[HTML][HTML] Review of wavelet methods for the solution of reaction–diffusion problems in science and engineering

G Hariharan, K Kannan - Applied Mathematical Modelling, 2014 - Elsevier
Wavelet method is a recently developed tool in applied mathematics. Investigation of various
wavelet methods, for its capability of analyzing various dynamic phenomena through waves …

Collocation methods based on Gegenbauer and Bernoulli wavelets for solving neutral delay differential equations

M Faheem, A Raza, A Khan - Mathematics and Computers in Simulation, 2021 - Elsevier
In this paper, we introduce two different methods based on Gegenbauer wavelet and
Bernoulli wavelet for the solution of neutral delay differential equations. These methods …

Solving nonlinear PDEs using the higher order Haar wavelet method on nonuniform and adaptive grids

M Ratas, A Salupere, J Majak - Mathematical Modelling and Analysis, 2021 - aviation.vgtu.lt
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 …

[HTML][HTML] Entropy generation on an MHD Casson fluid flow in an inclined channel with a permeable walls through Hermite wavelet method

S Kumbinarasaiah - Results in Control and Optimization, 2023 - Elsevier
The current work provides a theoretical investigation of permeability effects on channel
walls. The entropy generation in an incompressible Casson fluid flowing through an inclined …

An MHD boundary layer flow of Casson fluid due to a moving wedge analyzed by the Bernoulli wavelet method

V Ramareddy, PM Basawaraj… - ZAMM‐Journal of …, 2024 - Wiley Online Library
The current study adopts a Bernoulli wavelet technique to explore the
magnetohydrodynamic (MHD) boundary layer flow of a Casson fluid through a wedge. A …

Fibonacci wavelet collocation method for the numerical approximation of fractional order Brusselator chemical model

G Manohara, S Kumbinarasaiah - Journal of Mathematical Chemistry, 2024 - Springer
This research study's primary goal is to create an efficient wavelet collocation technique to
resolve a kind of nonlinear fractional order systems of ordinary differential equations that …

[HTML][HTML] Spectral methods using Legendre wavelets for nonlinear Klein∖ Sine-Gordon equations

F Yin, T Tian, J Song, M Zhu - Journal of computational and applied …, 2015 - Elsevier
Abstract Klein/Sine-Gordon equations are very important in that they can accurately model
many essential physical phenomena. In this paper, we propose a new spectral method …

Time-varying stretching velocity analysis for an unsteady flow of Williamson fluid by Hermite wavelet

R Vidya Shree, B Patil Mallikarjun… - Journal of Umm Al-Qura …, 2024 - Springer
This study investigates unsteady velocity U w= ξ x/t for a Williamson nanofluid film flowing
over a moving surface. This work can be used to outline the effects of an applied angled …

Numerical simulation of second-order hyperbolic telegraph type equations with variable coefficients

S Pandit, M Kumar, S Tiwari - Computer Physics Communications, 2015 - Elsevier
In this article, the authors proposed a numerical scheme based on Crank–Nicolson finite
difference scheme and Haar wavelets to find numerical solutions of different types of second …

[HTML][HTML] Haar wavelet series solution for solving neutral delay differential equations

A Raza, A Khan - Journal of King Saud University-Science, 2019 - Elsevier
We solved linear and nonlinear neutral delay differential equations using Haar wavelet
series. We apply Haar wavelet and obtain its integration for neutral delay differential …