In this paper, an effective modification of variationaliterationalgorithm-ii is presented for the numerical solution of the Korteweg-de Vries-Burgers equation, Burgers equation and Kortewege-de Vries equation. In th...
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In this paper, an effective modification of variationaliterationalgorithm-ii is presented for the numerical solution of the Korteweg-de Vries-Burgers equation, Burgers equation and Kortewege-de Vries equation. In this modification, an auxiliary parameter is introduced which make sure the convergence of the standard algorithm-ii. In order to assess the precision of the solutions, numerical computations obtained from the time evaluation of the solutions of the Kortewege-de Vries-Burgers equation with different values for dispersion and diffusion coefficients, show that the proposed algorithm converges rapidly, yields accurate results and offers better accuracy and robustness in comparison with other previous numerical methods. Furthermore, the method can be readily implemented for illuminating viably an enormous number of nonlinear differential equations with better accuracy. Furthermore, any transformation, weak nonlinearity assumption to find an explicit solution or any discretization to find the numerical solution is not necessary for this proposed algorithm.
In this article,modified versions of variationaliterationalgorithms are presented for the numerical simulation of the diffusion of oil *** numerical examples are given to demonstrate the applicability and validity o...
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In this article,modified versions of variationaliterationalgorithms are presented for the numerical simulation of the diffusion of oil *** numerical examples are given to demonstrate the applicability and validity of the proposed *** obtained results are compared with the existing solutions,which reveal that the proposed methods are very effective and can be used for other nonlinear initial value problems arising in science and engineering.
In this paper, modified variational iteration algorithm-ii is investigated for finding approximate solutions of nonlinear Parabolic equations. Comparisons of the MVIA-ii with trigonometric B-spline collocation method,...
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In this paper, modified variational iteration algorithm-ii is investigated for finding approximate solutions of nonlinear Parabolic equations. Comparisons of the MVIA-ii with trigonometric B-spline collocation method, variationaliteration method, homotopy perturbation transform method, Adomian decomposition method, and modifiedvariationaliteration method are carried out, which show that the proposed algorithm (MVIA-ii) is robust one. Some nonlinear Parabolic equations are given to demonstrate the implementation and accuracy of the MVIA-ii.
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