New optimum solutions of nonlinear fractional acoustic wave equations via optimal homotopy asymptotic method-2 (OHAM-2) [PDF]
Scientific Reports, 2022 AbstractThe 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). Without any transformation, the suggested approach can be used to solve fractional-order nonlinear Zakharov–Kuznetsov equations.
Laiq Zada +6 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]
Scientific Reports, 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.
Muhammad Farooq +5 more
doaj +2 more sources
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
doaj +2 more sources
Formulation and application of optimal homotopty asymptotic method to coupled differential-difference equations. [PDF]
PLoS ONE, 2015 In this paper we applied a new analytic approximate technique Optimal Homotopy Asymptotic Method (OHAM) for treatment of coupled differential-difference equations (DDEs).
Hakeem Ullah +4 more
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Solutions of nonlinear real world problems by a new analytical technique [PDF]
Heliyon, 2018 Here a new analytical scheme is presented to solve nonlinear boundary value problems (BVPs) of higher order occurring in nonlinear phenomena. This method is called second alternative of Optimal Homotopy Asymptotic Method.
Liaqat Ali +4 more
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Optimal homotopy asymptotic method for flow and heat transfer of a viscoelastic fluid in an axisymmetric channel with a porous wall. [PDF]
PLoS ONE, 2013 In this article, an approximate analytical solution of flow and heat transfer for a viscoelastic fluid in an axisymmetric channel with porous wall is presented.
Fazle Mabood +2 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
doaj +3 more sources
Optimal homotopy asymptotic method for solving several models of first order fuzzy fractional IVPs
Alexandria Engineering Journal, 2022 In this work, the Optimal Homotopy Asymptotic Method (OHAM) is prolifically implemented to find the optimal solutions of fractional order of fuzzy differential equations.
Dulfikar Jawad Hashim +4 more
doaj +3 more sources
Analytic Approximate Solution for Falkner-Skan Equation [PDF]
The Scientific World Journal, 2014 This paper deals with the Falkner-Skan nonlinear differential equation. An analytic approximate technique, namely, optimal homotopy asymptotic method (OHAM), is employed to propose a procedure to solve a boundary-layer problem. Our method does not depend
Vasile Marinca +2 more
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Unsteady MHD Thin Film Flow of an Oldroyd-B Fluid over an Oscillating Inclined Belt. [PDF]
PLoS ONE, 2015 This paper studies the unsteady magnetohydrodynamics (MHD) thin film flow of an incompressible Oldroyd-B fluid over an oscillating inclined belt making a certain angle with the horizontal.
Taza Gul +5 more
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