Perturbation-Iteration Method for First-Order Differential Equations and Systems

الملخص EN

The previously developed new perturbation-iteration algorithm has been applied to differential equation systems for the first time.

The iteration algorithm for systems is developed first.

The algorithm is tested for a single equation, coupled two equations, and coupled three equations.

Solutions are compared with those of variational iteration method and numerical solutions, and a good agreement is found.

The method can be applied to differential equation systems with success.