An LN-stable method to solve the fractional partial integro-differential equations
Publish place: Journal of Mathematical Modeling، Vol: 11، Issue: 1
Publish Year: 1402
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JMMO-11-1_009
تاریخ نمایه سازی: 19 خرداد 1403
Abstract:
In this paper, a class of Volterra fractional partial integro-differential equations (VFPIDEs) with initial conditions is investigated. Here, the well-known method of lines (MOLs) is developed to solve the VFPIDEs. To this end, the VFPIDE is converted into a system of first-order ordinary differential equations (ODEs) in time variable with initial conditions. Then the resulting ODE system is solved by an LN-stable method, such as Radau IIA or Lobatto IIIC. It is proved that the proposed method is LN-stable. Also, the convergence of the proposed method is proved. Finally, some numerical examples are given to illustrate the efficiency and accuracy of the proposed method.
Keywords:
Volterra fractional partial integro-differential equation , method of lines , LN-stability , Convergence
Authors
Fahimeh Ziyaee
Department of Mathematics, Shahed University, Tehran, Iran
Abolfazl Tari
Department of Mathematics, Shahed University, Tehran, Iran