one dimensional differential transform method
A. One Dimensional Differential Transform Method
... Reduced differential transform method (RDTM), which does not need small parameter in the equation is implemented for solving the sine-Gordon ...
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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 ...
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Numerical Solution of Linear Ordinary Differential Equations of Higher Order by Differential Transformation Method
... The differential transform method is an iterative procedure that is described by the transformed equations of original functions for solution of differential ...this method to solve ...
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Barrier options pricing of fractional version of the Black-Scholes model
... two-dimensional differential transform method and decomposition method that will extend the application of this methods for pricing barrier options of fractional version of the ...
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Application of the Hybrid Differential Transform Method to the Nonlinear Equations
... hybrid method is introduced briefly to predict the behavior of the non-linear partial differential equa- ...The method is hybrid in the sense that different numerical methods, differential ...
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Numerical solutions of two-dimensional linear and nonlinear Volterra integral equations: Homotopy perturbation method and differential transform method
... this method to a wide class of linear and nonlinear equations (see [1], [2], [5]-[11]) and also in [26] this method is used for solving system of linear Fredholm integral and integro-differential ...this ...
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Three-dimensional Magneto-thermo-elastic Analysis of Functionally Graded Truncated Conical Shells
... the differential quadrature method (DQM) is employed to discretize the resulting differential equations and transform them into a system of algebraic ...element method is used to ...
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APPLICATION OF TWO-DIMENSIONAL FRACTIONAL COSINE TRANSFORM TO DIFFERENTIAL EQUATION
... valuable method for solving initial and boundary value problem arising in several areas of physics, Applied Mathematics and ...integral transform such as the Laplace, Fourier, Mellin and Hankel ...is ...
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Variational iteration transform method for solving burger and coupled burgers equations
... iteration transform method is employed to determine the exact solution of the Burger equation which is one-dimensional and coupled Burger ’ s equations nonlinear partial differential ...
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HOMOTOPY PERTURBATION SUMUDU TRANSFORM METHOD FOR ONE AND TWO DIMENSIONAL HOMOGENEOUS HEAT EQUATIONS
... of one-two dimensional homogeneous heat equations were obtained by ...solve one-two dimensional homogeneous heat equation, morever, it can be applied to partial differential equations ...
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Differential transform method for conformable fractional partial differential equations
... Consider a function of two variables u(x, t), and suppose that it can be rep- resented as a product of two single variable functions, that is, u(x, t) = f (x).g(t); see [12]. On the basis of the properties of ...
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Analytical Solution of One-Dimensional Burgers’ Equation with the Help of Mahgoub Transform Method
... partial differential equations; some of which are Backlund transformation procedure in ([RS82]), Hirota's bilinear methodology in ([Hir71]), Variational Iteration Method in ([He00b]), Adomian Decomposition ...
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New Approach for Solving Three Dimensional Space Partial Differential Equation
... This method provides an effective and efficient way of solving a wide range of non-linear ...this method is its capability of combining two powerful methods for obtaining exact solutions for non-linear ...
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The (n+1)-Dimensional Equal Width Wave Equation by Differential Transform Method (DTM)
... Differential transform method is used to obtain the closed form solution of the (n+1) dimensional Equal Width Wave ...this method the solution is calculated in the form of the ...
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AN APPROXIMATE SOLUTION OF TWO DIMENSIONAL NONLINEAR VOLTERRA INTEGRAL EQUATION USING NEWTON-KANTOROVICH METHOD
... two dimensional integral (NLTD) equations of the second kind have been exploited in several areas, including non homogeneous elasticity and electrostatics (Sankar ...of one- dimensional integral ...
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Associated transforms for solution of nonlinear equations
... In systems engineering, nonlinear differential or integrodifferential equations are solved using multiple dimensional Laplace transform.. A commonly used method for obtaining the inverse[r] ...
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Finite Element Method for a Kind of Two Dimensional Space Fractional Diffusion Equation with Its Implementation
... considered one-dimensional symmetric space-fractional partial differential equations with Galerkin finite element method in space and a backward difference technique in time, and the stability ...
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Comparison of Adomian Decomposition and Taylor Expansion Methods for the Solutions of Fractional Integro Differential Equations
... In this paper will be compared between Adomian decomposition method (ADM) and Taylor expansion method (TEM) for solving (approximately) a class of fractional integro-differential equations. Numerical ...
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A Note on Positivity of One-Dimensional Elliptic Differential Operators
... partial differential equations is based on the positivity prop- erty of the differential operator in a Banach space ...of differential operators (see [12] through ...
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Online Full Text
... Adomian Decomposition Methods (ADM) and Differential Transform Methods (DTM) are used to confirm the results of the power series. This is achieved by using the methods to solve equation (12) and compare ...
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