A new approach to the numerical solution of Volterra integral equations by using Bernstein's approximation

作者：Maleknejad K^*; Hashemizadeh E; Ezzati R

来源：Communications in Nonlinear Science & Numerical Simulation, 2011, 16(2): 647-655.

DOI：10.1016/j.cnsns.2010.05.006

• Bernstein's approximation
• Volterra integral equation
• Numerical method
• Singular integral equation

In this paper, 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.

• 出版日期2011-2