OTHERS_CITABLE Solving Fuzzy Partial Differential Equation by Differential Transformation Method  <meta content="text/html charset=utf-8" http-equiv="Content-Type" ><meta content="Word.Document" name="ProgId" ><meta content="Microsoft Word 11" name="Generator" ><meta content="Microsoft Word 11" name="Originator" ><link href="file:///C:DOCUME~1ADMINI~1LOCALS~1Tempmsohtml14clip_filelist.xml" rel="File-List" > Normal 0 false false false MicrosoftInternetExplorer4 /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal" mso-tstyle-rowband-size:0 mso-tstyle-colband-size:0 mso-style-noshow:yes mso-style-parent:"" mso-padding-alt:0cm 5.4pt 0cm 5.4pt mso-para-margin:0cm mso-para-margin-bottom:.0001pt mso-pagination:widow-orphan font-size:10.0pt font-family:"Times New Roman" mso-ansi-language:#0400 mso-fareast-language:#0400 mso-bidi-language:#0400} In this paper, an extension of Differential Transformation Method (DTM) which is an analytical-numerical method for solving the fuzzy partial differential equation (FPDE) by using the strongly generalized differentiability concept is investigated. The proposed algorithm is illustrated by numerical example. http://jamlu.liau.ac.ir/article-1-178-en.pdf 2011-01-15 1 16 Fuzzy-Number Fuzzy-Valued Function Generalized Differentiability Fuzzy Partial Differential Equation Differential Transformation Method N. A. Kiani 1 AUTHOR
OTHERS_CITABLE Numerical Solution of Fuzzy Polynomials by Newton-Raphson Method The main purpose of this paper is to find fuzzy root of fuzzy polynomials (if exists) by using Newton-Raphson method. The proposed numerical method has capability to solve fuzzy polynomials as well as algebric ones. For this purpose, by using parametric form of fuzzy coefficients of fuzzy polynomial and Newton-Rphson method we can find its fuzzy roots. Finally, we illustrate our approach by numerical examples http://jamlu.liau.ac.ir/article-1-179-en.pdf 2011-01-15 17 23 T. Allahviranloo 1 AUTHOR S. Asari 2 AUTHOR
OTHERS_CITABLE Solving Linear Fred Holm Fuzzy Integral Equations of the Second Kind by Modified Trapezoidal Method One of the methods for solving definite integrals is modified trapezoid method, which is obtained by using Hermitian interpolation (see e.g. ). In this article, we have used modified trapezoid quadrature method and Generalized differential to solve the Fredholm fuzzy integral equations of the second kind. This method leads to solve fuzzy linear system. Finally the proposed method is illustrated by solving some numerical examples. http://jamlu.liau.ac.ir/article-1-180-en.pdf 2011-01-15 25 37 Keywords: Modified Trapezoid Method Fuzzy Linear System Generalized Differential. T. Allahviranloo 1 AUTHOR N. Khalilzadeh 2 AUTHOR S. Khezerloo 3 AUTHOR
OTHERS_CITABLE Homotopy Perturbation Method for the Generalized Fisher’s Equation More recently, Wazwaz [An analytic study of Fisher’s equation by using Adomian decomposition method, Appl. Math. Comput. 154 (2004) 609–620] employed the Adomian decomposition method (ADM) to obtain exact solutions to Fisher’s equation and to a nonlinear diffusion equation of the Fisher type. In this paper, He’s homotopy perturbation method is employed for the generalized Fisher’s equation to overcome the difficulty arising in calculating Adomian polynomials. http://jamlu.liau.ac.ir/article-1-181-en.pdf 2011-01-15 39 44 Homotopy Perturbation Method Generalized Fisher’s Equation.
OTHERS_CITABLE Constructing Two-Dimensional Multi-Wavelet for Solving Two-Dimensional Fredholm Integral Equations In this paper, a two-dimensional multi-wavelet is constructed in terms of Chebyshev polynomials. The constructed multi-wavelet is an orthonormal basis for space. By discretizing two-dimensional Fredholm integral equation reduce to a algebraic system. The obtained system is solved by the Galerkin method in the subspace of by using two-dimensional multi-wavelet bases. Because the bases of subspaces are orthonormal, so the above mentioned system has a small dimension and also high accuracy in approximating solution of integral equations. For one-dimensional case, a similar works are done in [4, 5], which they have small dimension and high accuracy. In this article, we extend one-dimensional case to two-dimensional by extending and by choosing good functions on two axes. Numerical results show that the above mentioned method has a good accuracy. http://jamlu.liau.ac.ir/article-1-182-en.pdf 2011-01-15 45 54 Two-Dimensional Multi-Wavelet Integral Equations Galerkin Chebyshev M. Rabbani 1 AUTHOR
OTHERS_CITABLE Estimation of Return to Scale under Weight Restrictions in Data Envelopment Analysis Return-To-Scale (RTS) is a most important topic in DEA. Many methods are not obtained for estimating RTS in DEA, yet. In this paper has developed the Banker-Trall approach to identify situation for RTS for the BCC model "multiplier form" with virtual weight restrictions that are imposed to model by DM judgments. Imposing weight restrictions to DEA models often has created problem of infeasibility the DEA models. Thus, the proposed models via Estellita Lins et al. (2006) are applied for testing feasibility weighted BCC model and to provide minimally acceptable adjustments to original restrictions that render the weighted model feasible. http://jamlu.liau.ac.ir/article-1-183-en.pdf 2011-01-15 55 63 DEA RTS Infeasibility Weight Restrictions F. Rezai Balf 1 AUTHOR R. Shahverdi 2 AUTHOR H. Moienalsadat 3 AUTHOR
OTHERS_CITABLE Legendre Wavelets for Solving Fractional Differential Equations In this paper, we develop a framework to obtain approximate numerical solutions to ordi‌nary differential equations (ODEs) involving fractional order derivatives using Legendre wavelets approximations. The continues Legendre wavelets constructed on [0, 1] are uti‌lized as a basis in collocation method. Illustrative examples are included to demonstrate the validity and applicability of the technique. http://jamlu.liau.ac.ir/article-1-184-en.pdf 2011-01-15 65 70 Legendre Wavelet Fractional Differential Equations Collocation Method M. Soleymanivaraki 1 AUTHOR Hossein Jafari 2 AUTHOR M. Arab.Firoozjaee 3 AUTHOR
OTHERS_CITABLE Application of He’s Variational Iteration Method to Abelian Differential Equation In this paper, He’s variational iteration method (VIM) is used to obtain approximate analytical solutions of the Abelian differential equation. This method is based on Lagrange multipliers for identification of optimal values of parameters in a functional. Using this method creates a sequence which tends to the exact solution of problem. The method is capable of reducing the size of calculation and easily overcomes the difficulty of the perturbation technique or Adomian polynomials. The results reveal that VIM is very effective and simple. http://jamlu.liau.ac.ir/article-1-185-en.pdf 2011-01-15 71 75 Variational Iteration Method Abelian Differential Equation General Lagrange Multiplier Correction Functional. M. Matinfar 1 AUTHOR Jafar-Nodeh 2 AUTHOR