Results 21 to 30 of about 52,764 (220)
Single Step Galerkin Approximations for Parabolic Problems [PDF]
Mathematics of Computation, 1977 In this paper we construct and analyze classes of single step methods of arbitrary order for homogeneous linear initial boundary value problems for parabolic equations with time-independent coefficients. The spatial discretization is done by means of general Galerkin-type methods.
Baker, Garth A. +2 more
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Mathematics, 2023 In order to obtain the numerical results of 3D convection-diffusion-reaction problems with variable coefficients efficiently, we select the improved element-free Galerkin (IEFG) method instead of the traditional element-free Galerkin (EFG) method by ...
Heng Cheng, Zebin Xing, Yan Liu
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Global well-posedness of solutions to a class of heat equation under dynamical type boundary conditions [PDF]
Arab Journal of Mathematical SciencesPurposeBy employing the Galerkin approximation and a family of potential wells, we establish the existence of a global solution and finite-time blow-up under certain suitable conditions. Additionally, we provide results concerning the asymptotic behavior
Mahmoud El Ahmadi +2 more
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Exact controllability of Galerkin’s approximations of micropolar fluids [PDF]
Proceedings of the American Mathematical Society, 2009 We consider the nonlinear model describing micropolar fluid in a bounded smooth region of R N ( N = 2 , 3 ) \mathbb {R}^{N} (N=2,3) with distributed controls supported in small subset of this domain.
Araruna, F. D. +2 more
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Abstract and Applied Analysis, 2013 We extend the application of the Galerkin method for treating the multiterm fractional differential equations (FDEs) subject to initial conditions. A new shifted Legendre-Galerkin basis is constructed which satisfies exactly the homogeneous initial ...
A. H. Bhrawy, M. A. Alghamdi
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Galerkin approximations for the optimal control of nonlinear delay differential equations [PDF]
, 2017 Optimal control problems of nonlinear delay differential equations (DDEs) are considered for which we propose a general Galerkin approximation scheme built from Koornwinder polynomials.
Chekroun, Mickaël D. +2 more
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Numerical Solution of the Convective and Diffusive Transport Problems in a Heterogeneous Porous Medium Using Finite Element Method [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2016 The finite element approximation of the convective and diffusive transport equation has been considered. Different methods for stabilization of the finite element approximation have been discussed: upwind approximation of the convective term using ...
M.V. Vasilyeva +2 more
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A New Wavelet Method for Solving a Class of Nonlinear Volterra-Fredholm Integral Equations
Abstract and Applied Analysis, 2014 A new approach, Coiflet-type wavelet Galerkin method, is proposed for numerically solving the Volterra-Fredholm integral equations. Based on the Coiflet-type wavelet approximation scheme, arbitrary nonlinear term of the unknown function in an equation ...
Xiaomin Wang
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 The discontinuous Galerkin method with discontinuous basic functions which is characterized by a high order of accuracy of the obtained solution is now widely used.
Ruslan V Zhalnin +3 more
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The Improved Element-Free Galerkin Method for 3D Helmholtz Equations
Mathematics, 2021 The improved element-free Galerkin (IEFG) method is proposed in this paper for solving 3D Helmholtz equations. The improved moving least-squares (IMLS) approximation is used to establish the trial function, and the penalty technique is used to enforce ...
Heng Cheng, Miaojuan Peng
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