فهرست مقالات Fuzzy Volterra integral equation

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  1 - Spectral Method for Solving Fuzzy Volterra Integral Equations of Second kind
  Laleh Hooshangian
  This paper, about the solution of fuzzy Volterra integral equation of fuzzy Volterra integralequation of second kind (F-VIE2) using spectral method is discussed. The parametric form offuzzy driving term is applied for F-VIE2. Then three cases for (F-VIE2) are searched t چکیده کامل

  This paper, about the solution of fuzzy Volterra integral equation of fuzzy Volterra integralequation of second kind (F-VIE2) using spectral method is discussed. The parametric form offuzzy driving term is applied for F-VIE2. Then three cases for (F-VIE2) are searched to solvethem. These classifications are considered based on the sign of interval. The Gauss-Legendrepoints and Legendre weights for arithmetics in spectral method are used to solve (F-VIE2).Finally, two examples are got to illustrate more. پرونده مقاله
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  2 - Numerical Solution of a New Type Fuzzy Nonlinear Volterra Integral Equations
  Laleh Hooshangian
  Fuzzy integral equations play a fundamental role in the many fields of engineering and applied mathematics.The paper presented, a new type of fuzzy Volterra integral equations of the second kind with nonlinear fuzzykernels. Numerical solutions of a new type of nonlinear چکیده کامل

  Fuzzy integral equations play a fundamental role in the many fields of engineering and applied mathematics.The paper presented, a new type of fuzzy Volterra integral equations of the second kind with nonlinear fuzzykernels. Numerical solutions of a new type of nonlinear fuzzy Volterra integral equations with nonlinear fuzzy kernels through Variational Homotopy perturbation (VHP) method based on the parametric form of a fuzzy number, is investigated. To find the approximate solution and to get an approximation for fuzzy solution of the new type of nonlinear fuzzy Volterra integral equations the VHPM is applied, and it is shown that VHPM is an effective and reliable approach to solve these equations. Finally, a few numerical examples are given and results unfold that VHPM is very close to exact solutions. The obtained approximate solutions are contrasted with the exact solution, and absolute error between obtaining numerical results and an exact solution are found. One of the examples shows a comparison between VHPM and HPM. پرونده مقاله