Some Numerical Methods for Solving Linear Two-Dimensional Volterra Integral Equation

Abeer AL-Bugami, M. M. Al-Wagdani

Abstract


In this paper, the existence and uniqueness of solution of the linear twodimensional
Volterra integral equation of the second kind(LT-DVIE) with Continuous
Kernel are discussed and proved. Trapezoidal rule and Simpson's rule are used to
solve this type of two dimensional Volterra integral equation of the second kind.
Numerical examples are considered to illustrate the effectiveness of the proposed
methods and the error is estimated.


Keywords


Two-Dimensional Volterra Integral Equation; trapezoidal rule; Simpson's rule.

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