Solving the 2-D heat equations using wavelet-Galerkin method with variable time step

摘要

A wavelet-Galerkin method to solve nonhomogenous 2-D heat equations in finite rectangular domains is presented. Integrals involving nonhomogenity terms with scaling function are evaluated based on available connection coefficients. Variable time step technique is used to delay the error blow up hence obtaining better results for solutions that reach steady state.