A vector …eld in n-space is reconstructed from a n-dimensional family of ray or line integrals. A similar problem is considered for di¤erential forms of higher order. Key words: Di¤erential form, ray integral, k-plane integral, reconstruction, support condition AMS subject classi…cation (2000): Primary, 53C65; Secondary, 65R32, 76M27 Abbreviated title: Doppler transform 1 Introduction Integrals...

The numerical calculation of the Rayleigh-Sommerfeld diffraction integral is investigated. The implementation of a fast-Fourier-transform (FFT) based direct integration (FFT-DI) method is presented, and Simpson's rule is used to improve the calculation accuracy. The sampling interval, the size of the computation window, and their influence on numerical accuracy and on computational complexity a...

in this paper, a fuzzy hunter-saxton equation is solved by using the adomian'sdecomposition method (adm) and homotopy analysis method (ham). theapproximation solution of this equation is calculated in the form of series whichits components are computed by applying a recursive relation. the existenceand uniqueness of the solution and the convergence of the proposed methodsare proved. a nume...

In this study, novel CuO/g-C3N4 nanocomposite was simply synthesized by impregnation of g-C3N4 with CuO nanoparticles. Then, the heterogeneous catalyst was characterized by various techniques including Fourier transform infrared spectroscopy (FT-IR), X-ray diffraction (XRD), thermogravimetric analysis (TGA) and transmission electron microscopy (...

This paper proposes the Caputo Fractional Reduced Differential Transform Method (CFRDTM) for Susceptible-Exposed-Infected-Recovered (SEIR) epidemic model with fractional order in a host community. CFRDTM is combination of Derivative (CFD) and well-known (RDTM). demonstrates feasible progress efficiency operation. The properties were analyzed investigated. SEIR has been solved via successfully. ...

Several color object recognition methods that are based on image retrieval algorithms attempt to discount changes of illumination in order to increase performance when test image illumination conditions di er from those that obtained when the image database was created. Here we investigate under what general conditions illumination change can be described using a simple linear transform among R...