The spectral transform method is a widely-used numerical technique for solving partial diierential equations on the sphere in global climate modeling. This paper describes the parallelization and performance of the spectral method for solving the nonlinear shallow water equations on the surface of a sphere using a 128-node Intel iPSC/860 hypercube. Solving the shallow water equations represents...

This article proposes non-linearities distribution Laplace transform-homotopy perturbation method (NDLT-HPM) to find approximate solutions for linear and nonlinear differential equations with finite boundary conditions. We will see that the method is particularly relevant in case of equations with nonhomogeneous non-polynomial terms. Comparing figures between approximate and exact solutions we ...

Four-dimensional differential transform method has been introduced and fundamental theorems have been defined for the first time. Moreover, as an application of four-dimensional differential transform, exact solutions of nonlinear system of partial differential equations have been investigated. The results of the present method are compared very well with analytical solution of the system. Diff...

The differential transform method and Herrera’s complex integral method are shown to be related through the Taylor-Cauchy transform, which appears as a genuine fore-runner of both methods. A short discussion of this result is provided. Mathematics Subject Classification: 34A05, 34A25, 34A30, 34A34, 35C10

The spectral transform method is a standard numerical technique for solving partial diierential equations on a sphere and is widely used in atmospheric circulation models. Recent research has identiied several promising algorithms for implementing this method on massively parallel computers; however, no detailed comparison of the diierent algorithms has previously been attempted. In this paper,...

We begin with an introduction to a calculus of fractional finite differences. We extend the discrete Laplace transform to develop a discrete transform method. We define a family of finite fractional difference equations and employ the transform method to obtain solutions. AMS subject classification: 39A12, 26A33.

Digital Steganography explains the art and science of writing hidden messages in such a way that, apart from the sender and intended recipient, no one suspects the existence of the message, a form of security through the state of being unknown. The main two famous schemes used for image steganography are spatial domain embedding and transform domain embedding. The main aim of Wavelet Transform ...

Muhammad Idrees and Fazal Muhammad ABSTRACT In this paper, Differential Transform Method (DTM) is proposed for the closed form solution of linear and non-linear stiff systems. This method gives the series of solutions which can easily be converted into exact solution. The method is described and illustrated with the help of examples. The results show that DTM is very easy, effective and conveni...

in this paper, we apply the local fractional laplace transform method (or yang-laplace transform) on volterra integro-differential equations of the second kind within the local fractional integral operators to obtain the analytical approximate solutions. the iteration procedure is based on local fractional derivative operators. this approach provides us with a convenient way to find a solution ...

The spectral transform method is a widely-used numerical technique for solving partial diierential equations on the sphere in global climate modeling. This paper describes the parallelization and performance of the spectral method for solving the nonlinear shallow water equations on the surface of a sphere using a 128-node Intel iPSC/860 hypercube. Solving the shallow water equations represents...