Results 71 to 80 of about 705 (201)
Analytical investigation of laminar flow through expanding or contracting gaps with porous walls
Propulsion and Power Research, 2014 Laminar, isothermal, incompressible and viscous flow in a rectangular domain bounded by two moving porous walls, which enable the fluid to enter or exit during successive expansions or contractions is investigated analytically using optimal homotopy ...
M. Jafaryar +4 more
doaj +1 more source
Improved Solutions of OHAM Approximate Procedure for Classes of Nonlinear ODEs
Contemporary MathematicsThe primary purpose of this study is to apply the Optimal Homotopy Asymptotic Method (OHAM) to various nonlinear initial value problems of different orders to evaluate its accuracy, convergence, and computational efficiency. OHAM is considered a highly effective technique for solving nonlinear differential equations and is commonly used in scientific ...
Mohammed Jasim +5 more
openaire +1 more source
Results in Physics, 2018 This article focuses on the 2D flow of an incompressible Casson fluid over an unsteady shrinking horizontal sheet under inclined Lorentz force and Joule heating.
Emran Khoshrouye Ghiasi, Reza Saleh
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A New Optimal Homotopy Asymptotic Method for Fractional Optimal Control Problems
International Journal of Differential Equations, 2021 Solving fractional optimal control problems (FOCPs) with an approximate analytical method has been widely studied by many authors, but to guarantee the convergence of the series solution has been a challenge.
Oluwaseun Olumide Okundalaye +1 more
doaj +1 more source
Energy Storage, Volume 6, Issue 4, June 2024.Abstract Enhancing the nanosized‐electrolyte's characteristics in Lithium‐driven micro‐batteries (LIMBs) is indispensable to improve the overall efficiency, security, and lifespan of these energy devices, designing nano‐sized electrolyte with a wide electrochemical stability window while keeping them compatible with electrode materials is one of the ...
Adeel Ashraf +6 more
wiley +1 more source
Advances in Mathematical Physics, 2014 The unsteady viscous flow over a continuously shrinking surface with mass suction is investigated using the optimal homotopy asymptotic method (OHAM). The nonlinear differential equation is obtained by means of the similarity transformation.
Vasile Marinca, Remus-Daniel Ene
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Complexity, Volume 2024, Issue 1, 2024.In this article, we explore the utilization of the Caputo derivative and the Riemann–Liouville (R–L) fractional integral to analyze the optimal auxiliary function method for approximating fractional nonlinear long waves. Approximate long wave equation with a distinct dispersion relation offers the most accurate description of shallow water wave ...
Aaqib Iqbal +5 more
wiley +1 more source
Errors of simulated results for methods HPM [13], TFM [15] and OHAM [17] in Example 4.
, 2014 Errors of simulated results for methods HPM [13], TFM [15] and OHAM [17] in Example 4.
Zhimin Hong (605944) +2 more
core +1 more source
Mathematical and Computational Applications, 2021 In this research, the analytical methods of the differential transform method (DTM), homotopy asymptotic method (HAM), optimal homotopy asymptotic method (OHAM), Adomian decomposition method (ADM), variation iteration method (VIM) and reproducing kernel ...
Mohammad Mehdi Rashidi +8 more
doaj +1 more source
Comparisons of OHAM, Exact and ADM Results of un(t) at different values of n at t = 5.1.
, 2015 E* = |OHAM—Exact|Comparisons of OHAM, Exact and ADM Results of un(t) at different values of n at t = 5.1.
Sharidan Shafie (397535) +4 more
core +1 more source