A New Approach for Solving Nonlinear Systems of Second-Order Boundary Value Problems

Publish Year: 1395
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:

CHCONF02_419

تاریخ نمایه سازی: 9 مرداد 1395

Abstract:

In this paper we have released a new perspective for solving systems of complex nonlinear differential equations of boundary value problems by simply viewing them as a multi objective optimization problem. In this paper firstly, the orthogonal collocation method is utilized for solving a nonlinear system of second-order boundary value problem. After finding the approximate results by the mentioned method, we use of a modified imperialistic competitive algorithm as an optimization tool in order to minimizing the obtained error of approximated solution in compare with the exact one. Numerical example is contained to represent the reliability and applicability of the method and the results are compared with one of the standard techniques that are used for solving this kind of differential equations systems. A concise report which was made on the credibility of the resulted data implies that the modified imperialistic competitive algorithm model as an optimization algorithm is able to deal with nonlinear system of second-order boundary value problems and also work better than different techniques like sinc-collocation and etc.

Authors

Seyyed Mohammadreza Hesami

Chemical and Petroleum Engineering Department, Shiraz University, Shiraz, Iran

Mohammad Ebrahimnejad

Chemical and Petroleum Engineering Department, Shiraz University, Shiraz, Iran

Ziba Amiri

Chemical and Petroleum Engineering Department, Shiraz University, Shiraz, Iran

Mohammad Khorrasani

Chemical and Petroleum Engineering Department, Shiraz University, Shiraz, Iran

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