A computational method for solving two-dimensional linear Volterra integral equations of the first kind

作者：Tari A^*; Shahmorad S

来源：Scientia Iranica, 2012, 19(3): 829-835.

DOI：10.1016/j.scient.2011.02.002

• Two-dimensional linear Volterra integral equations
• Operational Tau method

In this paper, the operational Tau method is employed to approximate the solution of two dimensional linear Volterra integral equations of the first kind (2DLVIEF). To this end, we convert the 2DLVIEF to the equivalent equation of the second kind, and then we use the operational approach of the Tau method, with standard base, to convert it to the system of algebraic equations. Finally, some numerical examples are given to clarify the efficiency and accuracy of the presented method.

• 出版日期2012-6