This paper presents a study using novel linearization technique based on the Differential transformation method (DTM) to seek analytical solutions if it exists and approximate where closed form are not available. The effectiveness accuracy of this procedure is verified by solving six problems comprising both initial boundary value combination DTM Laplace transform method. resulting solution the...

In this work, we proposed a hybrid algorithm to approximate the solution of Conformable Fractional Fokker-Planck Equation (CFFPE). This comprises unification two methods named Wave Transformation Method (FWTM) and Differential Transform (DTM). The method is based on steps. first step reduce given CFPDEs corresponding Partial Equations (PDEs). Then, second solve obtained PDEs iteratively by usin...

We show that the differential transform is well known Taylor series (contrary to what authors claim) and method (DTM) Frobenius method, commonly used obtain exact or approximate solutions equations. The generalized (GTM) merely application of Padé approximants produced by method. argue particular differential-difference nonlinear equations are scarce utility because initial conditions not flexi...

Abstract In this paper, we focus on the two-dimensional linear Telegraph equation with some initial and boundary conditions. We transform the model of partial differential equation (PDE) into a system of first order, linear, ordinary differential equations (ODEs). Our method is based on finding a solution in the form of a polynomial in three variables Un(x, y, t) = ∑n i=0 ∑n j=0 ∑n k=0 U(i, j, ...

Abstract: In this paper, differential transform method (DTM) is applied to the sine-Gordon equation which arise in differential geometry, propagation of magnetic flux, stability of fluid motions, nonlinear physics and applied sciences. The method can easily be applied to many linear and non-linear problems and is capable of reducing the size of computational task. Exact solutions can also be ac...

In the last few decades, many numerical methods have been developed and employed to solve for various types of linear nonlinear equations due challenges in aspect implementation governing boundary conditions, computation time, algorithm complexity, accuracy, convergency, stability solution so on. Of open literature, differential quadrature (DQM), transform (DTM), finite difference (FDM) are exp...

Solving a non-linear differential equation most times is difficult and requires some technicalities. Many semi-analytical methods were derived in literature to provide series solution problem, with each method giving level of accuracy when compared their equivalent exact (or numerical case does not exist). Thus, system ordinary equations (ODEs) arising from formulated Susceptible-Infected-Quara...

Dynamic traffic management (DTM) measures are potentially powerful measures to not only improve network efficiency, but also to reduce externalities of traffic (e.g. emissions of substances, noise and safety). In current practice the deployment of DTM measures (or DTM-strategies) focuses on improving efficiency on a local level. Further the assessment of DTM is concerned with a number of predef...

The paper describes a number of methods for fast DTM generation, processing and merging implemented in the new powerful PC-based photogrammetric system Z-Space, which is specially optimized for TK-350 imagery. The particularity of DTM processing for TK-350 imagery consists in large amount of DTM points; it is usually equal to tens millions. The developed DTM generation method uses terrain and i...