Shahid Beheshti UniversityComputational Mathematics and Computer Modeling with Applications (CMCMA)2783-48593120241201A fully discretization approach for nonlinear Phi-four equations384510490110.48308/CMCMA.3.1.38ENMohammad Ali MehrpouyaDepartment of Mathematics, Tafresh University, Tafresh 39518-79611, Iran.0000-0001-9598-4943Journal Article20240802In 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.https://cmcma.sbu.ac.ir/article_104901_614d62fa90b8e1549ad38d905ee4818f.pdf