Results 231 to 240 of about 183,315 (287)

The homotopy perturbation method for fractional differential equations: part 1 Mohand transform

, 2021
Purpose This study aims that very lately, Mohand transform is introduced to solve the ordinary and partial differential equations (PDEs). In this paper, the authors modify this transformation and associate it with a further analytical method called ...
M. Nadeem, Ji-Huan He, Asad Islam
semanticscholar   +1 more source

The homotopy perturbation method for fractional differential equations: part 2, two-scale transform

International journal of numerical methods for heat & fluid flow, 2021
Purpose The purpose of this paper is to find an approximate solution of a fractional differential equation. The fractional Newell–Whitehead–Segel equation (FNWSE) is used to elucidate the solution process, which is one of the nonlinear amplitude ...
M. Nadeem, Jihuan He
semanticscholar   +1 more source

Homotopy perturbation method with three expansions for Helmholtz-Fangzhu oscillator

International Journal of Modern Physics B, 2021
This paper shows that the Toda oscillator can be converted to a new Helmholtz-Fangzhu equation, which is solved by the homotopy perturbation method with three expansions.
Jihuan He, Y. El‐Dib
semanticscholar   +1 more source

Comparison of Homotopy Perturbation Method with New Homotopy Perturbation Method

SSRN Electronic Journal, 2019
In this article, a new homotopy technique is presented for the mathematical analysis of finding the solution of partial differential equation and we compare the decision of using NHPM with those using HPM to view the efficacy and advantageousness of the new capability.
Monika Dhariwal, Nahid Fatima
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Solving variational problems by homotopy–perturbation method

International Journal for Numerical Methods in Engineering, 2008
AbstractIn this paper, we consider some problems in calculus of variations. Homotopy–perturbation method (HPM) is adopted to obtain approximate analytical solutions to variational problems. The solutions are obtained in the form of rapidly convergent infinite series with easily computable terms.
Abdulaziz, O., Hashim, I., Chowdhury, M. S. H.   +2 more
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On the analytical and numerical solutions of the damped nonplanar Shamel Korteweg–de Vries Burgers equation for modeling nonlinear structures in strongly coupled dusty plasmas: Multistage homotopy perturbation method

The Physics of Fluids, 2021
The dissipative cylindrical and spherical (nonplanar) electrostatic low-frequency dust-acoustic waves (DAWs) including solitary and shock waves in a collisional and unmagnetized strongly coupled dusty plasma are investigated analytically and numerically.
S. El-Tantawy, A. Salas, M. R. Alharthi
semanticscholar   +1 more source

Integration using He’s homotopy perturbation method

Chaos, Solitons & Fractals, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Comparison of homotopy perturbation method and homotopy analysis method

Applied Mathematics and Computation, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Asymptotology by homotopy perturbation method

Applied Mathematics and Computation, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Homotopy Perturbation Method for Solving Mathematical Model of Novel Coronavirus Differential Equations

Social Science Research Network, 2020
In this research work we apply the Homotopy Perturbation Method (HPM) to solve the Three-dimensional mathematical model of Novel Coronavirus differential ...
Monika Fatima Nahid Dhariwal
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