Department of Mathematics, Shahed University, Tehran, Iran
Abstract
In this paper, we develop multi-step methods to solve a class of two-dimensional nonlinear Volterra integral equations (2D-NVIEs) of the first kind. Here, we convert a 2D-NVIE of the first kind to a one-dimensional linear VIE of the first kind and then we solve the resulted equation numerically by multi-step methods. We also verify convergence and error analysis of the method. At the end, we give some illustrative examples to show the efficiency and accuracy of the presented method.
Torabi, S. M., & Tari Marzabad, A. (2016). Numerical solution of two-dimensional integral equations of the first kind by multi-step methods. Computational Methods for Differential Equations, 4(2), 128-138.
MLA
Seyed Musa Torabi; Abolfazl Tari Marzabad. "Numerical solution of two-dimensional integral equations of the first kind by multi-step methods". Computational Methods for Differential Equations, 4, 2, 2016, 128-138.
HARVARD
Torabi, S. M., Tari Marzabad, A. (2016). 'Numerical solution of two-dimensional integral equations of the first kind by multi-step methods', Computational Methods for Differential Equations, 4(2), pp. 128-138.
VANCOUVER
Torabi, S. M., Tari Marzabad, A. Numerical solution of two-dimensional integral equations of the first kind by multi-step methods. Computational Methods for Differential Equations, 2016; 4(2): 128-138.
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