HIGH-ORDER CONVERGENCE OF AN ITERATIVE SCHEME FOR A NON-LOCAL WAVE EQUATION OF KIRCHHOFF-CARRIER TYPE
Keywords:
Faedo-Galerkin method, Robin conditions, High-order iterative scheme, Kirchhoffa Carrier type equation
Abstract
In this paper, an initial-boundary value problem for a KirchhoffCarrier type wave equation is considered. First, a recurrent sequence is constructed and associated with the proposed problem in which the nonlinear quantity on the right-hand side is expanded to Taylor series for multi-variable function. Next, by establishing some suitable conditions and inheriting same proofs of previous works, a theorem of local existence for the sequence is declared. Finally, a high-order convergent scheme is established and an error estimation is also obtained.
