Results 21 to 30 of about 3,506 (170)
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
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Solitary smooth hump solutions of the Camassa-Holm equation by means of the homotopy analysis method [PDF]
, 2008 The homotopy analysis method is used to find a family of solitary smooth hump solutions of the Camassa-Holm equation. This approximate solution, which is obtained as a series of exponentials, agrees well with the known exact solution.
Abbasbandy, S., Parkes, E.J.
core +1 more source
Journal of Applied & Computational Mathematics, 2012 The aim of this work is to apply the homotopy perturbation method and homotopy analysis method to the problem of thermal explosion in a flammable gas mixture with the addition of volatile fuel droplets. The system of equations that describes the effects of heating, evaporation, and combustion of fuel in a polydisperse spray is simplified.
Ophir Nave, Yaron Lehavi, Vladimir Gol
openaire +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
On complete intersections [PDF]
, 2001 We construct closed complex submanifolds of dimension three in C^5 which are differential complete intersections but not holomorphic complete intersections.
Forstneric, Franc
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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
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Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method [PDF]
, 2010 In this paper, the homotopy-perturbation method (HPM) is applied to obtain approximate analytical solutions for the Cauchy reaction-diffusion problems. HPM yields solutions in convergent series forms with easily computable terms.
I. Hashim,, M.S.H. Chowdhury,
core
International Journal for Numerical Methods in Fluids, EarlyView.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 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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Heat Transfer, Volume 55, Issue 3, Page 1674-1682, May 2026.ABSTRACT Traditional numerical methods, such as finite difference methods (FDM), finite element methods (FEM), and spectral methods, often face meshing challenges and high computational cost for solving nonlinear coupled differential equations. Machine learning techniques, specifically Physics‐informed machine learning, address these obstacles by ...
Ahmad, Feroz Soomro, Husna Zafar
wiley +1 more source