Linearizability of Nonlinear Third-Order Ordinary Differential Equations by Using a Generalized Linearizing Transformation | Zendy

Ekkarath Thailert | Zendy; Supaporn Suksern | Zendy

Open Access

Linearizability of Nonlinear Third-Order Ordinary Differential Equations by Using a Generalized Linearizing Transformation

Author(s) -

Ekkarath Thailert,

Supaporn Suksern

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/486717

Subject(s) - mathematics , ordinary differential equation , linearization , linearizability , transformation (genetics) , nonlinear system , riccati equation , exact differential equation , differential equation , mathematical analysis , physics , biochemistry , chemistry , algorithm , quantum mechanics , correctness , gene

We discuss the linearization problem of third-order ordinary differential equation under the generalized linearizing transformation. We identify the form of the linearizable equations and the conditions which allow the third-order ordinary differential equation to be transformed into the simplest linear equation. We also illustrate how to construct the generalized linearizing transformation. Some examples of linearizable equation are provided to demonstrate our procedure

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