Results 21 to 30 of about 11,164,966 (156)

A Modified Algorithm Based on Haar Wavelets for the Numerical Simulation of Interface Models

Journal of Function Spaces, 2022
In this paper, a new numerical technique is proposed for the simulations of advection-diffusion-reaction type elliptic and parabolic interface models.
Gule Rana, Muhammad Asif, Nadeem Haider, Rubi Bilal, Muhammad Ahsan, Qasem Al-Mdallal, Fahd Jarad   +6 more
doaj   +1 more source

On a new method for finding numerical solutions to integro-differential equations based on Legendre multi-wavelets collocation

Alexandria Engineering Journal, 2022
In this article, a wavelet collocation method based on linear Legendre multi-wavelets is proposed for the numerical solution of the first as well as higher orders Fredholm, Volterra and Volterra–Fredholm integro-differential equations.
Imran Khan, Muhammad Asif, Rohul Amin, Qasem Al-Mdallal, Fahd Jarad   +4 more
doaj   +1 more source

Numerical solution of second-order nonlinear partial differential equations originating from physical phenomena using Hermite based block methods

Results in Physics, 2023
A Hermite based block method (HBBM) is proposed for the numerical solution of second-order non-linear elliptic partial differential equations (PDEs). The development of the method was accomplished through the methodology of interpolation and collocation ...
Emmanuel Oluseye Adeyefa, Ezekiel Olaoluwa Omole, Ali Shokri   +2 more
doaj   +1 more source

Fibonacci Wavelet Method for the Solution of the Non-Linear Hunter–Saxton Equation

Applied Sciences, 2022
In this article, a novel and efficient collocation method based on Fibonacci wavelets is proposed for the numerical solution of the non-linear Hunter–Saxton equation. Firstly, the operational matrices of integration associated with the Fibonacci wavelets
H. M. Srivastava, Firdous A. Shah, Naied A. Nayied   +2 more
doaj   +1 more source

Efficient Numerical Scheme for the Solution of Tenth Order Boundary Value Problems by the Haar Wavelet Method

Mathematics, 2020
In this paper, an accurate and fast algorithm is developed for the solution of tenth order boundary value problems. The Haar wavelet collocation method is applied to both linear and nonlinear boundary value problems.
Rohul Amin, Kamal Shah, Imran Khan, Muhammad Asif, Mehdi Salimi, Ali Ahmadian   +5 more
doaj   +1 more source

Wavelet-based collocation method for stiff systems in process engineering [PDF]

, 2008
Abrupt phenomena in modelling real-world systems such as chemical processes indicate the importance of investigating stiff systems. However, it is difficult to get the solution of a stiff system analytically or numerically.
Zhang, Tonghua, Tade, Moses, Tade, Moses O., Tian, Yu-Chu, Tian, Yu   +4 more
core   +2 more sources

Application of Novel Schemes Based on Haar Wavelet Collocation Method for Burger and Boussinesq-Burger Equations [PDF]

, 2016
In this paper, efficient numerical schemes based on the Haar wavelet method are applied for finding numerical solutions of nonlinear Burger as well as Boussinesq-Burger equations. The numerical results are then compared with those of the exact solutions.
Saha Ray, S., K. Gupta, A.
core   +1 more source

A numerical Haar wavelet-finite difference hybrid method and its convergence for nonlinear hyperbolic partial differential equation

Demonstratio Mathematica, 2023
In this research work, we proposed a Haar wavelet collocation method (HWCM) for the numerical solution of first- and second-order nonlinear hyperbolic equations. The time derivative in the governing equations is approximated by a finite difference.
Lei Weidong, Ahsan Muhammad, Khan Waqas, Uddin Zaheer, Ahmad Masood   +4 more
doaj   +1 more source

Mixed Problem for Partial Differential Equation of Large Time Variable Order

Journal of Optimization, Differential Equations and Their Applications
An algorithm for solving a class of linear variable order fractional partial differential equations (FPDEs) is presented in this paper. We utilized a combination of Caputo fractional derivatives with the Haar wavelet collocation method (HWCM) and Eiler ...
Yaroslav M. Drin, Iryna I. Drin, Svitlana S. Drin   +2 more
doaj   +1 more source

ON COMPARISON OF SOLUTION OF ORDINARY DIFFERENTIAL EQUATION WITH HAAR WAVELET METHOD AND THE MODIFIED ISHIKAWA ITERATION METHOD [PDF]

, 2022
In this study, we have used a newly modified Ishikawa iteration method and the Haar wavelet method to solve an ordinary linear differential equation with initial conditions.
Orhan, Özlem, Bakır, Yasemin, Mert, Oya   +2 more
core   +2 more sources