Results 91 to 100 of about 4,624 (137)
A Numerical Solution of Troesch’s Problem via Optimal Homotopy Asymptotic Method
International Journal of Computer Applications, 2016 Troesch’s problem arose while the investigation of the confinement of a plasma column by applying radiation pressure was being conducted. It is an unstable problem in itself, with a two-point boundary value. The application of the Optimal Homotopy Asymptotic Method (OHAM) is used to attain an approximate solution for the nonlinear differential equation
Aurangzaib A +3 more
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Abstract and Applied Analysis, 2013 The aim of this study is to present the use of a semi analytical method called the optimal homotopy asymptotic method (OHAM) for solving the linear Fredholm integral equations of the first kind.
Mohammad Almousa, Ahmad Ismail
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Homotopy perturbation method with an auxiliary parameter for nonlinear oscillators
Journal of Low Frequency Noise, Vibration and Active Control, 2019 A brief introduction to the development of the homotopy perturbation method is given, and the main milestones are elucidated with more than 90 references.
Dan-Ni Yu, Ji-Huan He, Andres G Garcıa
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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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Solution of Boundary Layer Problems with Heat Transfer by Optimal Homotopy Asymptotic Method
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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An efficient technique to study of time fractional Whitham–Broer–Kaup equations
International Journal of Mathematics for IndustryIn this study, we derive the approximate analytical solution for the fractional coupled Whitham–Broer–Kaup (WBK) equations, a significant mathematical model for representing wave propagation in shallow water.
Nishant Bhatnagar +3 more
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Advances in Mathematical Physics, 2017 The objective of this paper is to investigate the effectiveness and performance of optimal homotopy asymptotic method in solving a system of nonlinear partial differential equations.
Salem Alkhalaf
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Fuzzy Volterra Integral Equation Approximate Solution Via Optimal Homotopy Asymptotic Methods
Statistics, Optimization & Information ComputingThe field of fuzzy integral equations (FIEs) is significant for modeling complex, time-delayed, and uncertain physical phenomena. Nevertheless, the majority of current solutions for FIEs encounter considerable challenges, such as the inability to manage intricate fuzzy functions, stringent assumptions regarding the forms of fuzzy operations utilized ...
Alzubi Muath Talal Mahmoud +3 more
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ComplexityIn 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.
Aaqib Iqbal +4 more
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Optimal homotopy asymptotic method for solving Gardner equation
Applied Mathematical Sciences, 2015 openaire +1 more source