A variational method for solving Fredholm integral systems

作者：Kouibia A; Pasadas M; Rodriguez M L^*

来源：Applied Numerical Mathematics, 2012, 62(9): 1041-1049.

DOI：10.1016/j.apnum.2011.11.006

• Integral equations
• Minimization problem
• Splines

In this paper, we propose a new approach for solving second kind Fredholm integral equation system. The method is based on the minimization of a suitable functional in a certain Sobolev space. We study the convergence of the method and we present some numerical examples in order to show the validity of the proposed method.

• 出版日期2012-9