Comparison of the Numerical Solutions Obtained by Adomian Decomposition Method and Collocation Method of a Class of Weakly Singular Volterra Integral Equation

نویسنده

  • M. M. Hosseini
چکیده

In this paper, an Adomian decomposition method using Chebyshev orthogonal polynomials is proposed to solve a well-known class of weakly singular Volterra integral equations. Comparison with the collocation method using polynomial spline approximation with Legendre Radau points reveals that the Adomian decomposition method using Chebyshev orthogonal polynomials is of high accuracy and reduces the size of computational work. AMS classification: 65R20 • 65P99 • 65T99

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تاریخ انتشار 2013