An efficient numerical approximation for the linear class of Fredholm integro-differential equations based on Cattani's method

作者：Maleknejad K^*; Attary M

来源：Communications in Nonlinear Science & Numerical Simulation, 2011, 16(7): 2672-2679.

DOI：10.1016/j.cnsns.2010.09.037

• Fredholm integro-differential equations
• Shannon wavelets approximation
• Cattani's connection coefficients
• Numerical treatments

This paper provides with a generalization of the work by Cattani (Math. Probl. Eng. (2008) 1-24), who has introduced the connection coefficients of the Shannon wavelets. We apply the Shannon wavelets approximation based on Cattani's connection coefficients together the collocation points for solving the linear Fredholm integro-differential equations. Finally, numerical results are included to demonstrate the validity and applicability of the method and some comparisons are made with existing results.

• 出版日期2011-7