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. and 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
Ziyaee, F. , and Tari, A. . "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
CHICAGO
F. Ziyaee and A. 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
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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