Stable numerical solution to a Cauchy problem for a time fractional diffusion equation
β Scribed by Wei, T.; Zhang, Z.Q.
- Book ID
- 121453147
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 799 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0955-7997
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## Abstract Let __D__ β β^__n__^ be a bounded domain with piecewiseβsmooth boundary, and __q__(__x__,__t__) a smooth function on __D__ Γ [0, __T__]. Consider the timeβlike Cauchy problem magnified image magnified image Given __g__, __h__ for which the equation has a solution, we show how to approxi
In this paper, the authors propose a numerical method to compute the solution of the Cauchy problem: w t -(w m w x ) x = w p , the initial condition is a nonnegative function with compact support, m > 0, p m + 1. The problem is split into two parts: a hyperbolic term solved by using the Hopf and Lax