Hybrid Methods for Solving Nonlinear ODE of the First Order

Ibrahimov, Vagif; Imanova, Mehriban
February 2015
AIP Conference Proceedings;2015, Vol. 1648 Issue 1, p1
Conference Proceeding
There is a wide range of numerical methods for solving differential equations. Each method has advantages and disadvantages. Criteria to evaluate these methods include stability, highest degree, an extended stability region, simple structure, etc. Our numerical solution for ordinary differential equations, the second derivative hybrid method, is constructed from concrete methods of degree p ≤ 10. We illustrate our results with specific examples and compare the method constructed here with previously known methods.


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