Analytical Approximate Solutions for a General Class of Nonlinear Delay Differential Equations [PDF]
The Scientific World Journal, 2014 We use the polynomial least squares method (PLSM), which allows us to compute analytical approximate polynomial solutions for a very general class of strongly nonlinear delay differential equations. The method is tested by computing approximate solutions
Bogdan Căruntu, Constantin Bota
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Analytical approximate solutions for nonplanar Burgers equations by weighted residual method
Results in Physics, 2020 In this work, analytical approximate progressive wave solutions for the generalized form of the nonplanar KdV-Burgers (KdV-B) and mKdV-Burgers (mKdV-B) equations are presented and the results are discussed.
H. Demiray, E.R. El-Zahar
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Analytical Approximate Solutions for Scalarized AdS Black Holes [PDF]
Universe, 2022 The spontaneous scalarization of Schwarzscild-AdS is investigated in the Einstein-scalar-Gauss–Bonnet (ESGB) theory. Firstly, we construct scalarized AdS black holes numerically.
De-Cheng Zou +5 more
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Highly Accurate Analytical Approximate Solutions of the Electrostatically Actuated Parallel Plates
IEEE Access, 2023 This paper is concerned with highly accurate analytical approximate solutions to dynamic oscillation of the parallel-plates model of an electrostatic micro-actuator.
W. J. Liu, X. Q. Zhao
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New Approximate Analytical Solutions of the Falkner-Skan Equation [PDF]
Journal of Applied Mathematics, 2012 We propose an iterative method for solving the Falkner-Skan equation. The method provides approximate analytical solutions which consist of coefficients of the previous iterate solution.
Beong In Yun
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Analytical approximate solutions to the nonlinear Fornberg–Whitham type equations via modified variational iteration method [PDF]
Partial Differential Equations in Applied MathematicsIn this paper, we utilize the modified variational iteration method introduced by Abassy et al. for obtaining the analytical approximate solutions of the nonlinear Fornberg–Whitham equation and modified nonlinear Fornberg–Whitham equation.
Md. Asaduzzaman +2 more
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Analytical approximate solutions to the Thomas-Fermi equation
Open Physics, 2014 The purpose of this paper is to show how to use the Optimal Homotopy Asymptotic Method (OHAM) to solve the nonlinear differential Thomas-Fermi equation.
Marinca Vasile, Ene Remus-Daniel
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Analytically approximation solution to Einstein-Cubic gravity
European Physical Journal C: Particles and Fields, 2022 In 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.
S. N. Sajadi, S. H. Hendi
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On approximate analytical solutions of transcendental equations [PDF]
Revista Brasileira de Ensino de FísicaIn this paper, we provide a simple method to analytically solve general problems in science and engineering, which involve transcendetal functions. To validate the technique, we first compared our results to the exact solutions of two well-known problems,
Regiane Aparecida Ragi Pereira +2 more
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Analytical and Approximate Solutions of a Novel Nervous Stomach Mathematical Model
Discrete Dynamics in Nature and Society, 2020 The stomach is usually considered as a hollow muscular sac, which initiates the second segment of digestion. It is the most sophisticated endocrine structure having unique biochemistry, physiology, microbiology, and immunology.
Yolanda Guerrero Sánchez +3 more
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