[HTML][HTML] Laplace transform: making the variational iteration method easier
The identification of the Lagrange multiplier plays an import rule in the variational iteration
method, and the variational theory is widely used for this purpose. This paper suggests an …
method, and the variational theory is widely used for this purpose. This paper suggests an …
Lagrange crisis and generalized variational principle for 3D unsteady flow
JH He - International Journal of Numerical Methods for Heat & …, 2020 - emerald.com
Purpose A three-dimensional (3D) unsteady potential flow might admit a variational
principle. The purpose of this paper is to adopt a semi-inverse method to search for the …
principle. The purpose of this paper is to adopt a semi-inverse method to search for the …
A modified Li-He's variational principle for plasma
JH He - International Journal of Numerical Methods for Heat & …, 2021 - emerald.com
Purpose It is extremely difficult to establish a variational principle for plasma. Kalaawy
obtained a variational principle by using the semi-inverse method in 2016, and Li and He …
obtained a variational principle by using the semi-inverse method in 2016, and Li and He …
A variational principle for a thin film equation
JH He, C Sun - Journal of Mathematical Chemistry, 2019 - Springer
Thin film arises in various applications from electrochemistry to nano devices, many
mathematical tools were adopted to study the problem, eg Lie symmetries and conservation …
mathematical tools were adopted to study the problem, eg Lie symmetries and conservation …
An efficient computational technique for local fractional Fokker Planck equation
The key aim of the present study is to compute the solution of local fractional Fokker Planck
equation (LFFPE) on the Cantor set. We perform a comparison between the reduced …
equation (LFFPE) on the Cantor set. We perform a comparison between the reduced …
On the local fractional wave equation in fractal strings
The key aim of the present study is to attain nondifferentiable solutions of extended wave
equation by making use of a local fractional derivative describing fractal strings by applying …
equation by making use of a local fractional derivative describing fractal strings by applying …
[HTML][HTML] Characteristics of heat transfer and fluid flow in microchannel heat sinks with rectangular grooves and different shaped ribs
Q Zhu, K Chang, J Chen, X Zhang, H **a… - Alexandria Engineering …, 2020 - Elsevier
Microchannels are effective heat sinks for microelectronic systems. However, it remains
unclear what form of channels will be most effective in improving the overall performance of …
unclear what form of channels will be most effective in improving the overall performance of …
[PDF][PDF] On approximate solutions for fractional system of differential equations with Caputo-Fabrizio fractional operator
HK Jassim, MA Shareef - J. Math. Comput. Sci, 2021 - researchgate.net
In this paper, we apply the Daftardar-Jafari method (DJM) and Sumudu decomposition
method (SDM) to obtain the approximate analytical solutions of the fractional system of …
method (SDM) to obtain the approximate analytical solutions of the fractional system of …
The fractional complex transform: A novel approach to the time-fractional Schrödinger equation
This paper presents a thorough study of a time-dependent nonlinear Schrödinger (NLS)
differential equation with a time-fractional derivative. The fractional time complex transform is …
differential equation with a time-fractional derivative. The fractional time complex transform is …
A novel approach for solving linear and nonlinear time-fractional Schrödinger equations
There is significant literature on Schrödinger differential equation (SDE) solutions, where the
fractional derivatives are stated in terms of Caputo derivative (CD). There is hardly any work …
fractional derivatives are stated in terms of Caputo derivative (CD). There is hardly any work …