Corresponding Author: Mohammed Al-Smadi Department of Applied Science, Ajloun College, AlBalqa Applied University, Ajloun 26816, Jordan Email: [email protected] Abstract: This analysis proposes an analytical-numerical approach for providing solutions of a class of nonlinear fractional Klein-Gordon equation subjected to appropriate initial conditions in Caputo sense by using the Fractional Red...

In this paper an approximate analytical solution of the fractional Zakharov-Kuznetsov equations will be obtained with the help of the reduced differential transform method (RDTM). It is indicated that the solutions obtained by the RDTM are reliable and present an effective method for strongly nonlinear fractional partial differential equations.

Abstract In this paper, a general framework of the reduced differential transform method is presented for solving the regularized long wave (RLW) equation. In this method, the solution is calculated in the form of convergent power series with easily computable components. The efficiency of the considered method is illustrated by some examples. The results show that the proposed iteration techni...

In this paper, the reduced differential transform method is used for solving the initial value problem of the porous medium equation that usually occurs in nonlinear problems of heat and mass transfer and also in biological systems. A complete description of the method is derived. Finally, to show the efficiency of the presented method, four examples are given. MSC: 35G25 • 35A22

We present a certified reduced basis (RB) method for the heat equation and wave equation. The critical ingredients are certified RB approximation of the Laplace transform; the inverse Laplace transform to develop the time-domain RB output approximation and rigorous error bound; a (Butterworth) filter in time to effect the necessary “modal” truncation; RB eigenfunction decomposition and contour ...

Existing algorithms for accurately estimating the f( ) singularity spectrum from the samples of generalized dimensions Dq of a multifractal chaotic time series use either linear interpolation of the known Dq values or nely sample the Dq curve. Also, the derivative in the expression for Legendre transform necessary to go from Dq to f( ) is approximated using rst order centered di erence equation...

The problem of simultaneous reduction of real matrices by either orthogo nal similarity or orthogonal equivalence transformations is considered Based on the Jacobi idea of minimizing the sum of squares of the complementary part of the desired form to which matrices are reduced the projected gradi ent method is used in this paper It is shown that the projected gradient of the objective function ...

this paper presents a new coding method for image compression based on jpeg2000 and contourlet transform. jpeg2000 standard is a common standard that uses discrete wavelet transform (dwt) in the compression process. the main problems of dwt are failure to detect curved edges in image and its shortage representation of the ridge and furrow patterns which cause deficiency and block artifacts rema...