Results 51 to 60 of about 835 (135)
Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.The Fractional Power Series Method (FPSM) is an effective and efficient method that offers an analytic method to find exact solution for Fractional Partial Differential Equations (FPDEs) in a functional space. In recent time, the FPSM has been applied in various science and engineering fields to solve physical problems in areas such as fluid dynamics ...
Isaac Addai +4 more
wiley +1 more source
Annales Mathematicae Silesianae, 2019 In this paper the authors aspire to obtain the approximate analytical solution of Modified Burgers Equation with newly defined conformable derivative by employing homotopy analysis method (HAM).
Kurt Ali, Tasbozan Orkun
doaj +1 more source
International Journal of Differential Equations, 2009 An analytical expression for the solution of the prey-predator problem by an adaptation of the homotopy analysis method (HAM) is presented. The HAM is treated as an algorithm for approximating the solution of the problem in a sequence of time intervals ...
A. K. Alomari +2 more
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Convergence of Iterative Methods Applied to Generalized Fisher Equation
International Journal of Differential Equations, 2010 A generalized Fisher's equation is solved by using the modified Adomian decomposition method (MADM), variational iteration method (VIM), homotopy analysis method (HAM), and modified homotopy perturbation method (MHPM).
Sh. Sadigh Behzadi
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Solitonic Solutions for Homogeneous KdV Systems by Homotopy Analysis Method
Journal of Applied Mathematics, 2012 We study two-component evolutionary systems of a homogeneous KdV equations of second and third order. The homotopy analysis method (HAM) is used for analytical treatment of these systems.
Mohammed Ali +2 more
doaj +1 more source
مجلة علوم ذي قار, 2019 In this paper we solve the nonlinear wave-like Equations with variable coefficient by three Semi numerical methods, varational iteration method (VIM), homotopy perturbation method (HPM) and homotopy analysis method (HAM).
Mohanad Riyadh
doaj
International Journal of Differential Equations, 2011 The analytical solution of the foam drainage equation with time- and space-fractional derivatives was derived by means of the homotopy analysis method (HAM). The fractional derivatives are described in the Caputo sense.
Hadi Hosseini Fadravi +2 more
doaj +1 more source
On the Convergence of the Homotopy Analysis Method for Solving Fredholm Integral Equations
Walailak Journal of Science and Technology, 2013 The aim of this paper is to study the convergence of the Homotopy analysis method (HAM) for solving Fredholm integral equations. A sufficient condition for convergence of the method is illustrated.
Behzad GHANBARI
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Advanced semi-analytical techniques for the q-fractional Ivancevic option pricing model
Ain Shams Engineering JournalThis study investigates the q-fractional Ivancevic option pricing model using two advanced semi-analytical methods: the q-Laplace Residual Power Series Method (q-LRPSM) and the q-Homotopy Analysis Method (q-HAM). The q-LRPSM is introduced and adapted for
Khalid K. Ali +2 more
doaj +1 more source
Abstract and Applied Analysis, 2013 Homotopy analysis method (HAM) is applied to obtain the approximate solution of inner-resonance of tangent cushioning packaging system based on critical components.
Mohammad Ghoreishi +2 more
doaj +1 more source