Results 11 to 20 of about 835 (135)
Hybridization of Genetic Algorithm with Homotopy Analysis Method for Solving Fractional Partial Differential Equations [PDF]
Eurasian Journal of Science and Engineering, 2018 In this work, the Homotopy Analysis Method (HAM) is applied to solve fractional Partial Differential Equations (PDEs). The solution of HAM has improved the results by using Genetic Algorithm (GA).
Ahmed Entesar +2 more
doaj +1 more source
Approximate Analytic Solution for the KdV and Burger Equations with the Homotopy Analysis Method
Journal of Applied Mathematics, 2012 The homotopy analysis method (HAM) is applied to obtain the approximate analytic solution of the Korteweg-de Vries (KdV) and Burgers equations. The homotopy analysis method (HAM) is an analytic technique which provides us with a new way to obtain series ...
Mojtaba Nazari +3 more
doaj +1 more source
Advances in Fuzzy Systems, 2021 In this work, the purpose is to discuss the homotopy analysis method (HAM) for the use of intuitionistic fuzzy differential equations with the linear differential operator.
S. Melliani +3 more
doaj +1 more source
Abstract and Applied Analysis, 2014 This paper presents a new application of the homotopy analysis method (HAM) for solving evolution equations described in terms of nonlinear partial differential equations (PDEs).
S. S. Motsa
doaj +1 more source
Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT This study carries significant consequences in various engineering applications, such as cooling rotating disk surfaces, improving chemical reactor performance, and designing filtration systems. Considering these main applications in view, the aim of this study is to investigate time‐dependent Casson hybrid nanofluid flow on a permeable ...
Ebrahem A. Algehyne +6 more
wiley +1 more source
Differential Equations and Nonlinear Mechanics, 2008 The homotopy analysis method (HAM) is applied to obtain the approximate traveling wave solutions of the coupled Whitham-Broer-Kaup (WBK) equations in shallow water. Comparisons are made between the results of the proposed method and exact solutions.
M. M. Rashidi, D. D. Ganji, S. Dinarvand
doaj +1 more source
On time independent Schrödinger equations in quantum mechanics by the homotopy analysis method
Theoretical and Applied Mechanics Letters, 2019 A general analytic approach, namely the homotopy analysis method (HAM), is applied to solve the time independent Schrödinger equations. Unlike perturbation method, the HAM-based approach does not depend on any small physical parameters, corresponding to ...
Jyotirmoy Rana, Shijun Liao
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International Journal for Numerical Methods in Fluids, Volume 98, Issue 8, Page 980-999, August 2026.This work aims to develop a generalised and efficient semi‐analytical method that combines the Laplace decomposition method with Pade approximation (LDMPA) to solve multidimensional nonlinear integro‐partial differential equation. For a one‐dimension case, explicit (closed‐form) solutions for the number density functions are derived for the first time.
Somveer Keshav +4 more
wiley +1 more source
On the application of Liao’s method for solving linear systems
Ain Shams Engineering Journal, 2013 In this paper, an analytical attitude is proposed for solving linear systems by Homotopy Analysis Method (HAM). On the basis of HAM we design new iterative methods. The convergence properties of the proposed method have been analyzed.
H. Saberi Najafi, S.A. Edalatpanah
doaj +1 more source
Asia-Pacific Journal of Chemical Engineering, Volume 21, Issue 3, May/June 2026.ABSTRACT This paper presents a comprehensive numerical analysis of magnetohydrodynamic (MHD) Casson nanofluid movement over a permeable, linearly stretching sheet, integrating the contributions of non‐uniform heat generation or absorption and chemical interaction.
Manoj Kumar Sahoo +3 more
wiley +1 more source