Solving Nonlinear Differential Algebraic Equations by an Implicit GL(n,ℝ)‎ Lie-Group Method

الملخص EN

We derive an implicit GL(n,ℝ) Lie-group algorithm together with the Newton iterative scheme to solve nonlinear differential algebraic equations.

Four numerical examples are given to evaluate the efficiency and accuracy of the new method when comparing the computational results with the closed-form solutions.