Optimal order finite element approximation for a hyperbolic integro-differential equation
نویسنده
چکیده مقاله:
Semidiscrete finite element approximation of a hyperbolic type integro-differential equation is studied. The model problem is treated as the wave equation which is perturbed with a memory term. Stability estimates are obtained for a slightly more general problem. These, based on energy method, are used to prove optimal order a priori error estimates.
منابع مشابه
optimal order finite element approximation for a hyperbolic integro-differential equation
semidiscrete finite element approximation of a hyperbolic type integro-differential equation is studied. the model problem is treated as the wave equation which is perturbed with a memory term. stability estimates are obtained for a slightly more general problem. these, based on energy method, are used to prove optimal order a priori error estimates.
متن کاملA Priori Error Estimates for Finite Volume Element Approximations to Second Order Linear Hyperbolic Integro-differential Equations
Abstract. In this paper, both semidiscrete and completely discrete finite volume element methods (FVEMs) are analyzed for approximating solutions of a class of linear hyperbolic integrodifferential equations in a two-dimensional convex polygonal domain. The effect of numerical quadrature is also examined. In the semidiscrete case, optimal error estimates in L(L) and L (H) norms are shown to hol...
متن کاملA nonconforming mixed finite element method for semilinear pseudo-hyperbolic partial integro-differential equations
In this paper, a nonconforming mixed finite element method is studied for semilinear pseudo-hyperbolic partial integrodifferential equations. By use of the interpolation technique instead of the generalized elliptic projection, the optimal error estimates of the corresponding unknown function are given. Keywords—Pseudo-hyperbolic partial integro-differential equations; Nonconforming mixed eleme...
متن کاملNumerical approximation based on the Bernouli polynomials for solving Volterra integro-differential equations of high order
In this article, an applied matrix method, which is based on Bernouli Polynomials, has been presented to find approximate solutions of high order Volterra integro-differential equations. Through utilizing this approach, the proposed equations reduce to a system of algebric equations with unknown Bernouli coefficients. A number of numerical illustrations have been solved to assert...
متن کاملGalerkin finite element method for one nonlinear integro-differential model
Keywords: Nonlinear integro-differential equations Finite elements Galerkin method a b s t r a c t Galerkin finite element method for the approximation of a nonlinear integro-differential equation associated with the penetration of a magnetic field into a substance is studied. First type initial-boundary value problem is investigated. The convergence of the finite element scheme is proved. The ...
متن کاملFinite difference approximation of a nonlinear integro-differential system
Finite difference approximation of the nonlinear integro-differential system associated with the penetration of a magnetic field into a substance is studied. The convergence of the finite difference scheme is proved. The rate of convergence of the discrete scheme is given. The decay of the numerical solution is compared with the analytical results proven earlier. Published by Elsevier Inc.
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ذخیره در منابع من قبلا به منابع من ذحیره شده{@ msg_add @}
عنوان ژورنال
دوره 38 شماره 2
صفحات 447- 459
تاریخ انتشار 2012-07-15
با دنبال کردن یک ژورنال هنگامی که شماره جدید این ژورنال منتشر می شود به شما از طریق ایمیل اطلاع داده می شود.
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023