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A semi-analytical solution and AI-based reconstruction algorithms for magnetic particle tracking. [PDF]
PLoS ONE, 2021 Magnetic particle tracking is a recently developed technology that can measure the translation and rotation of a particle in an opaque environment like a turbidity flow and fluidized-bed flow.
Huixuan Wu +3 more
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Semi analytical solution strategy for fractional Fornberg Whitham equation using Temimi Ansari method [PDF]
Scientific ReportsThis study presents semi-analytical solutions for the fractional Fornberg–Whitham (FFW) equation using the Fractional Temimi–Ansari Method (FTAM). Fractional derivatives are defined in the senses of Atangana–Baleanu–Caputo (ABC) and Caputo. The existence
Anas A. M. Arafa +5 more
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Semi-analytical solution of cohesive zone model for cement-based materials [PDF]
Scientific ReportsThe low tensile strength characteristics of cement-based materials are the biggest defect restricting their use. Understanding the mechanisms behind tensile cracking shows great significance in guiding the design of cement-based materials and their ...
Yong-Kang Hou +3 more
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Nonlinear double-beam system dynamics [PDF]
Archives of Civil Engineering, 2021 Double-beam model is considered in many investigations both theoretical and typically engineering ones. One can find different studies concerning analysis of such structures behaviour, especially in the cases where the system is subjected to dynamic ...
Piotr Koziol, Rafał Pilecki
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Semi Analytical Solution for Fuzzy Autonomous Differential Equations
International Journal of Analysis and Applications, 2022 In this work, we have used fuzzy Adomian decomposition method to find the fuzzy semi analytical solution of the fuzzy autonomous differential equations with fuzzy initial conditions. This method allows for the solution of the fuzzy initial value problems
Mazin H. Suhhiem, Raad I. Khwayyit
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Solution of time fractional Fitzhugh–Nagumo equation using semi analytical techniques
Results in Physics, 2023 In this work, we apply three different techniques to solve the Fitzhugh–Nagumo equation that is an important equation used to describe the propagation of electrical signals in excitable media, such as nerve fibers.
Zhi-Yong Fan +4 more
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A Semi-Analytical Solution of Inverse Laplace Transform
Journal of Mathematics, 2022 We propose a general method for constructing the semi-analytical solution of the inverse Laplace transform, realized through the powerful exponential approximation invented by Wang et al. in 1993.
Shuang Luo, Fu-yao Zhao
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Frontiers in Physics, 2021 In this work, two approaches are introduced to solve a linear damped nonlinear Schrödinger equation (NLSE) for modeling the dissipative rogue waves (DRWs) and dissipative breathers (DBs). The linear damped NLSE is considered a non-integrable differential
S. A. El-Tantawy +3 more
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A Review: Differential Transform Method for Semi-Analytical Solution of Differential Equations
International Journal of Applied Mechanics and Engineering, 2020 In this article, the semi-analytical method known as the Differential Transform Method (DTM) for solving different types of differential equations is reviewed.
M.M. Rashidi +3 more
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Nonlinear analysis of Euler beams resting on a tensionless soil with arbitrary configurations
Beni-Suef University Journal of Basic and Applied Sciences, 2022 Background The nonlinear interaction between an elastic Euler beam and a tensionless soil foundation is studied. The exact analytical solutions of the nonlinear problem are rather complicated.
Heba Abdelfatah +2 more
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