A unified approach to solving parabolic Volterra partial integro-differential equations for a broad category of kernels: Numerical analysis and computing

A unified approach to solving parabolic Volterra partial integro-differential equations for a broad category of kernels: Numerical analysis and computing

This work is concerned with solving parabolic Volterra partial integro-differential equations (PIDE) considering differentiable and singular kernels. The implicit finite difference scheme is implemented to approximate the differential operator, and the nonlocal term is discretized based on an open-t...

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Bibliographic Details
Main Authors: M. Fakharany, Mahmoud M. El-Borai, M.A. Abu Ibrahim
Format: Article
Language:English
Published: Elsevier 2024-02-01
Series:Results in Applied Mathematics
Subjects:
Volterra PIDE
Unit step function
Implicit finite difference scheme
Numerical integration of open type
Numerical analysis
Online Access:http://www.sciencedirect.com/science/article/pii/S2590037423000717

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http://www.sciencedirect.com/science/article/pii/S2590037423000717

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