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GENERAL ADAMS METHODS FOR FRACTIONAL DIFFERENTIAL EQUATIONS

عنوان مقاله: GENERAL ADAMS METHODS FOR FRACTIONAL DIFFERENTIAL EQUATIONS
شناسه ملی مقاله: ICBVPA01_066
منتشر شده در اولین کنفرانس بین المللی مسائل مقدار مرزی و کاربردها در سال 1397
مشخصات نویسندگان مقاله:

H.R Marasi - Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
S Irandoust-Pakchin - Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
H Kheiri - Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
M Javidi - Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

خلاصه مقاله:
Solving di erential equations of fractional (i.e., non-integer) order in an accurate,reliable and e cient way is much more di cult than in the standard integer-ordercase. In the eld of numerical treatment of FDEs great attention has been recentlydedicated to the development and the analysis of e cient and accurate methods,mostly of implicit type. In the present paper, we intend to extend the application ofthe general Adams methods to solve the fractional di erential equations. The stabilityproperties (stability region, /(A-stability, A( )-stability)are investigated and plots ofstability regions in the complex plane are presented.

کلمات کلیدی:
Fractional di erential equation, Numerical solution, Multistep method, General Adams methods, Stability

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/801147/