Numerical solution of the convection diffusion equations by the second kind Chebyshev wavelets

F Zhou, X Xu - Applied Mathematics and Computation, 2014 - Elsevier
In this paper, a numerical method for solving convection diffusion equations is presented.
The method is based upon the second kind Chebyshev wavelets approximation. The …

Theoretical study on continuous polynomial wavelet bases through wavelet series collocation method for nonlinear Lane–Emden type equations

SC Shiralashetti, S Kumbinarasaiah - Applied Mathematics and …, 2017 - Elsevier
In this article, a new method is generated to solve nonlinear Lane–Emden type equations
using Legendre, Hermite and Laguerre wavelets. We are interested to note that these …

Wavelet analysis of stagnation point flow of non-Newtonian nanofluid

M Hamid, M Usman, RU Haq, ZH Khan… - Applied Mathematics and …, 2019 - Springer
The wavelet approach is introduced to study the influence of the natural convection
stagnation point flow of the Williamson fluid in the presence of thermophysical and Brownian …

New Spectral Second Kind Chebyshev Wavelets Algorithm for Solving Linear and Nonlinear Second‐Order Differential Equations Involving Singular and Bratu Type …

WM Abd-Elhameed, EH Doha… - Abstract and Applied …, 2013 - Wiley Online Library
A new spectral algorithm based on shifted second kind Chebyshev wavelets operational
matrices of derivatives is introduced and used for solving linear and nonlinear second‐order …

New ultraspherical wavelets spectral solutions for fractional Riccati differential equations

WM Abd-Elhameed, YH Youssri - Abstract and applied analysis, 2014 - Wiley Online Library
We introduce two new spectral wavelets algorithms for solving linear and nonlinear
fractional‐order Riccati differential equation. The suggested algorithms are basically based …

Comparison on wavelets techniques for solving fractional optimal control problems

PK Sahu, S Saha Ray - Journal of Vibration and Control, 2018 - journals.sagepub.com
This paper presents efficient numerical techniques for solving fractional optimal control
problems (FOCP) based on orthonormal wavelets. These wavelets are like Legendre …

[HTML][HTML] New ultraspherical wavelets collocation method for solving 2nth-order initial and boundary value problems

EH Doha, WM Abd-Elhameed, YH Youssri - Journal of the Egyptian …, 2016 - Elsevier
In this paper, a new spectral algorithm based on employing ultraspherical wavelets along
with the spectral collocation method is developed. The proposed algorithm is utilized to …

Modified model and algorithm of LMS adaptive filter for noise cancellation

AK Maurya, P Agrawal, S Dixit - Circuits, Systems, and Signal Processing, 2019 - Springer
The present research investigates the innovative concept of LMS adaptive noise
cancellation by means of a modified algorithm using an LMS adaptive filter along with their …

Boundary shape function method for nonlinear BVP, automatically satisfying prescribed multipoint boundary conditions

CS Liu, CW Chang - Boundary Value Problems, 2020 - Springer
It is difficult to exactly and automatically satisfy nonseparable multipoint boundary conditions
by numerical methods. With this in mind, we develop a novel algorithm to find solution for a …

An efficient wavelet based spectral method to singular boundary value problems

R Rajaraman, G Hariharan - Journal of Mathematical Chemistry, 2015 - Springer
In this paper, we have established an efficient wavelet based approximation method to
nonlinear singular boundary value problems. To the best of our knowledge, until now there …