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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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Analytically approximate solutions to higher derivative gravity [PDF]
Physical Review D, 2020 We obtain analytical approximate black hole solutions for higher derivative gravity in the presence of Maxwell electromagnetic source. We construct near horizon and asymptotic solutions and then use these to obtain an approximate analytic solution using a continued fraction method to get a complete solution.
S. N. Sajadi +3 more
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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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Analytically approximation solution to $$R^{2}$$ gravity
The European Physical Journal C, 2023 AbstractIn this paper, we obtain analytical approximate black hole solutions in the framework of f(R) gravity and the absence of a cosmological constant. In this area, we apply the equations of motion of the theory to a spherically symmetric spacetime with one unknown function and derive black hole solutions without any constraints on the Ricci scalar.
Sajadi, Seyed Naseh +2 more
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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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Analytically approximation solution to Einstein-Cubic gravity
The European Physical Journal C, 2022 AbstractIn this work, we introduce analytical approximate black hole solutions in Einstein-Cubic gravity. To obtain complete solutions, we construct the near horizon and asymptotic solutions as the first step. Then, the approximate analytic solutions are obtained through continued-fraction expansion. We also compute the thermodynamic quantities and use
Sajadi, S., Hendi, S.
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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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