HAAR WAVELET METHOD FOR SOLVING STIFF DIFFERENTIAL EQUATIONS
Abstract
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Application of the Haar wavelet approach for solving stiff differential equations is discussed. Solution of singular perturbation problems is also considered. Efficiency of the recommended method is demonstrated by means of four numerical examples, mostly taken from well-known te
Solving Stiff Differential Equations with the Method of Patches David Brydon,∗,† John Pearson,† and Michael Marder∗ ∗Department of Physics, Center for Nonlinear Dynamics, University of Texas at Austin, Austin, Texas 78712; and †Los Alamos National Laboratory, MS B258, Los Alamos,
In this article, the second kind Chebyshev wavelet method is presented for solving a class of multi-order fractional differential equations (FDEs) with variable coefficients. We first construct the second kind Chebyshev wavelet, prove its convergence and then derive the operation
In this paper, we develop a framework to obtain approximate numerical solutions to ordinary differential equations (ODEs) involving fractional order derivatives using Legendre wavelets approximations. The continues Legendre wavelets constructed on [0, 1] are utilized as a basis i
In this paper, we develop a framework to obtain approximate numerical solutions to ordinary differential equations (ODEs) involving fractional order derivatives using Legendre wavelets approximations. The continues Legendre wavelets constructed on [0, 1] are utilized as a basis