A New Method for Approximate Solutions of Some Nonlinear Equations: Residual Power Series Method
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Date
2016
Journal Title
Journal ISSN
Volume Title
Publisher
Sage Publications Ltd
Open Access Color
GOLD
Green Open Access
Yes
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Publicly Funded
No
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Top 10%
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Top 10%
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Top 10%
Abstract
In this work, a powerful iterative method called residual power series method is introduced to obtain approximate solutions of nonlinear time-dependent generalized Fitzhugh-Nagumo equation with time-dependent coefficients and Sharma-Tasso-Olver equation subjected to certain initial conditions. The consequences show that this method is efficient and convenient, and can be applied to a large sort of problems. The approximate solutions are compared with the known exact solutions.
Description
Keywords
Residual Power Series Method, Nonlinear Time-Dependent Generalized Fitzhugh-Nagumo Equation, Sharma-Tasso-Olver Equation, Residual power series method, Sharma-Tasso-Olver equation, Mathematical analysis, Quantum mechanics, Convergence Analysis of Iterative Methods for Nonlinear Equations, TJ1-1570, FOS: Mathematics, Series (stratigraphy), Mechanical engineering and machinery, Work (physics), Nonlinear Equations, Biology, Anomalous Diffusion Modeling and Analysis, sort, Numerical Analysis, Arithmetic, Physics, Mathematical optimization, Paleontology, Statistical and Nonlinear Physics, Power series, Power (physics), Applied mathematics, Iterative method, Method of mean weighted residuals, Algorithm, Physics and Astronomy, Modeling and Simulation, Residual, Physical Sciences, Nonlinear system, Thermodynamics, nonlinear time-dependent generalized Fitzhugh-Nagumo equation, Iterative Methods, Galerkin method, Mathematics, Rogue Waves in Nonlinear Systems
Fields of Science
Citation
İnç, M...et al. (2016). A new method for approximate solutions of some nonlinear equations: Residual power series method. Advance In Mechanical Engineering, 8(4). http://dx.doi.org/10.1177/1687814016644580
WoS Q
Q3
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Q2
OpenCitations Citation Count
25
Source
Advances in Mechanical Engineering
Volume
8
Issue
4
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End Page
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CrossRef : 23
Scopus : 29
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