Approximate Solution of Class of Nonlinear Fractional Integro-Differential Equations Using Bernstein Polynomial and Shifted Legendre Polynomials Methods

Faculty Science Year: 2015
Type of Publication: ZU Hosted Pages:
Authors:
Doaa Shoukry Mohamed Abdulmutallab
Journal: Journal of Computational and Theoretical Nanoscience Copyright © 2015 American Scientific Publishers All rights reserved Printed in the United States of America Volume:
Keywords : Approximate Solution , Class , Nonlinear Fractional Integro-Differential Equations    
Abstract:
In this paper, we compare Bernstein polynomials method (BPM), and Shifted Legendre Polynomials method (SLPM), in order to obtain an approximate solution of nonlinear fractional integro-differential equations of Volterra and Fredholm integ
    
     
 
       

Author Related Publications

  • Doaa Shoukry Mohamed Abdulmutallab , "Fractional Calculus for Solving generalized Abel’s Integral Equations using Chebyshev Polynomials", Foundation of Computer Science, 2014 More
  • Doaa Shoukry Mohamed Abdulmutallab , "Numerical solution of singular and non singular integral equations", Brazil Departamento de Matemática, Universidade Federal de Pernambuco, CEP 50740-540, Recife-PE, 2013 More
  • Doaa Shoukry Mohamed Abdulmutallab , "Numerical Solution of Fractional Integro-Differential Equations by Least Squares Method and Shifted Chebyshev Polynomial", Hindawi Publishing Corporation, 2014 More
  • Doaa Shoukry Mohamed Abdulmutallab , "NUMERICAL SOLUTION OF FRACTIONAL SINGULAR INTEGRO-DIFFERENTIAL EQUATIONS BY USING TAYLOR SERIES EXPANSION AND GALERKIN METHOD", 2014 Scientific Advances Publishers, 2014 More
  • Doaa Shoukry Mohamed Abdulmutallab , "NONLINEAR SINGULAR INTEGRAL EQUATIONS WITH SHIFT IN THE GENERALIZED HÖLDER SPACES", USA.EUDOXUS PRESS,LLC, 2010 More

Department Related Publications

  • Heba Ibrahim Mustafa, "On L- fuzzy generalized topology", Foundation of Computer Science,, 2013 More
  • Alaa Hassan Attia Hassan, "Certain New Classes of Analytic Functions with Varying Arguments", Hindawi Publishing Corporation, USA, 2013 More
  • Huda Ibrahim Sayed Ahmad, "Traveling Wave Solutions of the Nonlinear 3  1-Dimensional Kadomtsev-Petviashvili Equation Using the Two Variables G/G, 1/G-Expansion Method", Hindawi Publishing Corporation Journal of Applied Mathematics, 2012 More
  • Hassan Mostafa Metwally, "Granular Computing Biapproximation Spaces", IEEE, 2005 More
  • Roshdy Mohamed Farouk AbdulHameed, "Analytical analysis of image representation by their discrete wavelet transform", International Journal of Computer Science, 2008 More
Tweet