NUMERICAL SOLUTION OF NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS VIA SPECTRAL VARIATIONAL ITERATION METHOD
Publish Year: 1397
Type: Conference paper
Language: English
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ICBVPA01_004
Index date: 26 November 2018
NUMERICAL SOLUTION OF NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS VIA SPECTRAL VARIATIONAL ITERATION METHOD abstract
The basic aim of this paper is to provide a new numericalapproach for solving nonlinear Volterra-Fredholm integral equations.Theintroduced method is a combination of the variational iteration methodand the spectral collocation method. This method is easy to implementand requires no tedious computational work. In addition, it does not re-quire calculating Adomian s polynomials and Lagrange s multiplier values.The performance and accuracy of our method are examined with some il-lustrative examples and compared favorably with the exact solutions.
NUMERICAL SOLUTION OF NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS VIA SPECTRAL VARIATIONAL ITERATION METHOD Keywords:
NUMERICAL SOLUTION OF NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS VIA SPECTRAL VARIATIONAL ITERATION METHOD authors