Differential transform
Exact Solution for a Class of Stiff Systems by Differential Transform Method
... In this paper, Differential Transform Method (DTM) is proposed for the closed form solution of linear and non-linear stiff systems. First, we apply DTM to find the series solution which can be easily ...
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A. One Dimensional Differential Transform Method
... reduced differential transform method [18-20] which is presented to overcome the demerit of complex calculation of differential transform method (DTM) ...
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Applications of Fractional Differential Transform Method to Fractional Differential-Algebraic Equations
... where β is the order of fraction and F (k) is the fractional differential transform of f (x ) . In order to avoid fractional initial and boundary conditions, we define the fractional deriva- tive in the ...
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The Adomian Decomposition Method and the Differential Transform Method for Numerical Solution of Multi Pantograph Delay Differential Equations
... In this paper, the Adomian Decomposition Method (ADM) and the Differential Transform Method (DTM) are applied to solve the multi-pantograph delay equations. The sufficient conditions are given to assure the ...
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Differential Transform Technique for Second Order Differential Equations: A Comparative Approach
... H., Differential transform technique for solving higher order initial value ...of differential equations by differential transform ...
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Application of Multi Step Differential Transform Method on Flow of a Second Grade Fluid over a Stretching or Shrinking Sheet
... the differential transform method (DTM) solu- tions are only valid for small values of the independent ...Multi-step Differential Transform Method ...nonlinear differential equa- tions ...
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A. One Dimensional Differential Transform Method
... Abstract— Reduced differential transform method (RDTM) is implemented for solving the linear and nonlinear Klein Gordon equations. The approximate analytical solution of the equation is calculated in the ...
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Computational technique of linear partial differential equations by reduced differential transform method
... This paper presents a class of theoretical and iterative method for linear partial differential equations. An algorithm and analytical solution with a initial condition is obtained using the reduced ...
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Solving linear Volterra–Fredholm integro- differential equations of fractional order by using Generalized Differential Transform Method
... Generalized differential transform method (GDTM) is applied to solve linear integro-differential volterra –fredholm equation of fractional order ...
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ON GENERALIZED q-DIFFERENTIAL TRANSFORM
... The remaining paper is organized as follows. In Section 2, we provide definitions which will be used in subsequent sections. In Section 3, we establish generalized q-Taylor’s formula involving Caputo fractional ...
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Finding Differential Transform Using Difference Equations
... Lagrangian-Differential Transform Method,”in Lecture Notes in Engineering and Computer Science: World Congress on Engineering and Computer Science 2017, ...
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Differential Transform Method for Some Delay Differential Equations
... This paper concentrates on the differential transform method (DTM) to solve some delay differen- tial equations (DDEs). Based on the method of steps for DDEs and using the computer algebra sys- tem ...
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Differential transform method for conformable fractional partial differential equations
... differential transform method called the conformable fractional reduced differential transform method and conformable variational iteration method based on the new defined fractional ...
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A Comparative Study of Variational Iteration Method and He Laplace Method
... the differential transform method and the variational iteration method (VIM) ...nonlinear differential equations ...Laplace transform is to- tally incapable of handling nonlinear equations ...
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Numerical Solution of Linear Ordinary Differential Equations of Higher Order by Differential Transformation Method
... The differential transformation technique is one of the numerical methods for ordinary differential ...of differential equations in the form of a ...The differential transform is an ...
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Finite Difference Method and Laplace Transform for Boundary Value Problems
... of differential equations arise very frequently in fluid mechanics, quantum mechanics, optimal control, chemical-reactor theory, aerodynamics, reaction-diffusion process and ...of differential equations are ...
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Vol 9, No 5 (2018)
... so-called differential transformation method (DTM) for electrical circuit’s problems ...of differential equations in the form of a ...of differential equations. The implementation of the ...
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Some of Semi Analytical Methods for Blasius Problem
... ordinary differential equation on a half-infi- nite interval is solved by using perturbation method [11], transformation of independent variable and finite differ- ence method [12], homotopy analysis method ...
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A Handy Approximation Technique for Closed- form and Approximate Solutions of Time- Fractional Heat and Heat-Like Equations with Variable Coefficients
... In this work, a relatively new version of the modification referred to as modified differential transform method (MDTM) will be applied to heat and heat-like PDEs for exact and numerical solutions. It is ...
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Generalized Differential Transformation Method for Solving Volterra’s population growth model of Fractional order
... The differential transform method is a numerical method based on the Taylor series expansion which constructs an analytical solution in the form of a ...the differential transform method ...
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