Some modifications on RCAM for getting accurate closed-form approximate solutions of Duffing- and Lienard-type equations
Some modifications on RCAM for getting accurate closed-form approximate solutions of Duffing- and Lienard-type equations
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对 RCAM 进行一些修改，以获得 Duffing 和 Lienard 型方程的精确闭式近似解
DOI：
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发表时间：
2019
期刊：
影响因子：
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通讯作者：
M. M. Panja
中科院分区：
文献类型：
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作者：
Prakash Kumar Das;Debabrata Singh;M. M. Panja
本文对Adomian分解方法进行了一些改进，得到了Duffing型和Li ′ enard型非线性常微分方程的精确封闭形式的近似解或精确解，并利用改进的Adomian分解方法得到的结果导出了参数间的约束条件，使解有界.本计划似乎是有效的，并可被视为明显不同的方法的汇合，以获得各种非线性常微分方程的精确解出现在几个物理过程的数学模型。
In this work, authors propose some modifications Adomian decomposition method to get some accurate closed form approximate or exact solutions of Duffing- and Li´enard-type nonlinear ordinary differential equations.Results obtained by the revised scheme have been exploited subsequently to derive constraints among parameters to get the solutions to be bounded. The present scheme appears to be efficient and may be regarded as the confluence of apparently different methods for getting exact solutions for a variety of nonlinear ordinary differential equations appearing as mathematical models in several physical processes.