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A new approach to the numerical solution of Volterra integral equations by using Bernstein’s approximation. (English) Zbl 1221.65334

Summary: We present a numerical method for solving Volterra integral equations of the second kind (VK2), first kind (VK1) and even singular type of these equations. The proposed method is based on approximating unknown function with Bernstein’s approximation. This method using simple computation with quite acceptable approximate solution. Furthermore we get an estimation of error bound for this method. For showing efficiency of this method we use several examples.

MSC:

65R20 Numerical methods for integral equations
45D05 Volterra integral equations
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