ملخص
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.
اللغة الأصلية | English |
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رقم المقال | 550 |
دورية | Mathematics |
مستوى الصوت | 7 |
رقم الإصدار | 6 |
المعرِّفات الرقمية للأشياء | |
حالة النشر | Published - 2019 |
ASJC Scopus subject areas
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