Abstract
We consider the parabolic equationwith variable coefficients k(x)uxx =ut,0,x ≤ 1, t ≥ 0, where 0 < α ≤ k(x) < +∞, the solution on the boundary x = 0 is a given function g and ux(0, t) = 0. We use wavelet Galerkin method with Meyer multi-resolution analysis to obtain a wavelet approximating solution, and also get an estimate between the exact solution and the wavelet approximating solution of the problem.
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