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A variational form with Bernoulli series for linear integral equations

Nadir M.

Journal of Theoretical and Applied Computer Science

2014

Vol. 8, nr 3

31--36

In this work, we seek the approximate solution of Fredholm integral equations by truncation Bernoulli series approximation using a variational form for the equation. This one is reduced to a linear system where the solution of this latter gives the Bernoulli coefficients and thereafter the solution of the equation.The convergence and the error analysis of this method are discussed. Finally, we compare our numerical results by others.