Volume 12 (2020)
Volume 11 (2019)
Volume 10 (2018)
Volume 9 (2017)
Volume 8 (2016)
Volume 7 (2015)
Volume 6 (2014)
Volume 5 (2013)
Volume 4 (2012)
Volume 3 (2011)
Volume 2 (2010)
Volume 1 (2009)
1. Numerical solution of Fredholm and Volterra integral equations using the normalized Müntz−Legendre polynomials

Fereshteh Saemi; Hamideh Ebrahimi; Mahmoud Shafiee

Articles in Press, Accepted Manuscript, Available Online from 27 December 2020

Abstract
  The current research approximates the unknown function based on the normalized Müntz−Legendre polynomials (NMLPs) in conjunction with a spectral method for the solution of nonlinear Fredholm and Volterra integral equations. In this method, by using operational matrices, a system of algebraic ...  Read More

2. Legendre Wavelet Method for a Class of Fourth-Order Boundary Value Problems

Sarkout Abdi; Aram Azizi; Mahmoud Shafiee; Jamshid Saeidian

Articles in Press, Accepted Manuscript, Available Online from 29 May 2021

Abstract
  In this paper we apply an approximate method based on Galerkin approach with Legendre wavelets basis, on a class of fourth order boundary value problems. The approach reduces the main equation to a system of linear algebraic equations that could be solved numerically. The operational matrix of the method ...  Read More

3. An efficient technique for solving systems of integral equations

Hamideh Ebrahimi

Volume 11, Issue 1 , Spring 2019, , Pages 23-32

Abstract
  In this paper, the wavelet method based on the Chebyshev polynomials of the second kind is introduced and used to solve systems of integral equations. Operational matrices of integration, product, and derivative are obtained for the second kind Chebyshev wavelets which will be used to convert the system ...  Read More