دوره 13، شماره 2 - ( 7-1397 )                   جلد 13 شماره 2 صفحات 111-132 | برگشت به فهرست نسخه ها

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Rahimkhani P, Ordokhani Y, Babolian E. A Numerical Scheme for Solving Nonlinear Fractional Volterra Integro-Differential Equations. IJMSI. 2018; 13 (2) :111-132
URL: http://ijmsi.ir/article-1-868-fa.html
A Numerical Scheme for Solving Nonlinear Fractional Volterra Integro-Differential Equations. مجله علوم ریاضی و انفورماتیک ایرانیان. 1397; 13 (2) :111-132

URL: http://ijmsi.ir/article-1-868-fa.html


چکیده:  

In this paper, a Bernoulli pseudo-spectral method for solving
nonlinear fractional Volterra integro-differential equations is considered.
First existence of a unique solution for the problem under study is proved.
Then the Caputo fractional derivative and Riemman-Liouville fractional
integral properties are employed to derive the new approximate formula
for unknown function of the problem. The suggested technique transforms
these types of equations to the solution of systems of algebraic equations.
In the next step, the error analysis of the proposed method is investigated.
Finally, the technique is applied to some problems to show its validity and
applicability.

نوع مطالعه: پژوهشي | موضوع مقاله: تخصصي

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