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...

Chemical grafting of Polyaniline (PAni) and chitosan (CS) as has been carried out with formaldehyde as grafting agent and ammonium persulfate as an initiator. For this reason aniline monomers were copolymerized with chitosan and were chemically polymerized. The synthesized copolymer was Characterized using Fourier transform infrared spectroscopy (FTIR), UV-Visible, scanning electron microscopy ...

In this paper, approximate analytical solution of SIRC model associated with the evolution of influenza A disease in human population is acquired by the modified differential transform method (MDTM). The differential transform method (DTM) is mentioned in summary. MDTM can be obtained from DTM applied to Laplace, inverse Laplace transform and padé approximant. The MDTM is used to increase the a...

The purpose of this note is to discuss a generalization of the bubble transform to differential forms. This transform was dicussed for ordinary functions, or zero-forms, in [4]. The present note represents the beginnig of a similar study for differential forms, where we build a transformation which decomposes any function in HΛk(Ω) into a sum of local bubbles supported on appropriate macroeleme...

Dunkl operators associated with finite reflection groups generate a commutative algebra of differential-difference operators. There exists unique linear operator called intertwining which intertwines between this and the standard differential also generalization Fourier transform in context transform. In paper, we determine an integral expression for kernel, is kernel transform, all dihedral gr...

In this paper, we propose a new method for solving fuzzy partial differential equation using fuzzy Sumudu transform. First, we provide fundamental results of fuzzy Sumudu transform for fuzzy partial derivatives and later use them to construct the solution of fuzzy partial differential equations. Finally, we demonstrate an example to show the capability of the proposed method and present the res...

We present a numerical approximate solution to Sobolev-type differential equation subject to nonlocal initial boundary conditions. A Laplace transform method is described for the solution of considered equation. Following Laplace transform of the original problem, an appropriate method of solving differential equations is used to solve the resultant time-independent modified equation and soluti...