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We establish that the Laplas operator with perturbation by symmetrised linear hall of displacement argument operators is the generator of unitary group in the Hilbert space of square integrable functi...
In this paper, some modifications of Adomian decomposition method are presented for solving initial value problems in ordinary differential equations. Also, the restarted and two-step methods are appl...
We carry out spectral analysis of one class of integral op- erators associated with fractional order differential equations that arise in mechanics. We establish a connection between the eigenvalues...
We use collocation methods to solve fractional boundary value problems. Analytically, we study the existence and uniquenes theorem of the collocation solutions, and discuss some error estimates. We ...
We solve four kinds of two-point boundary value problems of fractional differential equations with Caputoderivatives or Riemann-Liouville Derivatives. Analytically, we introduce the fractional Gree...
In this paper, we propose a dynamic B-spline technique using general form fourth order geometric PDEs. Basing on discretizaions of Laplace-Beltrami operator and Gaussian curvature over triangular an...
Variational formulations of three fourth order geometric partial dirential equations are derived, and based on which mixed ite element methods are presented for constructing G1 smooth B-spline sur...
Abstract: In this study, we consider a linear differential equation with fuzzy boundary values. We express the solution of the problem in terms of a fuzzy set of crisp real functions. Each real functi...
In the paper we o er a functional-discrete method for solving the Cauchy problem for the rst order ordinary di erential equations (ODEs). This method (FD-method) is in some sense similar to the Adomi...
In the Stratonovich-Taylor and Stratonovich-Taylor-Hall discretization schemes for stochastic differential equations (SDEs), there appear two types of multiple stochastic integrals respectively. The...
This meeting is concerned with scientific computing involving the numerical solution of differential equations: ordinary differential equations;partial differential equations;dynamical systems;differe...
International Conference On Partial Differential Equations And Their Numerical Analysis,July 27-30, 2007 Beijing, P.R.China.
In this paper, a unified approach for analyzing finite dimensional approximations to a class of partial differential equations boundary value problems (second-kind Fredholm differential equations) is ...

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