Moving collocation method for a reaction-diffusion equation with a traveling heat source

2013 ◽  
Vol 29 (6) ◽  
pp. 2047-2060
Author(s):  
Kewei Liang ◽  
Hancan Zhu
Author(s):  
Mohammad Ramezani

AbstractThe main propose of this paper is presenting an efficient numerical scheme to solve WSGD scheme for one- and two-dimensional distributed order fractional reaction–diffusion equation. The proposed method is based on fractional B-spline basics in collocation method which involve Caputo-type fractional derivatives for $$0 < \alpha < 1$$ 0 < α < 1 . The most significant privilege of proposed method is efficient and quite accurate and it requires relatively less computational work. The solution of consideration problem is transmute to the solution of the linear system of algebraic equations which can be solved by a suitable numerical method. The finally, several numerical WSGD Scheme for one- and two-dimensional distributed order fractional reaction–diffusion equation.


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