Title of article
Discrete Adomian Decomposition solution of Nonlinear Fredholm Integral Equation
Author/Authors
Behiry, S.H. Mansoura University - Faculty of Engineering - Mathematics and Engineering Physics Department, Egypt , Abd-Elmonem, R.A. Mansoura University - Faculty of Engineering - Mathematics and Engineering Physics Department, Egypt , Gomaa, A.M. Mansoura University - Faculty of Engineering - Mathematics and Engineering Physics Department, Egypt
From page
97
To page
101
Abstract
In recent papers the solution of Linear and Nonlinear Fredholm Integral Equations was introduced using the Adomian Decomposition Method (ADM). For cases that evaluation of integrals analytically are impossible the decomposition method can not be applied. In this paper a discretized version of the Adomian Decomposition Method is introduced and this method is called Discrete Adomian Decomposition Method (DADM). DADM arises when the quadrature rules are used to approximate the definite integrals which can not be computed analytically. The DADM gives the numerical solution at nodes used in the quadrature rules.
Keywords
Numerical solution , Adomian Decomposition Method , Discrete Adomian Decomposition Method , Nonlinear Fredholm Integral Equation
Journal title
Ain Shams Engineering Journal
Journal title
Ain Shams Engineering Journal
Record number
2648513
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