Approximate solution of Newell-Whitehead-Segel model with time-fractional derivative. [PDF]
PLoS ONE, 2023 In the current analysis, we developed a significant approach for deriving the approximate solution of the Newell-Whitehead-Segel model with Caputo derivatives. This scheme is developed based on Sumudu transform and the residual power series method (RPSM)
Jinxing Liu +2 more
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Analytic Approximate Solution for Falkner-Skan Equation [PDF]
The Scientific World Journal, 2014 This paper deals with the Falkner-Skan nonlinear differential equation. An analytic approximate technique, namely, optimal homotopy asymptotic method (OHAM), is employed to propose a procedure to solve a boundary-layer problem. Our method does not depend
Vasile Marinca +2 more
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Novel intelligent architecture and approximate solution for future networks. [PDF]
PLoS ONE, 2023 Private networks have become popular for secure data sharing and anonymous communication in many domains: enterprise environments, military, journalism, telecommunication, healthcare, to name a few.
Akram Sarhan, Mahdi Jemmali
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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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Research on the Calculation Method of Electrostatic Field of a Thunderstorm Cloud
Mathematics, 2022 The electrostatic field in the space excited by a thunderstorm cloud reflects the trend of the spatial potential and has a great influence on the selection of lightning discharge paths.
Lin Wang, Haojiang Wan, Yazhou Chen
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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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Time-Fractional Differential Equations with an Approximate Solution
Journal of Nigerian Society of Physical Sciences, 2022 This paper shows how to use the fractional Sumudu homotopy perturbation technique (SHP) with the Caputo fractional operator (CF) to solve time fractional linear and nonlinear partial differential equations.
Lamees K. Alzaki, Hassan Kamil Jassim
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New Method for Solving Fuzzy LR Interval Linear Systems Using Least Squares Models
Fuzzy Information and Engineering, 2022 Recently, Ghanbari and Mahdavi-Amiri [2015, Soft Computing] have proposed a model to characterize exact solutions and presented an algorithm to compute approximate solutions.
Mehrnoosh Salari +2 more
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Invariant Solutions for a Class of Perturbed Nonlinear Wave Equations
Mathematics, 2017 Approximate symmetries of a class of perturbed nonlinear wave equations are computed using two newly-developed methods. Invariant solutions associated with the approximate symmetries are constructed for both methods. Symmetries and solutions are compared
Waheed A. Ahmed +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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