The Scientific World Journal, 2014 We aim to study the convergence of the homotopy analysis method (HAM in short) for solving special nonlinear Volterra-Fredholm integrodifferential equations. The sufficient condition for the convergence of the method is briefly addressed.
Behzad Ghanbari
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Analysis of Hugging Flow Through the Powerful Technique of Homotopy Asymptotic Method (HAM)
AbstractA hugging flow occurs when a fluid is hugged between two undistinguishable plates fronting one another. To this end, the hugging flow between two disks in drive of unstable nature is of immense importance for its technical and scientific uses such as, molding of fluids, the study of fluid machinery such as pumps, fans, blowers, windmills, air ...
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International Journal of Differential Equations, 2018 The approximate analytical solution of the fractional Cahn-Hilliard and Gardner equations has been acquired successfully via residual power series method (RPSM).
Anas Arafa, Ghada Elmahdy
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Enhanced Multistage Homotopy Perturbation Method: Approximate Solutions of Nonlinear Dynamic Systems
Abstract and Applied Analysis, 2014 We introduce a new approach called the enhanced multistage homotopy perturbation method (EMHPM) that is based on the homotopy perturbation method (HPM) and the usage of time subintervals to find the approximate solution of differential equations with ...
Daniel Olvera, Alex Elías-Zúñiga
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Series Solution of the System of Fuzzy Differential Equations
Advances in Fuzzy Systems, 2012 The homotopy analysis method (HAM) is proposed to obtain a semianalytical solution of the system of fuzzy differential equations (SFDE). The HAM contains the auxiliary parameter ħ, which provides us with a simple way to adjust and control the convergence
M. S. Hashemi +2 more
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Tobacco smoking model containing snuffing class. [PDF]
Heliyon, 2023 Padmavathi V +5 more
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Spherical Hybrid Nanoparticles for Homann Stagnation-Point Flow in Porous Media via Homotopy Analysis Method. [PDF]
Nanomaterials (Basel), 2023 You X, Cui J.
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Analytical study on couple stress flow of GO-EG and GO-W nanofluid over an extending cylinder along with variable viscosity. [PDF]
Heliyon, 2023 Rehman A +6 more
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Entropy generation in magneto couple stress bionanofluid flow containing gyrotactic microorganisms towards a stagnation point on a stretching/shrinking sheet. [PDF]
Sci Rep, 2023 Khan MS +5 more
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Analysis of Von Kármán Swirling Flows Due to a Porous Rotating Disk Electrode. [PDF]
Micromachines (Basel), 2023 Visuvasam J, Alotaibi H.
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