Results 51 to 60 of about 16,295,354 (199)
A collocation meshless method based on local optimal point interpolation
International Journal for Numerical Methods in Engineering, 2003 AbstractThis paper deals with the use of the local optimal point interpolating (LOPI) formula in solving partial differential equations (PDEs) with a collocation method. LOPI is an interpolating formula constructed by localization of optimal point interpolation formulas that reproduces polynomials and verifies the delta Kronecker property.
Zuppa, Carlos, Cardona, Alberto
openaire +3 more sources
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
Taylor Meshless Method for bending and buckling of thin plates [PDF]
, 2017 This paper introduces a new meshless method named Taylor Meshless Method (TMM) using Taylor series to deduce the shape functions. Next the problem is discretized by point-collocation only on the boundary and without integration.
POTIER-FERRY, Michel +2 more
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Meshless Local Petrov-Galerkin Method for 3D Steady-State Heat Conduction Problems
Advances in Mechanical Engineering, 2011 The Meshless Local Petrov-Galerkin (MLPG) method is applied for solving the three-dimensional steady state heat conduction problems. This method is a truly meshless approach; also neither the nodal connectivity nor the background mesh is required for ...
M. J. Mahmoodabadi +3 more
doaj +1 more source
Solitary Wave Solutions of the Generalized Rosenau-KdV-RLW Equation
Mathematics, 2020 This paper investigates the solitary wave solutions of the generalized Rosenau–Korteweg-de Vries-regularized-long wave equation. This model is obtained by coupling the Rosenau–Korteweg-de Vries and Rosenau-regularized-long wave equations. The solution of
Zakieh Avazzadeh +2 more
doaj +1 more source
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
An advanced meshless method for time fractional diffusion equation [PDF]
, 2011 Recently, because of the new developments in sustainable engineering and renewable energy, which are usually governed by a series of fractional partial differential equations (FPDEs), the numerical modeling and simulation for fractional calculus are ...
刘青 +9 more
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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
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
Analysis of Two Dimensional Steady-State Heat Conduction Problems by MLPG Method [PDF]
International Journal of Advanced Design and Manufacturing Technology, 2011 Numerical solutions obtained by the Meshless local Petrov–Galerkin (MLPG) method are presented for two-dimensional steady-state heat conduction problems.
GholamHosein Baradaran +1 more
doaj