Nonlinear explicit difference schemes for solving parabolic equations

1993 ◽  
Vol 65 (6) ◽  
pp. 1943-1945
Author(s):  
Ya. N. Glinskii
Keyword(s):  
Parabolic Equations ◽  
Difference Schemes ◽  
Explicit Difference Schemes

Second Order of Accuracy Difference Schemes for Ultra Parabolic Equations

2011 ◽  
Author(s):  
Allaberen Ashyralyev ◽  
Serhat Yilmaz ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras ◽  
...  
Keyword(s):  
Parabolic Equations ◽  
Second Order ◽  
Difference Schemes ◽  
Order Of Accuracy ◽  
Accuracy Difference

scholarly journals Numerical Solution of a Kind of Fractional Parabolic Equations via Two Difference Schemes

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Abdon Atangana ◽  
Dumitru Baleanu
Keyword(s):  
Parabolic Equation ◽  
Fractional Calculus ◽  
Numerical Solution ◽  
Parabolic Equations ◽  
Difference Schemes ◽  
Stability And Convergence ◽  
Implicit Schemes ◽  
The Stability

A kind of parabolic equation was extended to the concept of fractional calculus. The resulting equation is, however, difficult to handle analytically. Therefore, we presented the numerical solution via the explicit and the implicit schemes. We presented together the stability and convergence of this time-fractional parabolic equation with two difference schemes. The explicit and the implicit schemes in this case are stable under some conditions.

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