MODIFIED METHOD OF DIFFERENTIAL TRANSFORMATIONS FOR SOLVING NON-LINEAR PROBLEMS INTECHNOGICAL SPHERE
Journal Title: Вчені записки Таврійського національного університету імені В. І. Вернадського. Серія: Технічні науки - Year 2017, Vol 28, Issue 2
Abstract
Application of modified method of differential transformations for solving problems intechnological sphere, which are described by non-linear differential equations is considered. The approach is based on solving equations in the image field with approximation of non-linear terms of differential equation by corresponding polynomials Adomian and henceforth obtaining of original of solution as a Taylor series. Solutions of differential equations with different nonlinear types are presented and effectiveness of proposed method application has been shown.
Authors and Affiliations
А. В. Гусынин
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