Abstract
This manuscript concerned with the pseudo-parabolic equation along with initial and boundary conditions. We prove the existence and uniqueness of a solution with the aid of Rothe’s time-discretization technique. We have exemplified the main result.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Barenblbatt, G., Zheltov, I.P., Kochina, I.N.: Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks. J. Appl. Math. Mech. 24, 1286–1303 (1960)
Chen, P.J., Gurtin, M.E.: On a theory of heat conduction involving two temperatures. Z. Angew. Math. Phys. 19, 614–627 (1968)
Coleman, B.D., Noll, W.: An approximation theorem for functionals, with applications in continuum mechanics. Arch. Rational Mech. Anal. 6, 355–370 (1960)
Kato, T.: Nonlinear semigroup and evolution equations. Math. Soc. Jpn. 19, 508–520 (1967)
Maqbul, Md., Raheem, A.: Time-discretization schema for a semilinear pseudo-parabolic equation with integral conditions. Appl. Num. Math. 148, 18–27 (2020)
Pazy, A.: Semigroup of Linear Operators and Application to Partial Differential Equations. Springer-Verlag, New York (1983)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Gupta, N., Maqbul, M. (2022). Approximate Solutions to Pseudo-Parabolic Equation with Initial and Boundary Conditions. In: Banerjee, S., Saha, A. (eds) Nonlinear Dynamics and Applications. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-030-99792-2_78
Download citation
DOI: https://doi.org/10.1007/978-3-030-99792-2_78
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-99791-5
Online ISBN: 978-3-030-99792-2
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)