Results 41 to 50 of about 29,620,228 (168)

The Optimal q-Homotopy Analysis Method (Oq-HAM)

, 2013
In this paper, an optimal q-homotopy analysis method (Oq-HAM) is proposed. We present some examples to show the reliability and efficiency of the method. It is compared with the one-step optimal homotopy analysis method.
Shaheed N Huseen, Magdy A. El-Tawil, Said R.Grace   +2 more
core   +1 more source

Homotopy analysis method for solving fuzzy Nonlinear Volterra integral equation of the second kind

Iraqi Journal for Computer Science and Mathematics
This paper introduces the homotopy analytic HAM, an effective and reliable method for solving computationally challenging fuzzy Volterra nonlinear integral equations of the second type. Numerical examples are provide to demonstrate the accuracy of  HAM.
Rana Hussein, Moez Khenissi
doaj   +1 more source

Control of Dissipative Heat on the MHD Casson Fluid With the Interaction of Velocity Slip and Convective Condition Over a Stagnation Point

Asia-Pacific Journal of Chemical Engineering, Volume 21, Issue 1, January/February 2026.
ABSTRACT The growing need for enhanced thermal regulation is vital in recent advancements such as biomedical engineering, polymer processing, etc. In particular, the non‐Newtonian fluid likely Casson fluid with yield stress is used in these areas because of its ability to prepare biofluids and industrial suspensions effectively.
Bhagyabati Behuria, B. Nayak, S. R. Mishra   +2 more
wiley   +1 more source

Approximate Solutions of Fractional Differential Equations Using Optimal q-Homotopy Analysis Method: A Case Study of Abel Differential Equations

Fractal and Fractional
In this study, the optimal q-Homotopy Analysis Method (optimal q-HAM) has been used to investigate fractional Abel differential equations. This article is designed as a case study, where several forms of Abel equations, containing Bernoulli and Riccati ...
Süleyman Şengül, Zafer Bekiryazici, Mehmet Merdan   +2 more
doaj   +1 more source

Dissipative Heat Impact on the Non‐Newtonian Walter's B Nanoliquid Over an Elongating Surface Through a Permeable Medium

Asia-Pacific Journal of Chemical Engineering, Volume 21, Issue 1, January/February 2026.
ABSTRACT The utilisation of viscoelastic Walter's B nanoliquid in engineering and biomedical applications gained substantial attention because of its ability to provide real‐time fluid behaviour, particularly in the heat flow mechanism. In particular, the flow of viscoelastic fluid over an elongating surface is useful in polymer processing and ...
Laxmipriya Swain, Subhajit Panda, S. R. Mishra, Rupa Baithalu   +3 more
wiley   +1 more source

Numerical Solution of Seventh-Order Boundary Value Problems by a Novel Method

Abstract and Applied Analysis, 2014
We demonstrate the efficiency of reproducing kernel Hilbert space method on the seventh-order boundary value problems satisfying boundary conditions. These results have been compared with the results that are obtained by variational iteration method (VIM)
Mustafa Inc, Ali Akgül
doaj   +1 more source

Comparative Analysis of MHD Boundary-Layer Flow of Viscoelastic Fluid in Permeable Channel with Slip Boundaries by using HAM, VIM, HPM

Walailak Journal of Science and Technology, 2013
In this present study, the problem of two-dimensional magnetohydrodynamic (MHD) boundary layer flow of steady, laminar flow of an incompressible, viscoelastic fluid in a parallel plate channel with slip at the boundaries is presented. The upper convected
Morteza ABBASI, Davood Domiri GANJI, Iman RAHIMIPETROUDI, Mehran KHAKI   +3 more
doaj   +1 more source

Heat Transfer of Viscous MHD Nanofluid Flow in the Presence of Solar Radiation With Entropy

Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.
To satisfy the power needs of human beings without affecting the environment, scientists have been working on the efficient practices of renewable energy sources such as solar, water, and wind. As a source of energy resources, solar radiation is preferred because of its unlimited availability and low ecological impact.
Girma Tafesse Workneh, Aychew Wondyfraw Tesfaye, Abd Allah Hyder   +2 more
wiley   +1 more source

Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems [PDF]

, 2009
In this paper, the homotopy analysis method (HAM) is compared with the homotopy-perturbation method (HPM) and the Adomian decomposition method (ADM) to determine the temperature distribution of a straight rectangular fin with power-law temperature ...
Hashim, Ishak, Chowdhury, Md. Sazzad Hossien, Abdulaziz, O.   +2 more
core   +1 more source

Solving Famous Nonlinear Coupled Equations with Parameters Derivative by Homotopy Analysis Method

International Journal of Differential Equations, 2011
The homotopy analysis method (HAM) is employed to obtain symbolic approximate solutions for nonlinear coupled equations with parameters derivative. These nonlinear coupled equations with parameters derivative contain many important mathematical physics ...
Sohrab Effati, Hassan Saberi Nik, Reza Buzhabadi   +2 more
doaj   +1 more source