Abstract
Collocation method involves numerical operators acting on point values (collocation points) in the physical space. Generally, wavelet collocation methods are created by choosing a wavelet and some kind of grid structure which will be computationally adapted. The few key points about wavelet collocation method (WCM) are as follows: \(\bullet \) The treatment of nonlinearities in wavelet collocation method is a straightforward task due to collocation nature of algorithm as compared to wavelet-Galerkin method discussed in previous Chap. 7. \(\bullet \) Moreover, proofs are easier with Galerkin methods, whereas implementation is more practical with collocation methods. \(\bullet \) The wavelet collocation method is most appropriate for solving nonlinear PDEs with general boundary conditions.
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