Results 1 to 10 of about 2,730,397 (252)
Fourier Spectral Methods for Some Linear Stochastic Space-Fractional Partial Differential Equations
Mathematics, 2016 Fourier spectral methods for solving some linear stochastic space-fractional partial differential equations perturbed by space-time white noises in the one-dimensional case are introduced and analysed.
Yanmei Liu, Monzorul Khan, Yubin Yan
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Regularization and error estimates for nonhomogeneous backward heat problems
Electronic Journal of Differential Equations, 2006 In this article, we study the inverse time problem for the non-homogeneous heat equation which is a severely ill-posed problem. We regularize this problem using the quasi-reversibility method and then obtain error estimates on the approximate ...
Duc Trong Dang, Huy Tuan Nguyen
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MathematicsIn this paper, we present a compact finite difference method for solving the cubic–quintic Schrödinger equation with an additional anti-cubic nonlinearity.
He Yang
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A nonhomogeneous backward heat problem: Regularization and error estimates
Electronic Journal of Differential Equations, 2008 We consider the problem of finding the initial temperature, from the final temperature, in the nonhomogeneous heat equation $$displaylines{ u_t-u_{xx}= f(x,t),quad (x,t)in (0,pi)imes (0,T),\ u(0,t)= u(pi,t)= 0, quad (x,t) in (0,pi)imes(0,T ...
Trong Dang Duc, Huy Tuan Nguyen
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Novel Numerical Investigation of Reaction Diffusion Equation Arising in Oil Price Modeling
MathematicsConsideration is given to a reaction–diffusion free boundary value problem with one or two turning points arising in oil price modeling. First, an exact (analytical) solution to the reduced problem (i.e., no diffusion term) was obtained for some given ...
Fehaid Salem Alshammari
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Mathematical and Computer Modelling of Dynamical SystemsThis paper presents an energy stable scheme for the numerical solution of the Allen–Cahn equation. The scheme combines the Crank–Nicolson/Adams–Bashforth technique with the Galerkin method, complementing a thoughtfully designed stabilization term.
Panason Manorot +2 more
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Anisotropic interpolation error estimates via orthogonal expansions
Open Mathematics, 2013 Li Mingxia, Mao Shipeng
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Electronic Journal of Differential EquationsThis work investigates rigorously the convergence properties of a spectral semi-Galerkin approximation for three-dimensional inhomogeneous nematic liquid crystal flows.
Lucas Mascarenhas-Silva +1 more
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Approximation of eigenvalues for unbounded Jacobi matrices using finite submatrices
Open Mathematics, 2014 Monvel Anne, Zielinski Lech
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