Results 91 to 100 of about 4,171 (232)

Homotopy analysis method for stochastic differential equations

, 2014
The homotopy analysis method known from its successful applications to obtain quasi-analytical approximations of solutions of ordinary and partial differential equations is applied to stochastic differential equations with Gaussian stochastic forces and to the Fokker-Planck equations.
Janowicz, Maciej, Krzyżewski, Filip, Kaleta, Joanna, Rusek, Marian, Orłowski, Arkadiusz   +4 more
openaire   +2 more sources

A study of nonlinear fractional-order biochemical reaction model and numerical simulations

Nonlinear Analysis
This article depicts an approximate solution of systems of nonlinear fractional biochemical reactions for the Michaelis–Menten enzyme kinetic model arising from the enzymatic reaction process.
Bheeman Radhakrishnan, Paramasivam Chandru, Juan J. Nieto   +2 more
doaj   +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

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

A new study on the Newell-Whitehead-Segel equation with Caputo-Fabrizio fractional derivative

AIMS Mathematics
In this research, we propose a new numerical method that combines with the Caputo-Fabrizio Elzaki transform and the q-homotopy analysis transform method.
Aslı Alkan, Halil Anaç
doaj   +1 more source

A homotopy analysis method for forced transverse vibrations of simply supported double-beam systems with a nonlinear inner layer [PDF]

, 2023
Kabutakapua Kakanda, Hongbo Zhu, Musumari Herman, Panick Kalambay, Zhaolong Han, Yan Bao, Mengmeng Zhang, Dai Zhou   +7 more
openalex   +1 more source

Analytical Study of Fractional Epidemic Model via Natural Transform Homotopy Analysis Method [PDF]

, 2022
Hamdy R. Abdl-Rahim, Mohra Zayed, Gamal M. Ismail   +2 more
openalex   +1 more source

Solving Nonlinear Fractional Models in Superconductivity Using the q-Homotopy Analysis Transform Method [PDF]

, 2023
Khalid K. Ali, M. Maneea, Mohamed S. Mohamed   +2 more
openalex   +1 more source

Numerical Analysis for the Fractional Ambartsumian Equation via the Homotopy Herturbation Method [PDF]

, 2020
Weam G. Alharbi, Sergei Petrovskii
openalex   +1 more source

A Comparative Study of q-Homotopy Analysis Method and Liao’s Optimal Homotopy Analysis Method [PDF]

Advances in Computer and Communication, 2020
openaire   +1 more source