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An Optimal Choice Of Initial Solutions In The Homotopy Perturbation Method, Habibolla Latifizadeh
An Optimal Choice Of Initial Solutions In The Homotopy Perturbation Method, Habibolla Latifizadeh
H. L. Zadeh
This paper proposes a reliable modification of the homotopy perturbation method which can serve as a promising tool for solving a large class of differential equations. In this approach only the highest order derivative is considered in the solution procedure, and the initial solution which can be obtained by the standard procedure is decomposed to optimally match the solution procedure. Some examples are given, showing that only one or few iterations lead to exact solutions using the new technology, while the standard HPM algorithm yields infinite series converging to the exact solutions.
Reconstruction Of Variational Iteration Algorithms Using The Laplace Transform, Habibolla Latifizadeh
Reconstruction Of Variational Iteration Algorithms Using The Laplace Transform, Habibolla Latifizadeh
H. L. Zadeh
The variational iteration method is a very efficient tool for solving various kinds of nonlinear equations. The variational iteration algorithms are derived based on general Lagrange multipliers and variational theory, this paper suggests an alternative approach to derivation of the variational iteration formulations using the Laplace transform. Some illustrative examples are given to show the validity of this method.
New Approach To Mixture Of The Adomian Decomposition And Homotopy Perturbation Method For Approximate And Analytical Solution Of Integral Equations And Fractional Differential Equations, Habibolla Latifizadeh
New Approach To Mixture Of The Adomian Decomposition And Homotopy Perturbation Method For Approximate And Analytical Solution Of Integral Equations And Fractional Differential Equations, Habibolla Latifizadeh
H. L. Zadeh
No abstract provided.
Solutions Of The Zakharov-Kuznetsov, Helmholtz And One-Dimensional Nonhomogeneous Parabolic Partial Differential Equations Using Differential Transformation Method (Dtm), Habibolla Latifizadeh
Solutions Of The Zakharov-Kuznetsov, Helmholtz And One-Dimensional Nonhomogeneous Parabolic Partial Differential Equations Using Differential Transformation Method (Dtm), Habibolla Latifizadeh
H. L. Zadeh
No abstract provided.