High-accuracy difference schemes for the differential equation of 2n-th order

2012 ◽  
Vol 2 (2) ◽  
Author(s):  
Allaberen Ashyralyev ◽  
Rishad Shahmurov
Keyword(s):  
Differential Equation ◽  
High Accuracy ◽  
Difference Schemes ◽  
Accuracy Difference

scholarly journals Difference schemes for the semilinear integral-differential equation of the hyperbolic type

Filomat ◽  
2018 ◽  
Vol 32 (3) ◽  
pp. 1009-1018 ◽  
Author(s):  
Zilal Direk ◽  
Maksat Ashyraliyev
Keyword(s):  
Differential Equation ◽  
Hyperbolic Type ◽  
Difference Schemes ◽  
Initial Value ◽  
Order Of Accuracy ◽  
First Order ◽  
Accuracy Difference ◽  
Convergence Estimates ◽  
Theoretical Results ◽  
Integral Differential Equation

In this paper, the initial-value problem for integral-differential equation of the hyperbolic type in a Hilbert space H is considered. The unique solvability of this problem is established. The first order and the second order of accuracy difference schemes approximately solving this problem are presented. The convergence estimates for the solutions of these difference schemes are obtained. Theoretical results are supported by numerical example.

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
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