Analytical Solutions of Time-Caputo-type and Space Riesz-type Distributed Order Diffusion Equation In Three Dimensional Space

The difficulty in solving distributed order differential equations lies in the fact that the order of the derivative is distributed within a finite interval. This paper discusses the initial boundary value problem of three-dimensional diffusion equations of time Caputo type distribution order and th...

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Bibliographic Details
Published inIAENG international journal of applied mathematics Vol. 54; no. 1; pp. 33 - 39
Main Authors Zheng, Dayi Y, Chen, Jiangbin B
Format Journal Article
LanguageEnglish
Published Hong Kong International Association of Engineers 01.01.2024
Subjects
Applied mathematics
Boundary value problems
College professors
Composite materials
Differential equations
Diffusion index
Education
Exact solutions
Laplace transforms
Mathematical analysis
Spectral methods
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Summary:The difficulty in solving distributed order differential equations lies in the fact that the order of the derivative is distributed within a finite interval. This paper discusses the initial boundary value problem of three-dimensional diffusion equations of time Caputo type distribution order and the initial boundary value problem of three-dimensional diffusion equations s time Caputo type space Riesz type distribution order. The analytical solution of the initial boundary value problem of three-dimensional diffusion equations s time Caputo type distribution order is obtained using the separation of variables method, and the analytical solution of the initial boundary value problem of three-dimensional diffusion equations of time Caputo type space Riesz type distribution order is obtained using spectral method and Laplace transform.
ISSN:1992-9978
1992-9986