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.
Ziyaee, F., & Tari, A. (2023). An LN-stable method to solve the fractional partial integro-differential equations. Journal of Mathematical Modeling, 11(1), 133-156. doi: 10.22124/jmm.2023.22727.2013
MLA
Fahimeh Ziyaee; Abolfazl Tari. "An LN-stable method to solve the fractional partial integro-differential equations". Journal of Mathematical Modeling, 11, 1, 2023, 133-156. doi: 10.22124/jmm.2023.22727.2013
HARVARD
Ziyaee, F., Tari, A. (2023). 'An LN-stable method to solve the fractional partial integro-differential equations', Journal of Mathematical Modeling, 11(1), pp. 133-156. doi: 10.22124/jmm.2023.22727.2013
VANCOUVER
Ziyaee, F., Tari, A. An LN-stable method to solve the fractional partial integro-differential equations. Journal of Mathematical Modeling, 2023; 11(1): 133-156. doi: 10.22124/jmm.2023.22727.2013
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