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In this work, the Laplace Adomian-Decomposition method was used to solve Duffing oscillator equation. The solution to both integer and fractional case Duffing Oscillator was discussed in this work. Different types of the integer case Duffing oscillator was solved, and the analytic solution was gotten. The graphical plots also have been presented for different values of damping parameter. From the graph, we have given the conclusion for the nature of damping. The two-kind fractional Duffing was also considered, and analytical solutions/conclusion was drawn. Stability analysis of the linear and non-linear system was considered on both integer and fractional case. The work also considered the construction of Lyapunov function by Cartwright method for Duffing type equation discussed here.Product Identifiers
PublisherLAP
ISBN-139786200485588
eBay Product ID (ePID)13046681103
Product Key Features
SubjectMathematics
Publication Year2019
Number of Pages80 Pages
Publication NameApplication of Laplace Adomian-Decomposition Method (Ladm) to Duffing Equation
LanguageEnglish
TypeTextbook
AuthorDaniel Nnaji
FormatPaperback
Dimensions
Item Height229 mm
Item Weight127 g
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