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This paper presents a new modification of He’s variational iteration method using Adomian’s polynomials (VIMAP) to solve reaction–diffusion system with fast reversible reaction. An auxiliary parameter is introduced into the VIMAP and optimally identified to adjust the convergence region of the approximate solution. The results reveal that the VIMAP is very accurate comparing with those obtained by...
In this paper, Reduced differential transform method (RDTM) is employed to obtain the solution of the generalized Ito system. The efficiency of the proposed method is illustrated by three test examples. The results obtained by employing RDTM are compared with exact solutions to reveal that the RDTM is very accurate, effective, and convenient to handle a wide range of nonlinear equations. Nonlinear...
In this paper, the stability analysis is performed on two Galerkin finite element schemes for solving reaction-diffusion system with fast reversible reaction. Fourier (Von Neumann) method is implemented to propose time-step criteria for the consistent and the lumped schemes with four popular choices for . We have found that the two schemes are unconditionally stable when 1 2 1, while the consistent...
In this paper, the approximate solution of a reaction-diffusion system with fast reversible reaction is obtained by using Adomian decomposition method (ADM) and variational iteration method (VIM) which are two powerful methods that were recently developed. The VIM requires the evaluation of the Lagrange multiplier, whereas ADM requires the evaluation of the Adomian polynomials. The behavior of the...
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