Numeric-Analytic Solutions for Nonlinear Oscillators via the Modified Multi-Stage Decomposition Method
| Autor: | Kamel Al-Khaled, Emad A. Az-Zo’bi, Amer Darweesh |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
0209 industrial biotechnology
Work (thermodynamics) Liénard equation General Mathematics Lienard equation 02 engineering and technology Adomian polynomials 01 natural sciences Domain (mathematical analysis) 010305 fluids & plasmas 020901 industrial engineering & automation 0103 physical sciences Convergence (routing) Computer Science (miscellaneous) Applied mathematics Engineering (miscellaneous) Reliability (statistics) Mathematics Van der Pol oscillator Series (mathematics) lcsh:Mathematics Power series method lcsh:QA1-939 van der Pol equation Error analysis Decomposition method (queueing theory) Convergence nonlinear oscillators |
| Zdroj: | Mathematics, Vol 7, Iss 6, p 550 (2019) Mathematics Volume 7 Issue 6 |
| ISSN: | 2227-7390 |
| Popis: | This work deals with a new modified version of the Adomian-Rach decomposition method (MDM). The MDM is based on combining a series solution and decomposition method for solving nonlinear differential equations with Adomian polynomials for nonlinearities. With application to a class of nonlinear oscillators known as the Lienard-type equations, convergence and error analysis are discussed. Several physical problems modeled by Lienard-type equations are considered to illustrate the effectiveness, performance and reliability of the method. In comparison to the 4th Runge-Kutta method (RK4), highly accurate solutions on a large domain are obtained. |
| Databáze: | OpenAIRE |
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