%0 Journal Article
%T A Finite Difference Method for Numerical Solution of Goursat Problem of Partial Differential Equation
%A Pramod Kumar Pandey
%J Open Access Library Journal
%V 1
%N 6
%P 1-6
%@ 2333-9721
%D 2014
%I Open Access Library
%R 10.4236/oalib.1100537
%X <p class="MsoNormal">
	<span lang="EN-US">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 examplesvalidate the eciency, expected order and accuracy
of the method.<o:p></o:p></span> 
</p>
%K Numerical Method
%K Finite Difference Method
%K Goursat Problem
%K Maximum Absolute Error
%K Relative Error
%K Root Mean Square Error
%K Nonlinear Problem
%U http://www.oalib.com/paper/3064400