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Reduction of Second-Order Ordinary Differential Equations into General Linear Equations via Point Transformations and its Application |
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PP: 249-259 |
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doi:10.18576/amis/140209
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Author(s) |
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Supaporn Suksern,
Chanikan Sawatdithep,
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Abstract |
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| We study the linearization of nonlinear second-order ordinary differential equations from the
point transformation viewpoint. A new algorithm for finding linearizing point transformation is
constructed. The transformation is used to map the underlying class of equations into a linear second-order ordinary differential equation
which is in the general form. The general solution of this class of equations is obtained by solving the linearized equation and
applying the point transformation. Moreover, we apply the obtained linearization criteria to the interesting problems of nonlinear ordinary differential equations,
nonlinear partial differential equations and system of nonlinear ordinary differential equations.
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