Application of differential transform method and Adomian decomposition method for solving of one nonlinear boundary-value-transmission problem

• Published in: AIP conference proceedings Vol. 2183; no. 1
• Main Authors: Yücel, Merve, Mukhtarov, Oktay
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Melville American Institute of Physics 06.12.2019
• Subjects: Boundary conditions; Boundary value problems; Cybernetics; Decomposition; Exact solutions; Mathematical analysis; Nonlinear analysis; Nonlinear differential equations; Perturbation methods

In this study, we will found the approximate solution of one nonlinear boundary-value-transition problem by using Adomian Decomposition Method and Differential Transform Method. Namely we investigate the nonlinear differential equation, y″(x)+y2(x)=λy(x),x∈[1,2)∪(2,3] subject to boundary conditions...