A fully discretization approach for nonlinear Phi-four equations

نویسندگان

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

doi
10.48308/CMCMA.3.1.38
چکیده

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.