Results 91 to 100 of about 13,810,534 (190)

Solving Obstacle Problems using Optimal Homotopy Asymptotic Method

Global Journal of Sciences
Differential 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, Haider Ali, Muntazim Abbas Hashmi, Umber Rana   +3 more
openaire   +2 more sources

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, Faheem Zaidi, Mariam Sultana, M. Khalid   +3 more
openaire   +1 more source

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
doaj   +1 more source

A Note on Improved Homotopy Analysis Method for Solving the Jeffery-Hamel Flow [PDF]

, 2010
This paper presents the solution of the nonlinear equation that governs the flow of a viscous, incompressible fluid between two converging-diverging rigid walls using an improved homotopy analysis method.
Sandile Sydney Motsa, Stanford Shateyi, Precious Sibanda, Gerald T. Marewo   +3 more
core   +1 more source

Comparative analysis of the withdrawal of thin-film flow of a third-grade fluid under the influence of MHD using two homotopy based techniques

Kuwait Journal of Science
The purpose of this work is to examine the thin film flow of a third grade fluid having appropriate boundary conditions using two homotopy based techniques, that is, the optimal homotopy asymptotic method with DJ polynomial (OHAM-DJ) and the asymptotic ...
Azzh Saad Alshehry, Musaad S. Aldhabani, Alamgeer Khan, Ahmed Shafee   +3 more
doaj   +1 more source

Modified Optimal Homotopy Perturbation Method to Investigate Jeffery-Hamel Flow

, 2020
A simple analytical approach is used to solve nonlinear problemforming in the phenomenon of Jeffery-Hamel Flow. The suggested tech-nique consists of a homotopy with an embedding parameter, Daftardar-Gejji and Jafari polynomials (DJPs) and auxiliary ...
Saeed Islam; Department of Mathematics, Abdul Wali Khan University Mardan, KPK, Pakistan., Liaqat Ali; Department of Basic Sciences and Humanities,CECOS University Peshawer, Khyber Pakhtun khwa,Pakistan, Taza Gul; Department of Mathematics, City University of Science and Information Technology,Peshawar 25000,Khyber Pakhtun khwa, Pakistan   +2 more
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An efficient technique to study of time fractional Whitham–Broer–Kaup equations

International Journal of Mathematics for Industry
In 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, Kanak Modi, Lokesh Kumar Yadav, Ravi Shanker Dubey   +3 more
doaj   +1 more source

Enhanced Optimal Homotopy Asymptotic Multiple Parameters Method For Solving Fuzzy Fractional Differential Equations [PDF]

This thesis addresses these challenges by applying and extending the Optimal Homotopy Asymptotic Method (OHAM) to solve both linear and nonlinear FFDEs.
Alshbeel, Abdallah Eshbeel Abdallah
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Solution of Boundary Layer Problems with Heat Transfer by Optimal Homotopy Asymptotic Method

, 2020
Application of Optimal Homotopy Asymptotic Method (OHAM), a new analytic approximate technique for treatment of FalknerSkan equations with heat transfer, has been applied in this work.
M Idrees, M Arif, H Ullah, S Islam
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Solution of the Differential-Difference Equations by Optimal Homotopy Asymptotic Method

, 2020
We applied a new analytic approximate technique, optimal homotopy asymptotic method (OHAM), for treatment of differentialdifference equations (DDEs). To see the efficiency and reliability of the method, we consider Volterra equation in different form. It
M Fiza, M Idrees, H Ullah, S Islam
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