A fully discretization approach for nonlinear Phi-four equations

Volume 3, Issue 1 - Serial Number 1
December 2024
Pages 38-45

Document Type : Invited paper

Author

Department of Mathematics, Tafresh University, Tafresh 39518-79611, Iran.

Abstract
In this paper, a fully discretization approach is established for accurate and efficient solution of nonlinear time-dependent Phi-four equations arising in particle physics and quantum mechanics. In the suggested approach, the lobatto pseudospectral method is used to discretize the desired problem. So, the Phi-four equation is converted into a set of nonlinear algebraic equations. The primary benefit of the suggested approach is that, it produces excellent results with just few discretization points and has a fast rate of convergence. Numerical results are showcased to verify the precision and effectiveness of the suggested approach for solving nonlinear Phi-four equations.

Keywords

  • Receive Date 02 August 2024
  • Revise Date 23 September 2024
  • Accept Date 26 September 2024