Results 31 to 40 of about 1,312 (118)
A Unified Block‐Modal Framework for Inverse Source Problems in Heat and Mass Transfer
International Journal for Numerical Methods in Engineering, Volume 127, Issue 19, 15 October 2026.ABSTRACT This work presents a unified block–modal framework for inverse source identification in linear diffusive problems arising in heat and mass transfer. Starting from a general parabolic model with mixed boundary operators, the Classical Integral Transform Technique is employed to project the dynamics onto an orthonormal eigenbasis, yielding a ...
André J. P. de Oliveira +5 more
wiley +1 more source
On the Numerical Solution of the Poisson Equation in the Smoothed Particle Hydrodynamics
Studies in Applied Mathematics, Volume 157, Issue 4, October 2026.ABSTRACT In the present work, we address some aspects related to the numerical solution of the Poisson equation within the framework of the Smoothed Particle Hydrodynamics (SPH). In this case, the Poisson equation is solved using nonlocal, kernel‐based discretizations of the differential operators (i.e., gradient, divergence, and Laplacian operators ...
Matteo Antuono +2 more
wiley +1 more source
Ain Shams Engineering Journal, 2016 In this paper, the meshless local radial point interpolation (MLRPI) method is applied to one-dimensional inverse heat conduction problems. The meshless LRPIM is one of the truly meshless methods since it does not require any background integration cells.
Elyas Shivanian +1 more
doaj +1 more source
Maximum‐Entropy‐Based Meshless Modeling of Surface‐Tension‐Driven Large Deformation
International Journal for Numerical Methods in Engineering, Volume 127, Issue 17, 15 September 2026.ABSTRACT Soft material modeling is challenging due, among others, to the substantial structural changes these materials undergo. In this context, meshless methods offer a promising alternative to overcome the limitations of established mesh‐based approximations such as finite elements. However, they introduce new challenges.
Rodrigo Castillo‐Acuna +2 more
wiley +1 more source
Open Physics, 2020 Multi-term time-fractional partial differential equations (PDEs) have become a hot topic in the field of mathematical physics and are used to improve the modeling accuracy in the description of anomalous diffusion processes compared to the single-term ...
Li Jun-Feng +6 more
doaj +1 more source
A review of numerical methods for flow and transport modeling in the vadose zone
Vadose Zone Journal, Volume 25, Issue 5, September/October 2026.Abstract Accurate modeling of subsurface flow and transport processes in the vadose zone, governed by the Richards equation and advection‐dispersion equation, respectively, poses major numerical challenges due to the strong nonlinearity of the governing partial differential equations, spatial heterogeneity and anisotropy of the media parameters, and ...
Shruti Jain, Saumava Dey, B. R. Chahar
wiley +1 more source
MOVING LEAST-SQUARES APPROXIMATION TO BE USED WITH MESHLESS NUMERICAL ANALYSIS METHODS
Civil Engineering Dimension, 2002 in Bahasa Indonesia : Meshless Numerical Analysis Method adalah suatu metode analisa numerik yang berkembang dengan pesat sebagai alternatif metode elemen hingga (Finite Element Method) yang sudah cukup terkenal.
Pamuda Pudjisuryadi
doaj
Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 13148-13175, August 2026.ABSTRACT The numerical approximation of nonlinear chaotic differential systems, such as the modified stretch‐twist‐fold (STF) flow and multi‐bond chaotic attractors, presents a significant challenge due to their sensitive dependence on initial conditions and complex dynamics where analytical solutions are unattainable.
Shina Daniel Oloniiju, Anastacia Dlamini
wiley +1 more source
A graphics processing unit-accelerated meshless method for two-dimensional compressible flows
Engineering Applications of Computational Fluid Mechanics, 2017 A graphics processing unit (GPU) -accelerated meshless method is presented for solving two-dimensional compressible flows over aerodynamic bodies. The Compute Unified Device Architecture (CUDA) Fortran programming model is employed to port the meshless ...
Jiale Zhang, Hongquan Chen, Cheng Cao
doaj +1 more source
International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.ABSTRACTLattice systems are indispensable for modeling and analyzing physical phenomena in materials with discrete or heterogeneous micro‐ or meso‐structures. However, the computational requirements for practical engineering applications of lattice systems remain high.
Benjamin Werner +2 more
wiley +1 more source