A Piecewise Approximation for Linear Two Dimensional Volterra Integral Equation by Chebyshev Polynomials

نویسندگان

  • Somayyeh Fazeli
  • Gholamreza Hojjati
  • Hossein Kheiri
چکیده

Abstract: In this paper, we investigate piecewise approximate solution for linear two dimensional Volterra integral equation, based on the interval approximation of the true solution by truncated Chebyshev series. By discretization respect to spatial and time variables, the solution is approximated by using collocation method. Analysis of discretization error is discussed and efficiency of the method is shown by applying it on some problems.

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تاریخ انتشار 2013