the main purpose of this paper is to consider adomian's decomposition method in non-linear volterra integro-differential equations. the advantages of this method, compared with the recent numerical techniques (in particular the implicitly linear collocation methods) , and the convergence of adomian's method applied to such nonlinear integro-differential equations are discussed. finall...

The non-overlapping domain decomposition method is an efficient approach for solving time harmonic scattering wave problems. It is used here to reduce large size systems solution to that of several systems of small size and to construct efficient procedures to couple finite element and boundary element methods. The lack of a satisfactory treatment of the so-called cross-points, nodes being shar...

A discontinuous Galerkin (DG) discretization of Dirichlet problem for second-order elliptic equations with discontinuous coefficients in 2-D is considered. For this discretization, balancing domain decomposition with constraints (BDDC) algorithms are designed and analyzed as an additive Schwarz method (ASM). The coarse and local problems are defined using special partitions of unity and edge co...

to determine the effects of vinasse on physicochemical properties of a calcareous and an acidic soil experiment was factorial and had a complete randomized design and three replications. factorial combinations of five vinasse levels (0, 5, 10, 20 and 40 t/ha) and three exposure times (10, 20 and 30 days) were considered as the treatments of this experiment. the result of experiment showed that ...

A new definition of the homotopy analysis method is given by means of the decomposition method in this paper. The convergence of the homotopy decomposition method is proved under some reasonable hypotheses, which provide the theoretical basis of the homotopy decomposition method for solving nonlinear problems. AMS subject classification: 34A34.

This paper proposes an entropy-based best tree decomposition and reconstruction method for signals on graphs. A recently popular method for graph signal decomposition is to down-sample and filter a graph signal by low-pass and high-pass filters, then iterate decomposition on every low-pass component. This method is not well-suited for graph signals with significant high frequency components. We...

Overlapping balancing domain decomposition methods and their combination with restricted additive Schwarz methods are proposed for the Helmholtz equation. These new methods also extend previous work on non-overlapping balancing domain decomposition methods toward simplifying their coarse problems and local solvers. They also extend restricted Schwarz methods, originally designed to overlapping ...

most geologic changes have a seismic response but sometimes this is expressed only in certain spectral ranges hidden within the broadband data. spectral decomposition is one of the methods which can be utilized to help interpreting such cases. there are several time-frequency methods including: short-time fourier transform (stft), continuous wavelet transform (cwt), wigner-ville distribution (w...

Although autonomous mobile robots have been increasingly popular in a known workspace, but they face the challenging task of operation in an unknown workspace. This paper presents a sensor-based image matching for online cell decomposition to plan coverage path-that provides a mobile robot one of suitable complete coverage of an unknown rectilinear workspace. Authors develop a new method for ce...