A semi-analytical solution of foam drainage equation by Haar wavelets method

In this paper, Haar wavelets method (HWM) is applied to compute the numerical solutions of the foam drainage equation. The mathematical base of the method is presented. First, the time derivative is discretized by a forward difference scheme and then a quasilinearization technique is used to linearize the foam drainage equation. Finally, we solve a system of linear equations which is obtained by applying the Haar wavelet method for discretizing the space derivatives. Obtained results by HWM are very similar to the exact solutions. Further, a comparison between our results and results which are obtained by HPM, HPTM, LDM and ADM is presented. Numerical results show that our method works better than the other methods.