%0 Journal Article
%T An LN-stable method to solve the fractional partial integro-differential equations
%J Journal of Mathematical Modeling
%I University of Guilan
%Z 2345-394X
%A Ziyaee, Fahimeh
%A Tari, Abolfazl
%D 2023
%\ 03/01/2023
%V 11
%N 1
%P 133-156
%! An LN-stable method to solve the fractional partial integro-differential equations
%K Volterra fractional partial integro-differential equation
%K method of lines
%K LN-stability
%K Convergence
%R 10.22124/jmm.2023.22727.2013
%X 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.
%U https://jmm.guilan.ac.ir/article_6128_81cc0b3754c4903f5690e07f77557126.pdf