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UM E-Theses Collection (澳門大學電子學位論文庫)

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Title

A compact difference scheme for fractional sub-diffusion equations with the spatially variable coefficient under Neumann boundary conditions

English Abstract

In this thesis, a compact finite difference scheme with global convergence order O(τ 2−α + h 4 ) is derived for fractional sub-diffusion equations with the spatially variable coefficient subject to Neumann boundary conditions. The difficulty caused by the variable coefficient and the Neumann boundary conditions is overcome by subtle decomposition of the coefficient matrices. The stability and convergence of the proposed scheme are studied using its matrix form by the energy method. The theoretical results are supported by numerical experiments.

Issue date

2015.

Author

Lyu, Pin

Faculty

Faculty of Science and Technology

Department

Department of Mathematics

Degree

M.Sc.

Subject

Finite differences

Fractional differential equations

Supervisor

Vong, Seak Weng

Files In This Item

Full-text (Intranet only)

Location
1/F Zone C
Library URL
991000752999706306