In this paper, the quadratic non-polynomial spline’s method is proposed for numerical solution of two-dimensional (2D) Volterra integral equation of the second kind. The tensor product are used for extending one-dimensional quadratic non-polynomial spline ψ1 to a two-dimensional spline ψ1ψ2 to solve 2D Volterra integral equation. Also, we compared the absolute error for proposed method with other numerical approximations methods and the exact solution. On the other hand, a comparative study between the numerical and analytical solution is explained through the three numerical examples presented in this work.

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