Approximate solution of nonlinear differential system with time variation

Rezaul Karim, Pinakee Dey, Saikh Shahjahan Miah
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Abstract

this paper develops a reliable algorithm based on the general Struble’s technique and extended KBM method for solving nonlinear differential systems. Moreover, we find a solution based on the KBM and general Struble’s technique of nonlinear autonomous systems with time variation, which is more powerful than the existing perturbation method. Finally, results are discussed, primarily to enrich the physical prospects, and shown graphically by utilizing MATHEMATICA and MATLAB software. Journal of Bangladesh Academy of Sciences, Vol. 44, No. 2, 121-130, 2020
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时变非线性微分系统的近似解
本文基于一般鲁布尔技术和扩展KBM方法,提出了求解非线性微分系统的可靠算法。此外,我们还找到了一种基于KBM和具有时变的非线性自治系统的一般Struble技术的解,它比现有的摄动方法更有效。最后对结果进行了讨论,主要是为了丰富物理前景,并利用MATHEMATICA和MATLAB软件进行了图形化展示。《孟加拉国科学院学报》,第44卷,第2期,121-130,2020
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