Analyzing the structure of solutions for weakly singular integro-differential equations with partial derivatives
Ahmed M. Rajab,
Saeed Pishbin,
Javad Shokri
Abstract:<p>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), and the spectral method is performed on VFIE. In some illustrated examples, we show that the VFIE problem has high numerical stability with respect to the original form of the PIDE problem. For this aim, we … Show more
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