Results 41 to 50 of about 1,147 (198)

Semianalytical Approach for the Approximate Solution of Delay Differential Equations

open access: yesComplexity, 2022
In this analysis, we develop a new approach to investigate the semianalytical solution of the delay differential equations. Mohand transform coupled with the homotopy perturbation method is called Mohand homotopy perturbation transform method (MHPTM) and
Xiankang Luo   +3 more
doaj   +1 more source

New approximate series solutions of conformable time–space fractional Fokker–Planck Equation via two efficacious techniques

open access: yesPartial Differential Equations in Applied Mathematics, 2022
This article presents a comparative analysis of the conformable time–space fractional Fokker–Planck equation (TSF-FP equation) by operating two efficacious techniques: Fractional homotopy analysis transform method (FHATM) and conformable homotopy ...
Brajesh Kumar Singh, Anil Kumar
doaj   +1 more source

A new numerical investigation of fractional order susceptible-infected-recovered epidemic model of childhood disease

open access: yesAlexandria Engineering Journal, 2022
The susceptible-infected-recovered (SIR) epidemic model of childhood disease is analyzed in the present framework with the help of q-homotopy analysis transform method (q-HATM).
P. Veeresha   +4 more
doaj   +1 more source

Q-HOMOTOPY SHEHU ANALYSIS TRANSFORM METHOD OF TIME-FRACTIONAL COUPLED BURGERS EQUATIONS

open access: yesEskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering, 2023
In this study, numerical solutions to time-fractional coupled Burgers equations are obtained utilizing the q-homotopy Shehu analysis transform method. The definition of fractional derivatives in the sense of Caputo. q-homotopy Shehu analysis transform method is also used to find the numerical solutions of the time-fractional coupled Burgers equations ...
Umut BEKTAŞ, Halil ANAÇ
openaire   +2 more sources

Application of Aboodh Homotopy Perturbation Transform Method for Fractional-Order Convection–Reaction–Diffusion Equation within Caputo and Atangana–Baleanu Operators

open access: yes, 2023
This article is an analysis of fractional nonlinear convection–reaction–diffusion equations involving the fractional Atangana–Baleanu and Caputo derivatives. An efficient Aboodh homotopy perturbation transform method, which combines the
Humaira Yasmin
core   +1 more source

An analytical algorithm for nonlinear fractional Fornberg–Whitham equation arising in wave breaking based on a new iterative method

open access: yesAlexandria Engineering Journal, 2014
This work suggests a new analytical technique called the fractional homotopy analysis transform method (FHATM) for solving fractional Fornberg–Whitham equation.
Sunil Kumar
doaj   +1 more source

Solution for fractional generalized Zakharov equations with Mittag-Leffler function

open access: yesResults in Engineering, 2020
The pivotal aim of the present work is to find the solution for fractional generalized Zakharov (FGZ) equations using q-homotopy analysis transform method (q-HATM).
P. Veeresha, D.G. Prakasha
doaj   +1 more source

A Novel Optimized Local Linearization Hybrid Block Method for Chaotic Systems: Applications to Stretch‐Twist‐Fold Flow and Bond Orbital Chaotic Attractors

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The numerical approximation of nonlinear chaotic differential systems, such as the modified stretch‐twist‐fold (STF) flow and multi‐bond chaotic attractors, presents a significant challenge due to their sensitive dependence on initial conditions and complex dynamics where analytical solutions are unattainable.
Shina Daniel Oloniiju, Anastacia Dlamini
wiley   +1 more source

Analysis of various semi-numerical schemes for magnetohydrodynamic (MHD) squeezing fluid flow in porous medium

open access: yesPropulsion and Power Research, 2019
In this article comparative analysis of various semi-numerical schemes has been made for the case of squeezing flow of an incompressible viscous fluid between two large parallel plates having no-slip at the boundaries.
Inayat Ullah   +3 more
doaj   +1 more source

Volume Quantization with Flexible Singularities for Hexahedral Meshing

open access: yesComputer Graphics Forum, EarlyView.
Abstract We present a novel algorithm for quantization and subsequent hexahedral mesh generation from seamless volumetric maps. Quantization is the process of choosing integers that represent the numbers of hexahedral elements to be placed in each region of the volume, and transforming the seamless map into an integer‐grid map matching that choice ...
H. Brückler, M. Campen
wiley   +1 more source

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