E. Akinola, Johnson Adekunle Owolabi, S. Alao, O. S. Sangoniyi
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引用次数: 0
摘要
利用Aboodh变换级数分解法(Aboodh Transform Series Decomposition, ATSDM)确定高阶非线性边值问题的近似解,该方法通过求问题的积分和逆变换,展开指数函数,同时分解非线性项。得到的结果表明,ATSDM是一种优秀的、可信的近似方法,可以用于任何类似于本文提出的问题获得准确的结果。
AN INTEGRAL TRANSFORM TOGETHER WITH TAYLOR SERIES AND DECOMPOSITION METHOD FOR THE SOLUTIONONLINEAR BOUNDARY VALUE PROBLEMS OF HIGHER ORDER
This work aims to determine the approximate solutions of nonlinear boundary value problems of higher order obtained through the Aboodh Transform Series Decomposition Method (ATSDM), a method designed to find the integral and the inverse transform of the problems, expand the exponential function, and simultaneously decompose the nonlinear terms. The results obtained demonstrate that ATSDM is an excellent and trusted approximate method that can be employed to obtain accurate results for any problem similar to the one presented in this work.