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Classical wave-equation is solved using Multiresolution Multiwavelet (MW) basis functions in one- and two-dimensional space. The time progression operator is represented using Cayley formalism in order to avoid instability of the solution. Stable solutions are obtained for different initial conditions.
We develop a dynamic equation solver using Caley algorithm with a multi-resolution multi-wavelet (MRMW) basis set. The method is applied for solving advection equation, the simplest yet most difficult equation for numerical solution.
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