Approximate Analytical Solutions of the Regularized Long Wave Equation Using the Optimal Homotopy Perturbation Method [PDF]
The Scientific World Journal, 2014 The paper presents the optimal homotopy perturbation method, which is a new method to find approximate analytical solutions for nonlinear partial differential equations.
Constantin Bota, Bogdan Căruntu
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Desimal, 2021 The variational homotopy perturbation method is developed by combining variational iteration method and homotopy perturbation method. Variational iteration method has an efficient process in solving a wide variety of equations and systems of equations ...
Atika Faradilla +3 more
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An approximate analytical solution of the Allen-Cahn equation using homotopy perturbation method and homotopy analysis method. [PDF]
Heliyon, 2019 Hussain S, Shah A, Ayub S, Ullah A.
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Epidemic model analyzed via particle swarm optimization based homotopy perturbation method
Informatics in Medicine Unlocked, 2020 In this paper, the problem of the spread of a non-fatal disease in a population known as a nonlinear epidemic model is solved using an Optimized Homotopy Perturbation Method (OHPM).
M.J. Mahmoodabadi
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Partial Differential Equations in Applied Mathematics, 2023 The homotopy perturbation method is extend to derive the approximate solution of the variable order fractional partial differential equations with time delay. The variable order fractional derivative is taken in the Caputo sense. An approximation formula
Adnan K. Farhood, Osama H. Mohammed
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On the coupling of least squares method and homotopy perturbation method for the solution of differential-algebraic equations and its applications in optimal control problems [PDF]
International Journal of Industrial Electronics, Control and Optimization, 2020 In this paper, two semi-analytical techniques are introduced to compute the solutions of differential-algebraic equations (DAEs), called the Least Squares Repetitive Homotopy Perturbation Method (LSRHPM) and the Least Squares Span Repetitive Homotopy ...
Azar Shabani +3 more
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Homotopy perturbation and Elzaki transform for solving Sine-Gorden and Klein-Gorden equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2013 In this paper, the homotopy perturbation method (HPM) and Elzaki transform is employed to obtain the approximate analytical solution of the Sine Gorden and the Klein Gorden equations. The nonlinear terms can be handled by the use of homotopy perturbation
E. Hesameddini, N. Abdollahy
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Nonlinear Engineering, 2019 We apply homotopy perturbation transformation method (combination of homotopy perturbation method and Laplace transformation) and homotopy perturbation Elzaki transformation method on nonlinear fractional partial differential equation (fpde) to obtain a ...
Singh Prince, Sharma Dinkar
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ANALYTICAL APPROXIMATE SOLUTION OF NON-LINEAR PROBLEM BY HOMOTOPY PERTURBATION METHOD (HPM) [PDF]
Matrix Science Mathematic, 2019 In this article, we want to find the analytic approximate solution of nonlinear problems by using Homotopy Perturbation Method. Using the Homotopy Perturbation Method once we express the nonlinear problem into infinite number of sub linear problems and ...
Ihtisham ul Haq
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Rational Homotopy Perturbation Method
Journal of Applied Mathematics, 2012 The solution methods of nonlinear differential equations are very important because most of the physical phenomena are modelled by using such kind of equations.
Héctor Vázquez-Leal
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