Results 71 to 80 of about 11,164,966 (156)

Solving Systems of Fractional‐Order Differential Equations Using a Reproducing Kernel‐Based Approach

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper introduces a new technique utilizing the reproducing kernel method (RKM) to solve both linear and nonlinear systems of fractional‐order differential equations (SFDEs). The technique carefully integrates essential elements, including the solution space, basis functions, strategic point selection, and a suitable inner product.
Taher Amoozad, Saeid Abbasbandy, Hussein Sahihi, Tofigh Allahviranloo, Jun Fan   +4 more
wiley   +1 more source

A 3-scale haar wavelet collocation method for numerical solution of the nonlinear gardner equation

In this paper, a 3-scale Haar wavelet collocation method was applied to the nonlinear Gardner equation which can be used to describe the large-amplitude inner waves in the ocean.
Esen, Alaattin, Oruç, Ömer, Bulut, Fatih   +2 more
core   +1 more source

Numerical solution of elliptic partial differential equations by Haar wavelet operational matrix method / Nor Artisham Che Ghani

, 2012
The purpose of this study is to establish a simple numerical method based on the Haar wavelet operational matrix of integration for solving two dimensional elliptic partial differential equations of the form, Ñ2u(x, y) + ku(x, y) = f (x, y) with the ...
Nor Artisham, Che Ghani
core  

Non-parametric linear time-invariant system identification by discrete wavelet transforms

, 2006
We describe the use of the discrete wavelet transform (DWT) for non-parametric linear time-invariant system identification. Identification is achieved by using a test excitation to the system under test (SUT) that also acts as the analyzing function for ...
Luk, RWP, Luk, R. W.-P., Damper, R. I., Damper, RI   +3 more
core   +1 more source

On the block wavelet transform applied to the boundary element method [PDF]

, 2004
This paper follows an earlier work by Bucher et al. [1] on the application of wavelet transforms to the boundary element method, which shows how to reuse models stored in compressed form to solve new models with the same geometry but arbitrary load cases
Bucher, HF, Wrobel, LC, Magluta, C, Mansur, WJ   +3 more
core   +1 more source

Wavelets collocation method for singularly perturbed differential–difference equations arising in control system

Results in Applied Mathematics
In this paper, we present a wavelet collocation method for efficiently solving singularly perturbed differential–difference equations (SPDDEs) and one-parameter singularly perturbed differential equations (SPDEs) taking into account the singular ...
Shahid Ahmed, Shah Jahan, Khursheed J. Ansari, Kamal Shah, Thabet Abdeljawad   +4 more
doaj   +1 more source

Numerical solution based on the Haar wavelet collocation method for partial integro-differential equations of Volterra type

Arab Journal of Basic and Applied Sciences
In this paper, a numerical investigation of a class of parabolic Volterra integro-differential equations has been carried out. Basically, the finite difference method associated with the Haar wavelet collocation technique is pursued. The main idea relies
Najem A. Mohammad, Younis A. Sabawi, Mohammad Sh. Hasso   +2 more
doaj   +1 more source

Haar wavelets method for solving class of coupled systems of linear fractional Fredholm integro-differential equations. [PDF]

Heliyon, 2023
Darweesh A, Al-Khaled K, Al-Yaqeen OA.
europepmc   +1 more source

Utilization of Haar wavelet collocation technique for fractal-fractional order problem. [PDF]

Heliyon, 2023
Shah K, Amin R, Abdeljawad T.
europepmc   +1 more source

A fast Fibonacci wavelet-based numerical algorithm for the solution of HIV-infected CD4+T cells model. [PDF]

Eur Phys J Plus, 2023
Vivek, Kumar M, Mishra SN.
europepmc   +1 more source