In the present paper, hyperbolic type involutory partial differential equations are studied. The first and second order of accuracy difference schemes for the numerical solution of the initial boundary value problem for one dimensional hyperbolic type involutory partial differential equations are presented. Some numerical results are provided.
Topics
Numerical algorithms
REFERENCES
1.
A.
Ardito
and P.
Ricciardi
, Nonlinear Analysis: Theory, Method & Applications
4
(2
), 411
–414
(1980
).2.
Delay Differential Equations and Applications
, Editors by O.
Arino
, M.L.
Hbid
and E. Ait
Dads
(Springer
, Berlin
, 2006
).3.
4.
V.V.
Vlasov
and N.A.
Rautian
, Spectral Analysis of Functional Differential Equations
(MAKS Press
, Moscow
, 2016
). (Russian).5.
6.
R.
Nesbit
, Delay Differential Equations for Structured Populations, Structured Population Models in Marine, Terrestrial and Freshwater Systems
(Uljapurkar & Caswell
, ITP
, 1997
).7.
A.
Ashyralyev
and A.M. Saeed
Ahmed
, AIP Conference Proceedings
2183
, 070010
(2019
).8.
A.
Ashyralyev
and T.
Abbas
, AIP Conference Proceedings
2183
, 070015
(2019
).9.
A.
Ashyralyev
and D.
Agirseven
, Mathematics
7
(12
), 1
–38
(2019
).10.
N.
Son
and H.
Thao
, Journal of Intelligent and Fuzzy Systems
, 36
(6
), 6295
–6306
(2019
).11.
A.
Ashyralyev
and A. M.
Sarsenbi
, Stability of a hyperbolic equation with the involution, in Springer Proceedings in Mathematics & Statistics
216
(2016
), 204
–212
, Springer
, Cham
.12.
Q.
Zhang
and C.
Zhang
, International Journal of Computer Mathematics
, 91
(5
), 964
–982
(2014
).13.
P.
Prakash
and S.
Harikrishnan
, Applicable Analysis
91
(3
), 459
–473
(2012
).
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