A numerical method for solving Fredholm-Volterra integral equations in two-dimensional spaces using block pulse functions and an operational matrix

作者：Babolian E^*; Maleknejad K; Mordad M; Rahimi B

来源：Journal of Computational and Applied Mathematics, 2011, 235(14): 3965-3971.

DOI：10.1016/j.cam.2010.10.028

• Two-dimensional Fredholm-Volterra integral equations
• Block pulse functions
• Operational matrix

In this paper, the block pulse functions (BPFs) and their operational matrix are used to solve two-dimensional Fredholm-Volterra integral equations (F-VIE). This method converts F-VIE to systems of linear equations whose solutions are the coefficients of block pulse expansions of the solutions of F-VIE.
Finally some numerical examples are presented to show the efficiency and accuracy of the method.

• 出版日期2011-5-15