Results 31 to 40 of about 33,166 (180)
The Homotopy Analysis Method in Turning Point Problems [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2020 In this paper, we used the homotopy analysis method to ordinary differential equations of type boundary value problems with a parameter representing turning points."To show the high accuracy of the solution results, we compare the numerical results ...
Rasha Ahmed, Waleed Al-Hayani
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Homotopy analysis method for fractional IVPs
Communications in Nonlinear Science and Numerical Simulation, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hashim, I., Abdulaziz, O., Momani, S.
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An approximate solution for a generalized Hirota-Satsom coupled (Kdv) equation [PDF]
Computational Ecology and Software, 2017 In this paper the Homotopy Analysis Method (HAM), is applied to find the approximate solution of Hirota-Satsuma coupled (KdV) equations, which don't need a small parameter for solution.
H.A. Wahab +2 more
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Propulsion and Power Research, 2018 Analytical and numerical analyses have performed to study the problem of the flow of incompressible Newtonian fluid between two parallel plates approaching or receding from each other symmetrically.
M.R. Shirkhani +4 more
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Solving Famous Nonlinear Coupled Equations with Parameters Derivative by Homotopy Analysis Method
International Journal of Differential Equations, 2011 The homotopy analysis method (HAM) is employed to obtain symbolic approximate solutions for nonlinear coupled equations with parameters derivative. These nonlinear coupled equations with parameters derivative contain many important mathematical physics ...
Sohrab Effati +2 more
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Homotopy Analysis-Based Hybrid Genetic Algorithm and Secant Method to Solve IVP and Higher-Order BVP
IEEE Access, 2021 The analytical solution of the Initial Value Problem (IVP) and the Boundary Value Problem (BVP) is an essential issue in numerous engineering applications. However, it cannot usually be realized by simple methods.
Hala A. Omar
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An Analytical Study for (2 + 1)-Dimensional Schrödinger Equation
The Scientific World Journal, 2014 In this paper, the homotopy analysis method has been applied to solve (2 + 1)-dimensional Schrödinger equations. The validity of this method has successfully been accomplished by applying it to find the solution of some of its variety forms.
Behzad Ghanbari
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Convergent Homotopy Analysis Method for Solving Linear Systems
Advances in Numerical Analysis, 2013 By using homotopy analysis method (HAM), we introduce an iterative method for solving linear systems. This method (HAM) can be used to accelerate the convergence of the basic iterative methods. We also show that by applying HAM to a divergent iterative scheme, it is possible to construct a convergent homotopy-series solution when the iteration matrix G
H. Nasabzadeh, F. Toutounian
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A Proximal-Gradient Homotopy Method for the Sparse Least-Squares Problem [PDF]
, 2012 We consider solving the $\ell_1$-regularized least-squares ($\ell_1$-LS) problem in the context of sparse recovery, for applications such as compressed sensing. The standard proximal gradient method, also known as iterative soft-thresholding when applied
Xiao, Lin, Zhang, Tong
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Numerical Bifurcation Analysis of Conformal Formulations of the Einstein Constraints
, 2011 The Einstein constraint equations have been the subject of study for more than fifty years. The introduction of the conformal method in the 1970's as a parameterization of initial data for the Einstein equations led to increased interest in the ...
D. Maxwell +8 more
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