Results 31 to 40 of about 1,147 (198)
The generalized time-fractional Fornberg–Whitham equation: An analytic approach
Partial Differential Equations in Applied Mathematics, 2022 This work implements a novel analytical approach known as the q-Homotopy Analysis Shehu Transform Method to the time-fractional Fornberg–Whitham equation in Caputo’s sense.
Parthkumar P. Sartanpara +2 more
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A computational approach for fractional convection-diffusion equation via integral transforms
Ain Shams Engineering Journal, 2018 In this paper, two efficient analytic techniques namely the homotopy analysis transform method (HATM) and homotopy perturbation Sumudu transform method (HPSTM) are implemented to give a series solution of fractional convection-diffusion equation which ...
Jagdev Singh, Ram Swroop, Devendra Kumar
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Journal of Mathematics, 2022 In this study, the highly accurate analytical Aboodh transform decomposition method (ATDM) in the sense of Caputo fractional derivative is used to determine the approximate and exact solutions of both linear and nonlinear time-fractional Schrodinger ...
Muhammad Imran Liaqat +3 more
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Homotopy analysis transform algorithm to solve time-fractional foam drainage equation
Nonlinear Engineering, 2016 This paper emphasizes on finding the solution for a foam drainageequation using the technique of modified homotopy analysis transform method (MHATM). MHATM is a new amalgamation of the homotopy analysis method and Laplace transform method with homotopy ...
Singh Mukesh +3 more
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One Dimensional Model of Martensitic Transformation Solved by Homotopy Analysis Method
Zeitschrift für Naturforschung A, 2012 The homotopy analysis method (HAM) is applied to solve a nonlinear ordinary differential equation describing certain phase transition problem in solids. Both bifurcation conditions and analytical solutions are obtained simultaneously for the Euler-Lagrange equation of the martensitic transformation.
Chen Xuan, Cheng Peng, Yongzhong Huo
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Analytical study for singular system of transistor circuits
Alexandria Engineering Journal, 2014 In this paper, we propose a user friendly algorithm based on homotopy analysis transform method for solving observer design in generalized state space or singular system of transistor circuits.
Devendra Kumar +2 more
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Advances in Difference Equations, 2020 We present a fractional-order model for the COVID-19 transmission with Caputo–Fabrizio derivative. Using the homotopy analysis transform method (HATM), which combines the method of homotopy analysis and Laplace transform, we solve the problem and give ...
Dumitru Baleanu +2 more
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Advances in Difference Equations, 2021 We propose a new modification of homotopy perturbation method (HPM) called the δ-homotopy perturbation transform method (δ-HPTM). This modification consists of the Laplace transform method, HPM, and a control parameter δ.
Lanre Akinyemi +2 more
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Numerical approximation of Newell-Whitehead-Segel equation of fractional order
Nonlinear Engineering, 2016 The aim of the present work is to propose a user friendly approach based on homotopy analysis method combined with Sumudu transform method to drive analytical and numerical solutions of the fractional Newell-Whitehead-Segel amplitude equation which ...
Kumar Devendra, Sharma Ram Prakash
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Homotopy Analysis Laplace Transform Method for Analytical Solution of Porous Medium Equation
, 2022 In the present paper, we have derived an analytical solution of a porous medium equation utilizing Homotopy Analysis Laplace Transform Method (HALTM). The suggested approach is an amalgamation of Homotopy Analysis Method and Laplace Transform Method.
Dhara T. Patel, Amit K.Parikh
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