A unified approach to solving parabolic Volterra partial integro-differential equations for a broad category of kernels: numerical analysis and computing
DOI10.1016/j.rinam.2023.100425MaRDI QIDQ6197606
M. A. Abu Ibrahim, Mahmoud M. El-Borai, M. Fakharany
Publication date: 20 March 2024
Published in: Results in Applied Mathematics (Search for Journal in Brave)
implicit finite difference schemenumerical analysisunit step functionnumerical integration of open typeVolterra PIDE
Integro-partial differential equations (45K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for discrete and fast Fourier transforms (65T50) Finite difference methods for boundary value problems involving PDEs (65N06) Singularity in context of PDEs (35A21) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Integro-partial differential equations (35R09)
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