The numerical solution of hyperbolic differential equations using Wavelet lifting scheme.

Recently Wavelet theory is an advanced tool in science and engineering research; mainly wavelets are applicable in fast algorithms for easy implementation. In this paper, we present an innovative wavelet technique that is lifting scheme for the numerical solutions of hyperbolic differential equations come across in mathematical physics. Here we used orthogonal and biorthogonal wavelets to expose the efficiency and effectiveness of the proposed scheme. The proposed scheme speeds up the convergence in less computational time, which is illustrated through the numerical examples. [ABSTRACT FROM AUTHOR]