Results 101 to 110 of about 1,147 (198)

A reliable numerical algorithm for a fractional model of Fitzhugh-Nagumo equation arising in the transmission of nerve impulses

Nonlinear Engineering, 2019
The key objective of this paper is to study the fractional model of Fitzhugh-Nagumo equation (FNE) with a reliable computationally effective numerical scheme, which is compilation of homotopy perturbation method with Laplace transform approach.
Prakash Amit, Kaur Hardish
doaj   +1 more source

HOMOTOPY ANALYSIS NATURAL TRANSFORM METHOD FOR SOLVING FRACTIONAL PHYSICAL MODELS [PDF]

International Journal of Pure and Apllied Mathematics, 2018
S.Z. Rida, A.A.A. Arafa, A.S. Abedl-Rady, H.R. Abdl-Rahim   +3 more
openaire   +1 more source

Analytical Solution of Generalized Bratu-Type Fractional Differential Equations Using the Homotopy Perturbation Transform Method

In this study, we present the generalized form of the higher-order nonlinear fractional Bratu-type equation. In this generalization, we deal with a generalized fractional derivative, which is quite useful from an application point of view.
Ravi Shanker Dubey, Badr Saad T. Alkahtani, Aafrin Gouri, Ghaliah Alhamzi   +3 more
core   +1 more source

P A SOLVING FRACTIONAL INTEGRO DIFFERENTIAL EQUATIONS BY HOMOTOPY ANALYSIS TRANSFORM METHOD

, 2016
: In this paper, we introduce an analytical method, which so called the homotopy analysis transform method (HATM) which is a combination of HAM and Laplace decomposition method (LDM). This scheme is simple to apply linear and nonlinear fractional integro-
§, Muteb R Alharthi, Mohamed S Mohamed, Refah A Alotabi   +3 more
core  

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 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

Innovative Approaches in Differential Equation Analysis Using the Enhanced Differential Transform and Homotopy Perturbation Method

Ordinary differential equations (ODEs) are very basic when it comes to modeling dynamic systems in various fields of science and engineering. However, solving high-dimensional, nonlinear, and stiff ODEs is still a major challenge given the limitations of
M. Priyadharshini, Yogesh Kumar Sharma, V. Murugesh, Umesh Kumar Lilhore, Sarita Simaiya, Lidia Gosy Tekeste   +5 more
core   +1 more source

Population balances involving aggregation and breakage through homotopy approaches

, 2018
Homotopy techniques in nonlinear problems are getting increasingly popular in engineering practice. The main reason is because the homotopy method deforms continuously a difficult problem under study into a simple problem, which then can be easy to solve.
Abhishek Dutta, Denis Constales, Zehra Pınar, Pinar, Zehra, Constales, Denis, Ozis, Turgut, Turgut Öziş, Pınar, Zehra, Dutta, Abhishek   +8 more
core   +1 more source

A Novel Homotopy Perturbation Sumudu Transform Method for Nonlinear Fractional PDEs: Applications and Comparative Analysis

CoRR
This study introduces the Homotopy Perturbation Sumudu Transform Method (HPSTM), a novel hybrid approach combining the Sumudu transform with homotopy perturbation to solve nonlinear fractional partial differential equations (FPDEs), including fractional porous medium, heat transfer, and Fisher equations, using the Caputo fractional derivative.
openaire   +2 more sources

Assessing the Efficiency of the Homotopy Analysis Transform Method for Solving a Fractional Telegraph Equation with a Bessel Operator

In this study, we apply the Laplace Transform Homotopy Analysis Method (LTHAM) to numerically solve a fractional-order telegraph equation with a Bessel operator.
Hassan Eltayeb Gadain, Said Mesloub
core   +1 more source