Optimization of solution stiff differential equations using MHAM and RSK methods

Subject Areas : Non linear Programming

شادان  صدیق بهزادی ¹ (گروه ریاضی دانشگاه آزاد اسلامی واحد قزوین)

Received: 2017-12-17 Accepted : 2018-04-27 Published : 2019-06-01

Keywords: Optimization, Stiff differential equations, Power series method, MHAM method, RSK method,

Abstract :

In this paper, a nonlinear stiff differential equation is solved by using the Rosenbrock iterative method, modified homotpy analysis method and power series method. The approximate solution of this equation is calculated in the form of series which its components are computed by applying a recursive relations. Some numerical examples are studied to demonstrate the accuracy of the presented methods.

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