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Analytical Approximate Solution of Chemical Kinetics Problems [PDF]
Computational Algorithms and Numerical Dimensions, 2022 In this article, the chemical kinetics problem is presented. The Differential Transformation Method (DTM) is presented to find an approximate analytical solution to the chemical kinetics problems.
Hatıra Günerhan
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Exact boundaries for the analytical approximate solution of a class of first-order nonlinear differential equations in the real domain [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 The paper gives a solution to one of the problems of the analytical approximate method for one class first order nonlinear differential equations with moving singular points in the real domain.
Viktor N. Orlov, Oleg A. Kovalchuk
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Axioms, 2023 This paper considers a theoretical substantiation of the influence of a perturbation of a moving singular point on the analytical approximate solution to the Van der Pol equation obtained earlier by the author.
Victor Orlov
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Approximate Analytical Solution for Quadratic Riccati Differential Equation [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2013 In this paper, we introduce an efficient method for solving the quadratic Riccati differential equation. In this technique, combination of Laplace transform and new homotopy perturbation methods (LTNHPM) are considered as an algorithm to the exact ...
H. Aminikhah
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Analytical approach to study water infiltration phenomenon in unsaturated soils using reduced differential transform method [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2022 In hydrology and soil sciences, infiltration is the process by which water on the ground surface enters the soil, and is described mathematically by Richard's equation.
Patel Yogeshwari, Jayesh M Dhodiya
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Analytical approximate solution of fractional order smoking epidemic model
Advances in Mechanical Engineering, 2022 In this paper, the fractional smoking epidemic model is presented. The model is presented in terms of Caputo’s fractional derivation. The fractional differential transformation method (FDTM) is presented to find an approximate analytical solution to the ...
Hatıra Günerhan +8 more
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IEEE Access, 2022 In providing an accurate approximate analytical solution to the non-linear system of fractional-order susceptible-infected-recovered epidemic model (FOSIREM) of childhood disease has been a challenge, because no norm to guarantees the convergence of the ...
Okundalaye Oluwaseun Olumide +2 more
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Differential transformation method for vibration of membranes [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2019 The purpose of this research is to apply the three-dimensional differential transform method to estimate solutions to the equation of motion for vibration in a membrane with certain types of boundary conditions.
Kamonpad Mansilp, Jaipong Kasemsuwan
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Slowly rotating solution of quadratic gravity: An analytical approximation method
Nuclear Physics B, 2023 As we know, it is a nontrivial task to obtain analytical solutions for various gravitational theories. In this work, we obtain an analytical approximate rotating black hole solution for quadratic gravity (QG).
S.N. Sajadi, S.H. Hendi
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Mathematics, 2021 We study a particular case of a convergence model of interest rates. The bond prices are given as solutions of a parabolic partial differential equation and we consider different possibilities of approximating them, using approximate analytical solutions.
Beáta Stehlíková
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