Research Article
Numerical Solution of Robin-Dirichlet Problem for a Nonlinear Wave Equation with Memory Term
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@INPROCEEDINGS{10.1007/978-3-030-92942-8_15, author={Le Thi Mai Thanh and Tran Trinh Manh Dung and Nguyen Huu Nhan}, title={Numerical Solution of Robin-Dirichlet Problem for a Nonlinear Wave Equation with Memory Term}, proceedings={Nature of Computation and Communication. 7th EAI International Conference, ICTCC 2021, Virtual Event, October 28--29, 2021, Proceedings}, proceedings_a={ICTCC}, year={2022}, month={1}, keywords={Wave equation Faedo-Galerkin method Finite-difference method Robin-Dirichlet condition Memory term 35L05 35L15 35L20 35L55 35L70}, doi={10.1007/978-3-030-92942-8_15} }- Le Thi Mai Thanh
Tran Trinh Manh Dung
Nguyen Huu Nhan
Year: 2022
Numerical Solution of Robin-Dirichlet Problem for a Nonlinear Wave Equation with Memory Term
ICTCC
Springer
DOI: 10.1007/978-3-030-92942-8_15
Abstract
In this paper, we propose a numerical procedure to find the approximate solution of initial-boundary value problem for a nonlinear wave equation with memory term. First, the local existence and uniqueness is proved by the linear approximating method and the Faedo-Galerkin method. Next, a numerical scheme is constructed by the finite-difference method and the standard arguments of ordinary differential equation. Finally, an example is given to simulate the numerical results of the proposed algorithm.
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