Numerical treatment of boundary value problems by solving a system of second kind Fredholm integral equations

作者：Frammartino Carmelina^*

来源：Calcolo, 2013, 50(2): 123-140.

DOI：10.1007/s10092-012-0061-5

• 2sth order Boundary value problem
• Nystrom method
• Lagrange interpolation
• Condition number
• Numerical method for Fredholm integral equations
• Numerical method for second kind Fredholm integral equation systems
• GMRes method

A Nystrom method is proposed for solving systems of Fredholm integral equations equivalent to special boundary value problems of order . The stability and the convergence of the proposed procedure is proved. The GMRes method is applied to solve the involved systems of linear equations. Some numerical examples are provided in order to illustrate the accuracy of the method.

• 出版日期2013-6