Results 61 to 70 of about 3,488 (215)

Uncertainty Quantification of Analytical Solutions for the Nonlinear Space and Time Fractional Order ϕ4$$ {\phi}^4 $$ Equation Under Fuzziness

open access: yesEngineering Reports, Volume 8, Issue 7, July 2026.
Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid   +3 more
wiley   +1 more source

The modified homotopy perturbation method with an auxiliary term for the nonlinear oscillator with discontinuity

open access: yesJournal of Low Frequency Noise, Vibration and Active Control, 2019
Recently, a modified homotopy perturbation method with an auxiliary term was proposed for obtaining an analytical approximate solution of a nonlinear equation.
Syed Ahmed Pasha   +2 more
doaj   +1 more source

Homotopy Perturbation Method for Solving Reaction‐Diffusion Equations [PDF]

open access: yesMathematical Problems in Engineering, 2008
The homotopy perturbation method is applied to solve reaction‐diffusion equations. In this method, the trial function (initial solution) is chosen with some unknown parameters, which are identified using the method of weighted residuals. Some examples are given.
Wang, Yu-Xi, Si, Hua-You, Mo, Lu-Feng
openaire   +1 more source

Application of homotopy perturbation method to the Navier-Stokes equations in cylindrical coordinates [PDF]

open access: yes, 2015
This paper deals with the approximate analytical solution of the Navier-Stokes equations in cylindrical coordinates. The homotopy perturbation method is used to get the analytical approximation.
H. A. Wahab   +2 more
core  

Fock space of local fields of the discrete GFF and its scaling limit bosonic CFT

open access: yesProceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.
Abstract To connect conformal field theories (CFTs) to probabilistic lattice models, recent works of Hongler et al. and Adame‐Carrillo have introduced a novel definition of local fields of the lattice models. Local fields in this picture are probabilistically concrete: they are built from random variables in the model.
David Adame‐Carrillo   +2 more
wiley   +1 more source

A New Algorithm Based on the Homotopy Perturbation Method For a Class of Singularly Perturbed Boundary Value Problems [PDF]

open access: yes, 2013
. In this paper, a new algorithm is presented to approximate the solution of a singularly perturbed boundary value problem with leftlayer based on the homotopy perturbation technique and applying the Laplace transformation. The convergence theorem and
S. M. Hossein   +3 more
core  

Homotopy perturbation method for solving hyperbolic partial differential equations [PDF]

open access: yes, 2008
This paper applies the homotopy perturbation method proposed by Ji-Huan He, to obtain approximate analytic solutions of hyperbolic partial differential equations.The procedure of the method is systematically illustrated.
Biazar, J., Ghazvini, H.
core   +1 more source

Computational Rheo‐Hydrodynamic Analysis of Non‐Newtonian Blood Flow Through a Tilted Ellipsoidal Stenosed Vascular Segment

open access: yesEngineering Reports, Volume 8, Issue 6, June 2026.
Non‐Newtonian blood flow through multiple tilted ellipsoidal stenoses is numerically investigated using the DeKee‐Turcotte‐Papanastasiou model. The results reveal asymmetric velocity fields, elevated wall shear stress, significant pressure drops, and shear‐dependent thermal effects, highlighting the critical hemodynamic risks associated with eccentric ...
Azad Hussain, Huma Naz
wiley   +1 more source

Some Applications of Homotopy Perturbation Method [PDF]

open access: yes, 2015
In this thesis paper, I review the basic idea of Homotopy perturbation method (HPM), Modified Homotopy perturbation method (MHPM) and Homotopy perturbation transform method (HPTM).
Sahoo, Malika
core  

Improving homotopy perturbation method with optimal Lagrange interpolation polynomials [PDF]

open access: yes, 2012
In this paper, an efficient modification of the homotopy perturbation method by using optimal Lagrange interpolation polynomials is presented. The proposed method is easy to implement and computationally very attractive.
Babolian, E.   +2 more
core   +1 more source

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