Results 81 to 90 of about 1,952 (181)
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.The Fractional Power Series Method (FPSM) is a method which provides systematic procedure to obtain exact solution of the Fractional Partial Differential Equations (FPDEs). Recently, the FPSM has been applied in science and engineering to address physical problems in heat conduction, fluid dynamics, quantum mechanics, viscoelastic and so on ...
Isaac Addai +4 more
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Kuwait Journal of ScienceThis study presents a comparative analysis of the classical Adomian decomposition method (ADM) and the spectral Adomian decomposition method (SADM) for solving the strongly nonlinear boundary value problem governing the human corneal shape.
Mohammed Abdalbagi
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Adomian Decomposition Method for Solving Parabolic Partial Differential Equations in Three Dimensions [PDF]
المجلة العراقية للعلوم الاحصائية, 2011 In this paper, we use the approximate solution of linear partial differential equations in three dimensions of the parabolic type by using Adomian Decomposition Method (ADM).
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International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.An intuitionistic fuzzy number, which incorporates both membership and nonmembership functions at a same time, allows for a more accurate representation of uncertainty. This work presents an approximate solution to the Volterra integral equation that involves both membership and nonmembership degrees of uncertainty named as intuitionistic fuzzy ...
Zain Khan +3 more
wiley +1 more source
Comparison Homotopy Perturbation and Adomian Decomposition Techniques for Parabolic Equations [PDF]
, 2017 This paper compares homotopy perturbation and Adomian decomposition techniques for the solution of parabolic equations. Some examples are considered to illustrate the techniques.
Okagbue, H. I. +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.The Painlevé equations and their series and rational solutions are essential in applied, pure mathematics and theoretical physics. Recently, quantum algorithms have helped to implement numerical algorithms more easily by performing linear algebra in our working. This article uses a hybrid of quantum computing schemes and spectral methods for the second
Saeid Abbasbandy, Shikha Binwal
wiley +1 more source
A decomposition method for convective–radiative fin with heat generation
Ain Shams Engineering Journal, 2015 This work is aimed at studying the effect of environmental temperature such as radiation sink temperature, convection sink temperature and heat generation number on the temperature distribution and efficiency of a convective–radiative stationary fin. The
Pranab Kanti Roy +2 more
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Application of Optimal Homotopy Asymptotic Method to Burger Equations
Journal of Applied Mathematics, 2013 We apply optimal homotopy asymptotic method (OHAM) for finding approximate solutions of the Burger's-Huxley and Burger's-Fisher equations. The results obtained by proposed method are compared to those of Adomian decomposition method (ADM) (Ismail et al.,
R. Nawaz, H. Ullah, S. Islam, M. Idrees
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Abstract and Applied Analysis, 2012 We solve some higher-order boundary value problems by the optimal homotopy asymptotic method (OHAM). The proposed method is capable to handle a wide variety of linear and nonlinear problems effectively.
Javed Ali +3 more
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Dynamical Analysis of Approximate Solutions of HIV-1 Model with an Arbitrary Order
Complexity, 2019 This article studies the dynamical behavior of the analytical solutions of the system of fraction order model of HIV-1 infection. For this purpose, first, the proposed integer order model is converted into fractional order model.
Asma +5 more
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