This paper presents an overview of singular perturbations and time scales (SPaTS) in
control theory and applications during the period 2002-2012. The previous …

A new higher order Haar wavelet method (HOHWM) has been developed for solving
differential and integro-differential equations. Generalized approach has been proposed for …

The higher order Haar wavelet method (HOHWM) is used with a nonuniform grid to solve
nonlinear partial differential equations numerically. The Burgers' equation, the Korteweg–de …

The primary goal of this study is to increase and improve the precision and order of
convergence of the well-known Haar wavelet collocation method (HWCM) that is named as …

In this article, numerical solutions of nonlinear ordinary differential equations of fractional
order by the Haar wavelet and quasilinearization are discussed. Quasilinearization …

The higher order Haar wavelet method (HOHWM) approach is proposed for solving ordinary
differential equations (ODE). Different algorithms for determining complementary integration …

Wavelet transformation is a new development in the area of applied mathematics. Wavelets
are mathematical tools that cut data or functions or operators into different frequency …

In this paper, an efficient wavelet‐based numerical scheme is presented for the solution of
fourth‐order singularly perturbed boundary value problems with discontinuous data. The …

A non-uniform Haar wavelet method is proposed on specially designed non-uniform grid for
the numerical treatment of singularly perturbed differential-difference equations arising in …

In this paper, we introduce a novel approach employing two-dimensional uniform and non-
uniform Haar wavelet collocation methods to effectively solve the generalized Burgers …