@Article{IJNAM-5-2,
author = {Vivek, Kumar},
title = {Solving Singularly Perturbed Reaction Diffusion Problems Using Wavelet Optimized Finite Difference and Cubic Spline Adaptive Wavelet Scheme},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2008},
volume = {5},
number = {2},
pages = {270--285},
abstract = {<p style="text-align: justify;">In this paper singularly perturbed reaction diffusion
equations of elliptic and parabolic types have been discussed using
wavelet optimized finite difference (WOFD) method based on an
interpolating wavelet transform using cubic spline on dyadic points as
discussed in [1]. Adaptive feature is performed automatically by
thresholding the wavelet coefficients. WOFD [2] works by using adaptive
wavelet to generate an irregular grid which is then exploited for the
finite difference method. Numerical examples are presented for elliptic
and parabolic problems and comparisons have been made using cubic spline
and WOFD. The proposed adaptive method is very effective for studying
singular perturbation problems in term of adaptive grid generation and
CPU time.</p>},
issn = {2617-8710},
doi = {https://doi.org/2008-IJNAM-811},
url = {https://global-sci.com/article/83706/solving-singularly-perturbed-reaction-diffusion-problems-using-wavelet-optimized-finite-difference-and-cubic-spline-adaptive-wavelet-scheme}
}