Applications of Point Transformation on Third-Order Ordinary Differential Equations

We have developed a new procedure for converting nonlinear third-order ordinary differential equations into linear forms using point transformation. These linear equations are more general and easier to solve. By applying the point transformation again, we can obtain the general solutions for the original nonlinear equations. The key feature of this work is the use of examples to demonstrate the application of the derived linearization criteria to various existing problems, including third-order ordinary differential equations, secondorder ordinary differential equations under the Riccati transformation and third-order partial differential equations under travelling wave solutions. © 2023,IAENG International Journal of Computer Science. All Rights Reserved.