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UM E-Theses Collection (澳門大學電子學位論文庫)

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Title

High order compact schemes for fractional differential equations with mixed derivatives

English Abstract

In this paper, we consider two dimensional fractional sub-diffusion equations with mixed derivatives. A high order compact scheme is proposed to solve the problem. We establish a sufficient condition and show that the scheme converges with fourth order in space and second order in time under this condition. We first give an introduction in Chapter 1. In Chapter 2, we proposed the compact scheme. Chapter 3 is devoted to theoretical analysis concerning with stability and convergence. It is then followed by numerical demonstration in Chapter 4. The last section is a brief conclusion of results given by this paper.

Issue date

2017

Author

Shi, Chen Yang

Faculty

Faculty of Science and Technology

Degree

M.Sc.

Subject

Fractional differential equations

Supervisor

Vong, Seak Weng

Files In This Item

Full-text (Intranet)

Location
1/F Zone C
Library URL
991005795089706306