Wavelet-Galerkin Finite Difference Solutions of ODEs
Vinod K. Mishra, Sant Longowal · 2011
Obtaining solutions of ordinary differential equations through fictitious boundary or other approach of wavelet-Galerkin requires use of connection coefficients or fast Fourier transform which involves computational complexities and time consumption. In this paper, finite difference based wavelet-Galerkin method has been developed for ordinary differential equations which is rather simple and avoids above complexities. The method is testified using numerical problems. The solutions are comparably good, oftentimes better in comparison to known numerical techniques such as Euler and finite difference at a suitably chosen higher value of the scale.