Results 91 to 100 of about 1,147 (198)
Fractional modelling arising in unidirectional propagation of long waves in dispersive media
Advances in Nonlinear Analysis, 2016 The purpose of this paper is to propose a modified and simple algorithm for fractional modelling arising in unidirectional propagation of long wave in dispersive media by using the fractional homotopy analysis transform method (FHATM).
Kumar Sunil +2 more
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Hybrid semi analytical method for geothermal U shaped heat exchanger
Case Studies in Thermal Engineering, 2018 In this paper, convective-conductive heat transfer processes between the all components of geothermal borehole heat exchanger (BHE) such as pipe-in, pipe-out and grout have been studied.
P. Jalili, D.D. Ganji, S.S. Nourazar
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Differential Transform Method for Quadratic Riccati Differential Equation, [PDF]
, 2010 : In this article differential transform method (DTM) is considered to solve quadratic Riccati differential equation. The results derived by differential transform method will be compared with the results of homotopy analysis method and Adomian ...
J Biazar, M Eslami
core
, 2020 This paper addresses the solution of the incompressible second-grade fluid models. Fundamental qualitative properties of the solution are primarily studied for proving the adequacy of the physical interpretations of the proposed model.
Mehmet Yavuz +3 more
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Improved Analysis for Squeezing of Newtonian Material between Two Circular Plates
Advances in Materials Science and Engineering, 2017 This article presents a scheme for the analysis of an unsteady axisymmetric flow of incompressible Newtonian material in the form of liquid squeezed between two circular plates.
Omar Khan +3 more
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An Analytical Study on Fractional Fokker-Planck Equation by Homotopy Analysis Transform Method
, 2013 In this article we introduce an analytical method, namely Homotopy Analysis Transform Method (HATM) which is a combination of Homotopy Analysis Method (HAM) and Laplace Decomposition Method (LDM).This scheme is simple to apply linear and nonlinear fractional differential equations and having less computational work in comparison of other exiting ...
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In this work, we introduce an innovative analytical–numerical approach to solving nonlinear fractional differential equations by integrating the homotopy perturbation method with the new integral transform.
Mokhtar Aly +3 more
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Implementation to the Different Differential Equations of Homotopy Analysis, Differential Transformed and Adomian Decomposition Method [PDF]
International Journal of Modeling and Optimization, 2013 In this study, the concept of Homotopy analysis method (HAM) is briefly introduced. Furthermore some non-linear problems are handled and the solutions of these problems are given using by HAM, DTM, ADM methods and the convergence of the solution is shown to the exact solution. Additionally, the three methods are compared and it is observed that the HAM
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Numerical study for systems of fractional differential equations via Laplace transform
, 2015 In this paper, we propose a numerical algorithm for solving system of fractional differential equations by using the homotopy analysis transform method.
Gupta, Sumit +2 more
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Fixed Point Theory and Algorithms for Sciences and EngineeringAbstract This research presents a new approach to tackle the fractional SIRS epidemic model, incorporating spatial diffusion and non-linear incidence rates. The SIRS model represents three compartments: susceptible (S), infected (I), and recovered (R), where susceptible individuals can contract the disease from infected ones and later ...
A. Gouri +3 more
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