Results 71 to 80 of about 33,166 (180)

Approximate Representations of Shaped Pulses Using the Homotopy Analysis Method. [PDF]

Magn Reson (Gott), 2021
Crawley T, Palmer AG.
europepmc   +1 more source

Numerical approximation of Newell-Whitehead-Segel equation of fractional order

Nonlinear Engineering, 2016
The aim of the present work is to propose a user friendly approach based on homotopy analysis method combined with Sumudu transform method to drive analytical and numerical solutions of the fractional Newell-Whitehead-Segel amplitude equation which ...
Kumar Devendra, Sharma Ram Prakash
doaj   +1 more source

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

Propulsion 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, M.T. Rahim, Hamid Khan, Mubashir Qayyum   +3 more
doaj   +1 more source

Static analysis of composite beams on variable stiffness elastic foundations by the Homotopy Analysis Method. [PDF]

Acta Mech, 2021
Doeva O, Masjedi PK, Weaver PM.
europepmc   +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

Homotopy Analysis Method Based on Optimal Value of the Convergence Control Parameter for Solving Semi-Differential Equations

Journal of Mathematical Extension, 2011
In this paper, homotopy analysis method is directly extended to investigate nth order semi-differential equations and to derive their numerical solutions which is introduced by replacing some integer-order space derivatives by fractional derivatives ...
H. Hosseini Fadravi∗, H. Saberi Nik, R. Buzhabadi   +2 more
doaj  

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

Homotopy Perturbation Method For Fractional Shallow Water Equations

Sultan Qaboos University Journal for Science, 2014
In this paper, the homotopy perturbation method is adopted to find explicit and numerical solutions for systems of non-linear fractional shallow water equations. The fractional derivatives are described in the Caputo sense.
Kamel Al-Khaled, M. K. Al-Safeen
doaj   +1 more source

Homotopy Analysis Method for Ablowitz–Ladik Lattice

Zeitschrift für Naturforschung A, 2011
In this paper, the homotopy analysis method is successfully applied to solve the systems of differential-difference equations. The Ablowitz-Ladik lattice system are chosen to illustrate the method. Comparisons between the results of the proposed method and exact solutions reveal that the homotopy analysis method is very effective and simple in solving ...
Benny Y. C. Hon, Engui Fan, Qi Wang
openaire   +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