Numerical-analytical methods for solving the Cauchy problem for evolutionary equations with memory

DOI10.1134/s199508022310044xMaRDI QIDQ6544154

Petr N. Vabishchevich

Publication date: 27 May 2024

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Volterra integrodifferential equationtwo-level schemessystem of evolutionary equationsapproximation by sum of exponentials

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for integral equations, integral transforms (65Rxx) Volterra integral equations (45Dxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical solution of the Cauchy problem for a second-order integro-differential equation
• Approximate solution of the Cauchy problem for a first-order integrodifferential equation with solution derivative memory
• Numerical solution of the heat conduction problem with memory
• Numerical solution of the Cauchy problem for Volterra integrodifferential equations with difference kernels
• Two-level finite difference scheme of improved accuracy order for time-dependent problems of mathematical physics
• Finite Element Methods for Integrodifferential Equations
• Flux-splitting schemes for parabolic equations with mixed derivatives

This page was built for publication: Numerical-analytical methods for solving the Cauchy problem for evolutionary equations with memory