Analyzing the structure of solutions for weakly singular integro-differential equations with partial derivatives

• Published in: AIMS mathematics Vol. 9; no. 9; pp. 23182 - 23196
• Main Authors: Rajab, Ahmed M., Pishbin, Saeed, Shokri, Javad
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2024
• Subjects: convergence analysis; integro-differential equations; spectral method; volterra–fredholm integral equations; weakly singular integral equations

In this work, we analyze the approximate solution of a specific partial integro-differential equation (PIDE) with a weakly singular kernel using the spectral Tau method. It present a numerical solution procedure for this PIDE, which is transferred into a Volterra–Fredholm integral equation (VFIE), a...