On a High-Order Iterative Scheme for a Nonlinear Pseudoparabolic Equation with Viscoelastic Term

Authors

  • Nguyen Huu Nhan
  • Truong Thi Nhan
  • Le Thi Phuong Ngoc
  • Nguyen Thanh Long Vietnam National University

Keywords:

nonlinear pseudoparabolic equation, Faedo-Galerkin approximation, high order iterative scheme

Abstract

In this paper, we study an initial boundary problem for a nonlinear pseudoparabolic equation with Robin-Dirichlet conditions. By constructing a high order iterative scheme, the local existence and uniqueness of solutions are proved. Moreover, we also show that the sequence associated with this high order iterative scheme converges at N-order rate, with N >= 2, to the unique weak solution of the problem.

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Published

2024-12-20

How to Cite

Nhan, N. H., Nhan, T. T., Ngoc, L. T. P., & Long, N. T. (2024). On a High-Order Iterative Scheme for a Nonlinear Pseudoparabolic Equation with Viscoelastic Term. Thai Journal of Mathematics, 22(3), 545–565. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1708

Issue

Vol. 22 No. 3 (2024): September

Section

Articles