Results 111 to 120 of about 183,315 (287)

Analysis of Homotopy Perturbation Method for Solving Fractional Order Differential Equations

Mathematics, 2019
The analysis of Homotopy Perturbation Method (HPM) for the solution of fractional partial differential equations (FPDEs) is presented. A unified convergence theorem is given.
Shumaila Javeed, D. Baleanu, Asif Waheed, Mansoor Shaukat Khan, Hira Affan   +4 more
semanticscholar   +1 more source

Fractional analysis of unsteady squeezing flow of Casson fluid via homotopy perturbation method. [PDF]

Sci Rep, 2022
Qayyum M, Ahmad E, Afzal S, Sajid T, Jamshed W, Musa A, Tag El Din ESM, Iqbal A.   +7 more
europepmc   +1 more source

New approach to parameterized homotopy perturbation method

Thermal Science, 2018
In this paper, new approach to parameterized homotopy perturbation method is presented to solve non-oscillatory problems. In contrast to the classical version of the homotopy method, optimal value of ? is identified and used to obtain approximate solutions.
Magaji Adamu, Peter Ogenyi
openaire   +2 more sources

Homotopy Perturbation Method for Solving Fokker-Planck Equation

مجلة علوم ذي قار, 2019
In this paper, linear and nonlinear Fokker-Planck equations and some similar equations by using homotopy perturbation method are solved. Some examples are solved by homotopy perturbation method to illustrate the simplicity and reliability of this method.
Jehan M. Khudhir
doaj  

Approximate Solutions of Fractional Nonlinear Equations Using Homotopy Perturbation Transformation Method

Abstract and Applied Analysis, 2012
A homotopy perturbation transformation method (HPTM) which is based on homotopy perturbation method and Laplace transform is first applied to solve the approximate solution of the fractional nonlinear equations.
Yanqin Liu
doaj   +1 more source

Analytical solutions of convection–diffusion problems by combining Laplace transform method and homotopy perturbation method

Alexandria Engineering Journal, 2015
The aim of this paper was to present a user friendly numerical algorithm based on homotopy perturbation transform method for solving various linear and nonlinear convection-diffusion problems arising in physical phenomena where particles, energy, or ...
Sumit Gupta, Devendra Kumar, Jagdev Singh   +2 more
doaj   +1 more source

Conceptual analysis of the combined effects of vaccination, therapeutic actions, and human subjection to physical constraint in reducing the prevalence of COVID-19 using the homotopy perturbation method. [PDF]

Beni Suef Univ J Basic Appl Sci, 2023
Kolawole MK, Olayiwola MO, Alaje AI, Adekunle HO, Odeyemi KA.   +4 more
europepmc   +1 more source

Analytic study for fractional coupled Burger’s equations via Sumudu transform method

Nonlinear Engineering, 2018
In this work, we aim to apply a reliable analytic algorithm based on homotopy perturbation Sumudu transform method (HPSTM) to examine the nonlinear time-fractional coupled Burger’s equations.
Prakash Amit, Verma Vijay, Kumar Devendra, Singh Jagdev   +3 more
doaj   +1 more source

The Least Squares Homotopy Perturbation Method for Systems of Differential Equations with Application to a Blood Flow Model [PDF]

, 2022
Mădălina Sofia Paşca, Olivia Bundău, Adina Juratoni, Bogdan Căruntu   +3 more
openalex   +1 more source

Approximate solutions to nonlinear fractional order partial differential equations arising in ion-acoustic waves

AIMS Mathematics, 2019
An approximative procedure named asymptotic homotopy perturbation method (AHPM) is introduced to obtain solutions of the non-linear fractional order models.
Samia Bushnaq, Sajjad Ali, Kamal Shah, Muhammad Arif   +3 more
doaj   +1 more source