Results 1 to 10 of about 57,752 (159)

Analytical and semi-analytical solutions for Phi-four equation through three recent schemes

open access: yesResults in Physics, 2021
This manuscript investigates the analytical and semi-analytical solutions of nonlinear phi-four (PF) equation by applying the sech–tanh expansion method, modified Ψ′Ψ-expansion method and Adomian decomposition method.
Mostafa M.A. Khater   +3 more
doaj   +3 more sources

Abundant accurate analytical and semi-analytical solutions of the positive Gardner–Kadomtsev–Petviashvili equation

open access: yesOpen Physics, 2022
This research article examines the correctness of two new analytical methods for solving the internal solitary waves of shallow seas. To get the computational solutions to the positive (2 + 1)-dimensional Gardner–Kadomtsev–Petviashvili model, the ...
Zhao Dexu   +5 more
doaj   +2 more sources

HEDSATS: High energy density semi-analytical thermal solutions

open access: yesSoftwareX, 2019
HEDSATS is a mathematical simulation library designed for the modelling of the 3D transient heat equation due to the application of various distributed volumetric heat sources, representative of advanced manufacturing processes. The library constructs 3D
T.F. Flint, M.C. Smith
doaj   +3 more sources

Analytical, semi-analytical, and numerical solutions for the Cahn–Allen equation [PDF]

open access: yesAdvances in Difference Equations, 2020
This paper studies the analytical, semi-analytical, and numerical solutions of the Cahn–Allen equation, which plays a vital role in describing the structure of the dynamics for phase separation in Fe–Cr–X ( X=Mo,Cu $X=Mo,Cu$) ternary alloys. The modified
Mostafa M. A. Khater   +3 more
doaj   +2 more sources

Semi-analytical solutions of the Schnakenberg model of a reaction-diffusion cell with feedback

open access: yesResults in Physics, 2018
This paper considers the application of a semi-analytical method to the Schnakenberg model of a reaction-diffusion cell. The semi-analytical method is based on the Galerkin method which approximates the original governing partial differential equations ...
K.S. Al Noufaey
doaj   +3 more sources

Comments on the paper: Analytical and semi-analytical solutions for Phi-four equation through three recent schemes by Mostafa M.A. Khater and et al. [RINP, 22 (2021) 103954]

open access: yesResults in Physics, 2021
The aim of this comment paper is to show that the results obtained as semi-analytical solutions in  [1] are incorrect.
Lazhar Bougoffa
doaj   +3 more sources

Semi-Analytical Solutions for the Shimizu–Morioka Dynamical System

open access: yesAxioms
The Shimizu–Morioka dynamical system is analytically investigated in this paper by means of the Optimal Auxiliary Functions Method (OAFM). This system has a chaotic dynamical behavior, specified for more physical applications as chaos synchronization, an
Remus-Daniel Ene   +2 more
doaj   +2 more sources

Unveiling protoplanetary structure equations: Semi-analytical solutions via the homotopy analysis method [PDF]

open access: yesHeliyon
This paper revisits the distribution of thermodynamic variables within initial protoplanets formed via gravitational instability (GI) across a broad mass spectrum ranging from 0.3MJ to 10MJ (where 1MJ denotes 1 Jupiter mass, equal to 1.8986×1030 g ...
Gour Chandra Paul   +5 more
doaj   +2 more sources

Analytical and semi-analytical ample solutions of the higher-order nonlinear Schrödinger equation with the non-Kerr nonlinear term

open access: yesResults in Physics, 2020
In this paper, we investigate distinct novel analytical and semi-analytical solutions of the higher-order nonlinear Schrödinger equation with the non-Kerr nonlinear term by the employment of there different schemes.
Mostafa M.A. Khater   +5 more
doaj   +3 more sources

One-dimensional consolidation of unsaturated soils considering self-weight: Semi-analytical solutions

open access: yesSoils and Foundations, 2021
For the newly deposited soil, the consolidation will occur under the self-weight and external load jointly if the soil is treated by the stack pre-pressure method.
Lei Wang   +3 more
doaj   +3 more sources

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