Устойчивость и сходимость разностных схем для уравнения диффузии дискретно-распределенного порядка с обобщенными функциями памяти

DOI10.14498/vsgtu1690zbMath1449.65188OpenAlexW2985226494MaRDI QIDQ5216694

A. Kh. Khibiev

Publication date: 18 February 2020

Published in: Вестник Самарского государственного технического университета. Серия «Физико-математические науки» (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vsgtu1690

zbMATH Keywords

stabilityconvergencea priori estimatesfinite difference schemefractional derivativefractional diffusion equationgeneralized memory kernel

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) A priori estimates in context of PDEs (35B45) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11)

Related Items (6)

A second-order difference scheme for the nonlinear time-fractional diffusion-wave equation with generalized memory kernel in the presence of time delay ⋮ A fast implicit difference scheme for solving the generalized time–space fractional diffusion equations with variable coefficients ⋮ Numerical Methods for Solving the Robin Boundary Value Problem for a Generalized Diffusion Equation with a Non-smooth Solution ⋮ A second-order difference scheme for generalized time-fractional diffusion equation with smooth solutions ⋮ Stable numerical schemes for time-fractional diffusion equation with generalized memory kernel ⋮ Boundary value problems for a loaded modified fractional-order moisture transfer equation with the Bessel operator and difference methods for their solution

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data
• Stability and convergence of difference schemes for boundary value problems for the fractional-order diffusion equation
• A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
• A new difference scheme for the time fractional diffusion equation
• A difference method for solving the Steklov nonlocal boundary value problem of second kind for the time-fractional diffusion equation
• Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
• Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation
• A priori estimates for solutions of boundary value problems for fractional-order equations
• A compact finite difference scheme for the fractional sub-diffusion equations
• Numerical methods of solutions of boundary value problems for the multi-term variable-distributed order diffusion equation
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• The temporal second order difference schemes based on the interpolation approximation for solving the time multi-term and distributed-order fractional sub-diffusion equations
• A time-fractional diffusion equation with generalized memory kernel in differential and difference settings with smooth solutions
• Boundary value problems for the diffusion equation of the variable order in differential and difference settings
• Diffusion and Fokker-Planck-Smoluchowski equations with generalized memory kernel
• An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data
• Distributed-Order Dynamic Systems
• Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation
• Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
• Difference methods for solving boundary value problems for fractional differential equations

This page was built for publication: Устойчивость и сходимость разностных схем для уравнения диффузии дискретно-распределенного порядка с обобщенными функциями памяти