[PDF] Top 20 Application of Adomian’s Decomposition Method for the Analytical Solution of Space Fractional Diffusion Equation
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Application of Adomian’s Decomposition Method for the Analytical Solution of Space Fractional Diffusion Equation
... Fractional diffusion equations are used to model prob- lems in Physics [1-3], Finance [4-7], and Hydrology [8- ...12]. Fractional space derivatives may be used to formu- late anomalous ... See full document
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Application of He’s Variational Iteration Method for the Analytical Solution of Space Fractional Diffusion Equation
... Spatially fractional order diffusion equations are generalizations of classical diffusion equations which are increasingly used in modeling practical super diffusive problems in fluid flow, finance ... See full document
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Approximate Solution For Time-Space Fractional Soil Moisture Diffusion Equation And Its Application
... difference method for time-space fractional soil moisture diffusion equation ...an application of the scheme we solve some test problems and their solutions are represented ... See full document
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SOLUTION OF REACTION–DIFFUSION EQUATION BY ADOMIAN DECOMPOSITION METHOD
... As analytical solutions are only available in few cases, the constructions of efficient numerical methods are ...Adomian’s decomposition method has been successfully applied to linear and nonlinear ... See full document
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DETECTION ENVIRONMENT FORMATION METHOD FOR ANOMALY DETECTION SYSTEMS
... paper, Adomian Conformable Decomposition Method (CADM) has been successfully implemented for the solutions of a time-space fractional intermediate scalar transportation model as posed ... See full document
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Solution of the diffusion equation using Adomain decomposition
... advection diffusion equation was solved in two dimensional space (x,z) using Adomian decomposition method to obtain the normalized crosswind integrated concentration employing ... See full document
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Analysing the fractional heat diffusion equation solution in comparison with the new fractional derivative by decomposition method
... time fractional dif- fusion models in one and two-dimensions would be studied and ...time fractional derivative order would be based on the well-known Caputo’s definition [4] and the re- cently devised ... See full document
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Comparison between the Laplace Decomposition Method and Adomian Decomposition in Time Space Fractional Nonlinear Fractional Differential Equations
... discuss application of Laplace Decomposition Me- thod with Adomian Decomposition in time-space Fractional Nonlinear Frac- tional Differential ...Laplace Decomposition ... See full document
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Mathematical Analysis of Diffusion and Kinetics of Immobilized Enzyme Systems that Follow the Michaelis – Menten Mechanism
... the diffusion equations containing the non- linear term related to Michaelis-Menten ...approximate analytical technique employing the modified Adomian decomposition method is used to ... See full document
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Solution of Fractional Differential Equations By Adomian Decomposition Method With Chebyshev Polynomials
... George Adomian 1, 2, 3, 4 introduced a powerful method named as Adomian decomposition method (ADM) for solving linear and nonlinear functional ...equations. Adomian ... See full document
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Solving fractional diffusion equation using variational iteration method and adomian decomposition method
... in fractional derivative problem is still new in science and engineering ...have fractional order of derivative such as in biopotential recording and functional electrical ... See full document
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Solution of Fractional Differential Equations By Adomian Decomposition Method With Chebyshev Polynomials
... George Adomian 1, 2, 3, 4 introduced a powerful method named as Adomian decomposition method (ADM) for solving linear and nonlinear functional ...equations. Adomian ... See full document
9
Pseudo Spectral Method for Space Fractional Diffusion Equation
... for space fractional diffusion equations (SFDEs) based on pseudo-spectral ...pseudo-spectral method, the SFDE is reduced to a system of ordi- nary differential equations for time variable ... See full document
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Adomian decomposition method for two-dimensional nonlinear fredholm integral equation of the second kind
... this method gives a better result when applied to the Volterra integral equation and it is shown in ...the method to solving two-dimensional Fredholm integral equation (FIE) of the second kind ... See full document
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Convergence of iterative methods applied to Burgers-Huxley equation
... The convex homotopy (2.40) continuously trace an implicity defined curve from a starting point H(u(x, t) − f(u), 0, m) to a solution function H(u(x, t), 1, m). The embed- ding parameter p monotonically increases ... See full document
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Solution of a Nonlinear Delay Differential Equation Using Adomian Decomposition Method with Accelerated Formula of Adomian Polynomial
... [9] Adomian, G. and Rach, R. (1993) Analytic Solution of Nonlinear Boundary-Value Problems in Several Dimensions by Decomposition. Journal of Mathematical Anal- ysis and Applications , 174, 118-137. ... See full document
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Representing of Problem, Solution and Implementation Spaces with Interrelated Attributes for Developing Knowledge Management Base in Computational Chemistry Area
... as fractional derivative of displacement, is the matter of another ...This fractional differentiation is in between velocity and acceleration, perhaps a velocity in some transformed time scale, which is ... See full document
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The use of iterative methods for solving Black-Scholes equation
... Where m is called the accelerating parameters, and for m = 0 we define H(u, p, 0) = H(u, p), which is the standard HPM. The convex homotopy 2.40 continuously trace an implicity defined curve from a starting point H (u(x, ... See full document
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A new numerical scheme for solving systems of integro-differential equations
... Systems of integral equations, linear or nonlinear, appear in scientific appli- cations in engineering, physics, chemistry and populations growth models[4-6, 14, 17]. Studies of systems of integral equations have ... See full document
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Numerical KDV Equation by the Adomian Decomposition Method
... approximate solution diverges in a sustained manner com- pared with the exact solution, which can estimate the rate between the maximum values of the two cases to 400 ...approximate solution u ~ n ( ... See full document
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