New optimum solutions of nonlinear fractional acoustic wave equations via optimal homotopy asymptotic method-2 (OHAM-2). [PDF]
Sci Rep, 2022 The second iteration of the optimal homotopy asymptotic technique (OHAM-2) has been protracted to fractional order partial differential equations in this work for the first time (FPDEs).
Zada L +6 more
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Modification of optimal homotopy asymptotic method for fractional heat equations
Boletim da Sociedade Paranaense de MatemáticaIn the present paper,Optimal Homotopy Asymptotic Method (OHAM) is used to solve fractional order heat equations.These equation,Which are essential in various scientific and engineering fields,, can present significant challenges due to complexity.
Shakeel Ahmad +5 more
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Open Physics, 2020 In this study, the Daftardar–Jeffery polynomials are incorporated in the homotopy of the optimal homotopy asymptotic method (OHAM) for solving the generalized Hirota–Satsuma coupled system of Korteweg–de Vries equations. The results are displayed through
Hussain Zawar +7 more
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Comparative study of generalized couette flow of couple stress fluid using optimal homotopy asymptotic method and new iterative method. [PDF]
Sci Rep, 2021 In this research work, we have studied the steady generalized Couette flow of couple stress fluid between two parallel plates considering the non-isothermal effects.
Farooq M +5 more
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Optimal homotopy asymptotic method for solving Volterra integral equation of first kind
Alexandria Engineering Journal, 2014 In this paper, authors demonstrate the efficiency of optimal homotopy asymptotic method (OHAM). This is done by solving nonlinear Volterra integral equation of first kind.
N. Khan +3 more
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Mathematical and Computer Modelling, 2013 Abstract In this paper, the optimal homotopy asymptotic method (OHAM) and the traditional homotopy analysis method (HAM) are used to obtain analytical solution for a strongly nonlinear oscillation. Moreover, the homotopy-pade technique is employed to accelerate the convergence of solution series of traditional HAM.
A Golbabai, Mojtaba Fardi, K Sayevand
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Solving Obstacle Problems using Optimal Homotopy Asymptotic Method
Global Journal of SciencesDifferential equations play a vital role in explaining real-world phenomena across science and engineering, from fluid motion and population growth to the mechanics of bridges. In particular, the cantilever bridge problem can be framed as a homogeneous obstacle problem, which illustrates the practical importance of such mathematical models ...
Muhammad Amjad +3 more
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Solution of Boundary Layer Problems with Heat Transfer by Optimal Homotopy Asymptotic Method [PDF]
Abstract and Applied Analysis, 2013 Application of Optimal Homotopy Asymptotic Method (OHAM), a new analytic approximate technique for treatment of Falkner-Skan equations with heat transfer, has been applied in this work.
H. Ullah, S. Islam, M. Idrees, M. Arif
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Comparative Study of Plane Poiseuille Flow of Non-isothermal Couple Stress Fluid of Reynold Viscosity Model using Optimal Homotopy Asymptotic Method and New Iterative Method [PDF]
Journal of Applied and Computational Mechanics, 2021 In this paper, we have explored the steady Poiseuille flow of couple stress fluid between two parallel plates under the influence of non-isothermal effects of Reynold viscosity model, using Optimal Homotopy Asymptotic Method (OHAM) and New Iterative ...
Alamgeer Khan +4 more
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Optimal homotopy asymptotic method to large post-buckling deformation of MEMS
MATEC Web of Conferences, 2018 In the present paper, the post-buckling response of an axially stressed clamped-clamped actuator, modeled as a beam and subjected to a symmetric electrostatic field is analyzed.
Herisanu Nicolae, Marinca Vasile
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