to be a well-defined fuzzy function. Finally some examples are given to illustrate the...
[ 8 ] - FUZZY INTEGRO-DIFFERENTIAL EQUATIONS: DISCRETE SOLUTION AND ERROR ESTIMATION
This paper investigates existence and uniqueness results for the first order fuzzy integro-differential equations. Then numerical results and error bound based on the left rectangular quadrature rule, trapezoidal rule and a hybrid of them are obtained. Finally an example is given to illustrate the performance of the methods.
[ 9 ] - SOLVING FUZZY LINEAR SYSTEMS BY USING THE SCHUR COMPLEMENT WHEN COEFFICIENT MATRIX IS AN M-MATRIX
This paper analyzes a linear system of equations when the righthandside is a fuzzy vector and the coefficient matrix is a crisp M-matrix. Thefuzzy linear system (FLS) is converted to the equivalent crisp system withcoefficient matrix of dimension 2n × 2n. However, solving this crisp system isdifficult for large n because of dimensionality problems . It is shown that thisdifficulty may be avoide...
[ 10 ] - توسعه مدل موجک متقاطع - فیلتر کالمن خطوط ایزوکرون برای تحلیل وقایع مرکب بارش- رواناب
مدل‌سازی هیدرولوژیکی نقشی ارزشمند در مدیریت حوضه آبخیز ایفا می‌کند. در این مطالعه از تلفیق روش‌های برنامه‌ریزی-خطی، تبدیل موجک متقاطع و فیلترکالمن LP- CW- KF)) به عنوان یک مدل کنترل کننده خطا، جهت تجزیه و تحلیل نه رخداد مرکب (چند قله‌ای) و منفرد بارش و رواناب حوضه آبخیز صوفی چای استفاده شد و نتایج با روش های هیدروگراف واحد زمان– مساحت اصلاح شده و هیدروگراف واحد ژئومورفولوژی مقایسه گردید. عملکر...
[ 11 ] - بررسی تاثیر زکات برتوزیع ثروت جامعه با استفاده از رویکرد مدل‌سازی عامل- بنیان
برقراری عدالت اجتماعی، تعادل و توازن در جامعه یکی از مهم‌ترین پیش شرط‌های توسعه است. از این‌رو کاهش روند افزایش نابرابری برای سیاست‌گذاران در بسیاری از کشورها به‌عنوان یک اولویت مطرح است. زکات یک قاعده حیاتی در سیستم کلان جامعه اسلامی است که نقش مهمی در تخصیص عادلانه درآمد ایفا می‌کند. هدف از این مقاله توصیف تئوری نقش زکات به‌عنوان یک ابزار مهم در رسیدن به کارایی و بهبود شاخص‌های توسعه انسانی ا...
[ 12 ] - Simulation of Rainfall - Runoff Events by Applying Phase Differences Diagrams and Correcting Effective Rainfall Components
The conversion of rainfall to runoff in basins includes nonlinear relations between the complex interactions of various hydrological processes. In this study, without considering of predetermined structure, relationship between input and output system was derived individually from the nature of the data recorded. Also, the phase difference occurred between rainfall and runoff signals using c...