Meshless local Petrov–Galerkin (MLPG) approximation to the two dimensional sine-Gordon equation

During the past few years, the idea of using meshless methods for numerical solution of partial differential equations (PDEs) has received much attention throughout the scientific community, and remarkable progress has been achieved on meshless methods. The meshless local Petrov–Galerkin (MLPG) meth...

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Bibliographic Details
Published in:	Journal of computational and applied mathematics Vol. 233; no. 10; pp. 2737 - 2754
Main Authors:	Mirzaei, Davoud, Dehghan, Mehdi
Format:	Journal Article
Language:	English
Published:	Kidlington Elsevier B.V 15.03.2010 Elsevier
Subjects:	Exact sciences and technology Mathematical analysis Mathematics Meshless local Petrov–Galerkin (MLPG) method Moving least-squares (MLS) approximation Numerical analysis Numerical analysis. Scientific computation Numerical methods in probability and statistics Partial differential equations Partial differential equations, boundary value problems Partial differential equations, initial value problems and time-dependant initial-boundary value problems Sciences and techniques of general use Sine-Gordon (SG) equation 65M15 Meshless local Petrov–Galerkin (MLPG) method 65M Except 65M06 Sine-Gordon (SG) equation 65M12 Moving least-squares (MLS) approximation 65M20 Three-dimensional calculations Numerical method Stochastic method Partial differential equation Numerical approximation Sphere Least squares method Numerical solution Meshless local Petrov-Galerkin (MLPG) Numerical integration method Initial value problem Nonlinear problems Algorithm Galerkin-Petrov method Two dimensional equation Numerical analysis Boundary value problem Applied mathematics Two-dimensional calculations
ISSN:	0377-0427, 1879-1778
Online Access:	Get full text
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