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Nasir, M.A.S. and Ismail, A.I.M. (2005) A New Finite Difference Scheme Based on Heronian Mean Averaging for the Goursat Problem. ISAME Transactions, 2, 98-103.

has been cited by the following article:

• TITLE: A Finite Difference Method for Numerical Solution of Goursat Problem of Partial Differential Equation

  AUTHORS: Pramod Kumar Pandey

  KEYWORDS: Numerical Method, Finite Difference Method, Goursat Problem, Maximum Absolute Error, Relative Error, Root Mean Square Error, Nonlinear Problem

  JOURNAL NAME: Open Access Library Journal, Vol.1 No.6, September 1, 2014

  ABSTRACT: In this article, we report the finite difference method for numerically solving the Goursat Problem, using uniform Cartesian grids on the square region. We have considered both linear and nonlinear Goursat problems of partial differential equations for the numerical solution, to ensure the accuracy of the developed method. The results obtained for these numerical examples validate the efficiency, expected order and accuracy of the method.