AN APPROXIMATE ALGORITHM FOR A KIRCHHOFF WAVE EQUATION.

Authors :: Peradze, Jemal
Source :: SIAM Journal on Numerical Analysis; 2009, Vol. 47 Issue 4, p2243-2268, 26p
Publication Year :: 2009
Abstract: The initial boundary value problem for a hyperbolic-type quasilinear equation w<subscript>tt</subscript> = φ(∫<subscript>0</subscript><superscript>π</superscript> w<subscript>x</subscript><superscript>2</superscript>dx)w<subscript>xx</subscript> is considered. Its solution is derived by means of a numerical algorithm consisting of the projection method and the difference method for approximation with respect to spatial and time variables, while the resulting discrete system is solved by an iteration process. The accuracy of the proposed algorithm is estimated. [ABSTRACT FROM AUTHOR]