Results 41 to 50 of about 1,021 (186)

Automatic Adaptive and Targeted Localized Refinement in Transient Structural Dynamic Simulations Using the Multiresolution Finite Wavelet Domain Method

International Journal for Numerical Methods in Engineering, Volume 127, Issue 1, 15 January 2026.
ABSTRACT The multiresolution finite wavelet domain method has been meticulously studied in numerous wave propagation simulations, showing excellent convergence properties and very fast computing times. The multiresolution procedure always starts with the coarse solution, and then finer solutions can be superimposed on the coarse solution until ...
Dimitris Dimitriou, Katerina Samara, Dimitris Saravanos   +2 more
wiley   +1 more source

Two highly accurate and efficient numerical methods for solving the fractional Liénard’s equation arising in oscillating circuits

Partial Differential Equations in Applied Mathematics
In this paper, we investigate the fractional model of the Liénard and Duffing equations with the Liouville-Caputo fractional derivative. These equations grow with the evolution of radio and vacuum tube technology, which describe oscillating circuits and ...
Mohamed El-Gamel, Yasser Kashwaa, Mahmoud Abd El-Hady   +2 more
doaj   +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, Magluta, C, Mansur, WJ, Wrobel, LC   +3 more
core   +1 more source

Wavelet Quadtree Contrast Limited Adaptive Histogram Equalisation Tablet Enhancement Method for Defect Detection in Low‐Contrast Tablets

IET Image Processing, Volume 20, Issue 1, January/December 2026.
This paper proposes a novel image enhancement method, WCTE, which integrates Haar wavelet transform and adaptive CLAHE to improve the visibility of low‐contrast tablet images. Combined with the YOLOv11 model, this approach significantly boosts defect detection accuracy, especially for half‐grain and paste tabtal.
Zimei Tu, Qinna Wang, Zhicheng Jiang, Jinhua Jiang   +3 more
wiley   +1 more source

A Haar wavelet-based scheme for finding the control parameter in nonlinear inverse heat conduction equation

Open Physics, 2021
In this article, a hybrid Haar wavelet collocation method (HWCM) is proposed for the ill-posed inverse problem with unknown source control parameters. Applying numerical techniques to such problems is a challenging task due to the presence of nonlinear ...
Ahsan Muhammad, Lin Shanwei, Ahmad Masood, Nisar Muhammad, Ahmad Imtiaz, Ahmed Hijaz, Liu Xuan   +6 more
doaj   +1 more source

Uncertainty Quantification of geochemical and mechanical compaction in layered sedimentary basins [PDF]

, 2017
In this work we propose an Uncertainty Quantification methodology for sedimentary basins evolution under mechanical and geochemical compaction processes, which we model as a coupled, time-dependent, non-linear, monodimensional (depth-only) system of PDEs
Colombo, Ivo, Nobile, Fabio, Porta, Giovanni, Scotti, Anna, Tamellini, Lorenzo   +4 more
core   +2 more sources

Phase‐Lag Integro‐Partial Differential Equation: Local and Nonlocal Solutions

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
Nonlocal information, such as material deformation, genetic genes, or the history of the disease, are essential as they provide us with additional details that increase the numerical solution’s accuracy. With the help of the phase delay, we may also predict the future of the phenomena we are researching.
Sameeha Ali Raad, Ivan Giorgio
wiley   +1 more source

Existence and Uniqueness of Nonlinear Volterra Integral Equations With Variable Fractional Order in Fréchet Spaces via a Frigon−Granas Fixed Point Approach

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This paper investigates the existence and uniqueness of solutions to nonlinear Volterra integral equations of variable fractional order in Fréchet spaces. The variable‐order fractional derivative is considered in the Riemann–Liouville sense, which extends classical approaches and is central to the paper’s novelty.
Mohamed Telli, Benoumran Telli, Mohammed Said Souid, K. Sudarmozhi, Joshua Kiddy K. Asamoah, Khalil Ezzinbi   +5 more
wiley   +1 more source

An Efficient Approach for Mixed Neutral Delay Differential Equations

Computation
In this paper, neutral delay differential equations, which contain constant and proportional terms, termed mixed neutral delay differential equations, are solved numerically.
Rupal Aggarwal, Giriraj Methi, Ravi P. Agarwal, Basharat Hussain   +3 more
doaj   +1 more source

Solution of Time‐Fractional Coupled Burgers Equations by the Yang Transform Adomian Decomposition Method

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, the Yang transform Adomian decomposition method (YTADM) is employed in the solution of nonlinear time‐fractional coupled Burgers equations. The technique solves the fractional and nonlinear terms successfully via the Adomian decomposition of the Yang transform.
Mustafa Ahmed Ali, Mehmet Merdan, Yeou Jiann Lim   +2 more
wiley   +1 more source