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A High-Order Difference Scheme for the Diffusion Equation of Multi-term and Distributed Orders - MaRDI portal

A High-Order Difference Scheme for the Diffusion Equation of Multi-term and Distributed Orders (Q6106705)

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scientific article; zbMATH DE number 7705587

Language	Label	Description	Also known as
English	A High-Order Difference Scheme for the Diffusion Equation of Multi-term and Distributed Orders	scientific article; zbMATH DE number 7705587

Statements

scholarly article

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A High-Order Difference Scheme for the Diffusion Equation of Multi-term and Distributed Orders (English)

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Anatoly A. Alikhanov

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Aslan Martinovich Apekov

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Cheng-Ming Huang

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Mathematics and its Applications in New Computer Systems

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publication date

3 July 2023

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zbMATH Keywords

time-fractional diffusion equation

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finite difference method

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stability

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convergence

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-030-97020-8_47

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The fractional calculus. Theory and applications of differentiation and integration to arbitrary order

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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Non-Debye relaxation and diffusion in a fractal space.

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Self-maintained processes in the case of nonlinear fractal diffusion

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Variable order and distributed order fractional operators

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Distributed-Order Dynamic Systems

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Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation

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Solving multi-term linear and non-linear diffusion-wave equations of fractional order by Adomian decomposition method

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Homotopy analysis method for solving multi-term linear and nonlinear diffusion-wave equations of fractional order

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An algorithm for solving multi-term diffusion-wave equations of fractional order

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A priori estimates for solutions of boundary value problems for fractional-order equations

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Stability and convergence of difference schemes approximating a two-parameter nonlocal boundary value problem for time-fractional diffusion equation

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Boundary value problems for the diffusion equation of the variable order in differential and difference settings

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Numerical methods of solutions of boundary value problems for the multi-term variable-distributed order diffusion equation

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A new difference scheme for the time fractional diffusion equation

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The temporal second order difference schemes based on the interpolation approximation for solving the time multi-term and distributed-order fractional sub-diffusion equations

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Temporal second order difference schemes for the multi-dimensional variable-order time fractional sub-diffusion equations

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A high-order L2 type difference scheme for the time-fractional diffusion equation

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Identifiers

10.1007/978-3-030-97020-8_47

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6106705

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