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.

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.
G.
Di Blasio
,
Nonlinear Analysis: Theory, Method & Applications
52
(
2
) (
2003
).
4.
V.V.
Vlasov
and
N.A.
Rautian
,
Spectral Analysis of Functional Differential Equations
(
MAKS Press
,
Moscow
,
2016
). (Russian).
5.
A.L.
Skubachevskii
,
Doklady Akademii Nauk
335
(
2
),
157
160
(
1994
).
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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