Numerical solution of fractional partial integro-differential equations with weakly singular kernel based on the Sinc basis

2025/10/30 by Moosavipour, Soheila, Fariborzi Araghi, Mohammad Ali, Kiany, Fatemeh +2
#Convergence #Finite differences method #Fractional partial integro-differential equations (FPIDE) #Product trapezoidal integration rule #Sinc collocation method #Weakly singular kernel

paper · doi:10.57647/mathsci.2025.1901.05

Abstract

This paper is concerned with obtaining approximate numerical solutions of a class of fractional partial integro-differential equations with weakly singular kernel by Sinc bases. For this purpose, a local Sinc method based on single exponential (SE) and the finite differences in combination with the trapezoidal integration rule are used to break down the location and the timeframe, respectively. The convergence analysis of the proposed method is taken into consideration and the same numerical examples are given to verify the theoretical results.

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