Well posedness and numerical solution for a non-local pseudohyperbolic initial boundary value problem

ABSTRACT

In this paper, we study a non-local initial boundary value problem for a one-dimensional pseudohyperbolic equation. We first establish the existence and uniqueness of strong solution, then a numerical solutions for the system will be derived by using the finite-difference method.

KEYWORDS:

• Pseudohyperbolic equation
• finite difference method
• non-local condition
• truncation error
• approximate series solution
• stability analysis

2010 MATHEMATICS SUBJECT CLASSIFICATIONS:

• 35L82
• 35L20
• 65N06
• 35L70

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The authors extend their appreciation to the Deanship of Scientific Research at King Saud University for funding the work through the research group project No: RGP-117.