Numerical method for Cahn-Hilliard equation has been well-studied, but few can be generalized to fractional Cahn-Hilliard equation. In this project to modified the numerical method proposed by Brian Wetton et al in the paper High accuracy solutions to energy gradient flows from material science models[1]. The method they described in the paper is a pseudo-spectral method suitable for considerin...

we introduce a rbfs mesheless method of lines that decomposes the interior and boundary centers to obtain the numerical solution of the time dependent pdes. then, the method is applied with an adaptive algorithm to obtain the numerical solution of one dimensional problem. we show that in the problems in which the solutions contain region with rapid variation, the adaptive rbfs methods are succe...

we compare performance of adaptive schemes which are based on radial-basis functions and kalman filters for fast extraction of auditory evoked potentials. moreover, we propose a new method based on evoked potential modeling in the kalman filter framework, which can improve the accuracy compared to the existing methods. simulation results show that adaptive schemes and the kalman method are not ...

The adaptive modified Fourier decomposition method (A-MFDM), a recently proposed technique to perform the modal analysis of linear and nonlinear two-dimensional dielectric waveguides, is now extended to three-dimensional scalar structures for the first time. The method includes a strategy to automatically find quasioptimum numerical parameters of the technique, which, on the one hand, improves ...

In previous work, a new adaptive meshfree advection scheme for numerically solving linear transport equations has been proposed. The scheme, being a combination of an adaptive semi-Lagrangian method and local radial basis function interpolation, is essentially a method of backward characteristics. The adaptivity of the meshfree advection scheme relies on customized rules for the refinement and ...

An adaptive procedure is described for the line intercept sampling. Modified Hansen-Hurwitz and Horvitz-Thompson estimators are used to find estiamtors for the population mean, population density and coverage. An example is given to justify the method and to compare it with ordinary line intercept sampling.

In this paper, we prove that the standard adaptive finite element method with a (modified) maximum marking strategy is instance optimal for the total error, being the square root of the squared energy error plus the squared oscillation. This result will be derived in the model setting of Poisson’s equation on a polygon, linear finite elements, and conforming triangulations created by newest ver...

This article presents a new modified adaptive function projective synchronization method for the synchronization of time-delayed chaotic systems. The adaptive function projective synchronization controller and identification parameter laws are designed on the basis of Lyapunov-Krasovskii functional approach to stabilize the error system which makes the state vector of two chaotic systems asympt...